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<div>Exploring Binary Poll: I prefer hexadecimal numbers written in:</div>
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Skip to content EXPLORING BINARY Binary Numbers, Binary Code, and Binary Logic Menu * Home * Converters/Calculatorsexpand child menu * Decimal/Two’s Complement Converter * Decimal/Binary Converter * Decimal to Floating-Point Converter * Base Converter * Binary Calculator * Topics * Sitemap * About * Contact NANS, INFINITIES, AND NEGATIVE NUMBERS IN LOAN CALCULATORS By Rick Regan February 6th, 2024 I’ve encountered several NaNs over the years in the normal course of using various websites and apps. I’ve only documented two of them: one in a media player, and one in a podcast app. I recently ran into another one using a loan calculator website. Rather than reporting on just that one, I decided to look for more and report on anything I found all at once. I found many more errors — NaNs, but also infinites, negative numbers, and one called “incomplete data”, whatever that means — all on websites within the top Google search results for “loan calculator”. All I had to do to elicit these errors was to enter large numbers. (And in one case, simply including a dollar sign.) All of the errors arise from the use of floating-point arithmetic combined with unconstrained input values. Some sites even let me enter numbers in scientific notation, like 1e308, or even displayed them as results. Continue reading “NaNs, Infinities, and Negative Numbers In Loan Calculators” Categories Numbers in computersTags Bug, Floating-pointLeave a comment on NaNs, Infinities, and Negative Numbers In Loan Calculators INCORRECT HEXADECIMAL TO FLOATING-POINT CONVERSIONS IN DAVID GAY’S STRTOD() By Rick Regan January 30th, 2024 I wrote about Visual C++ incorrectly converting hexadecimal constants at the normal/subnormal double-precision floating-point boundary. It turns out that David Gay’s strtod() also has a problem with the same inputs, converting them all to 0 instead of 0x1p-1022. I have emailed Dave Gay to report the problem; I will update this post when he responds. Categories Numbers in computersTags Bug, Floating-point INCORRECT HEXADECIMAL TO FLOATING-POINT CONVERSIONS IN VISUAL C++ By Rick Regan January 26th, 2024 Martin Brown, through a referral on his Stack Overflow question, contacted me about incorrect hexadecimal to floating-point conversions he found in Visual C++, specifically conversions using strtod() at the normal/subnormal double-precision floating-point boundary. I confirmed his examples, and also found an existing problem report for the issue. It is not your typical “off by one ULP due to rounding” conversion error; it is a conversion returning 0 for a non-zero input or returning numbers with exponents off by binary orders of magnitude. Continue reading “Incorrect Hexadecimal to Floating-Point Conversions in Visual C++” Categories Numbers in computersTags Bug, C, Code, Convert to hexadecimal, Floating-point, Java, Python CHATGPT WILL NEVER WRITE FOR EXPLORING BINARY By Rick Regan September 16th, 2023 I got an unsolicited email from a company offering to write AI (ChatGPT) generated articles for my site. This is the snippet they sent of their sample article: > Mastering Decimal, Binary, & Two’s Complement Conversion > > In the digital world, understanding numerical notations like decimal, binary, > and two’s complement can provide a substantial advantage and presents > opportunities for improved problem-solving. The journey starts with the basic > foundation of decimal … I did not click through the tracking link to get the rest of the article but it looks like the generic fluff ChatGPT wrote when I asked it about Exploring Binary. It’s worse than fluff actually; I don’t see how knowing numerical notations helps with problem solving. If you’ve read anything on this site you’d know immediately that I didn’t write that. Will AI ever be able to write an article indistinguishable from one of my own? I don’t think so. Categories About CHATGPT WRITES DECENT CODE FOR BINARY TO DECIMAL CONVERSION By Rick Regan February 14th, 2023 OK, enough just playing around with ChatGPT; let’s see if it can write some code: Continue reading “ChatGPT Writes Decent Code For Binary to Decimal Conversion” Categories Binary numbersTags Bug, Code, Convert to binary, Floating-point, Kotlin BINARY NUMBERS HAIKU (BY CHATGPT) By Rick Regan February 14th, 2023 Continuing with my recent conversation with ChatGPT I thought I’d ask it if it could write haiku about binary numbers, like I have: Nice, but I was looking for the 5/7/5 syllable format (this is 6/8/5), so I asked for that specifically: Continue reading “Binary Numbers Haiku (by ChatGPT)” Categories Binary numbers WHAT CHATGPT KNOWS ABOUT EXPLORING BINARY (SPOILER: NOT MUCH) By Rick Regan February 13th, 2023 Like everyone else these days I’ve been playing around with ChatGPT: Continue reading “What ChatGPT Knows About Exploring Binary (Spoiler: Not Much)” Categories About JETPACK COMPOSE BYTE CONVERTER APP: 2022 VERSION By Rick Regan August 12th, 2022 I wrote a simple byte to decimal converter app less than two months into starting to learn Jetpack Compose. Now that I have more experience with Compose — in developing a real app and by participating on the #compose channel on Slack (login required) — I wanted to update this demo app to reflect my current understanding of best practices. Continue reading “Jetpack Compose Byte Converter App: 2022 Version” Categories Numbers in computersTags Code, Convert to decimal, Kotlin1 Comment on Jetpack Compose Byte Converter App: 2022 Version ANOMALIES IN INTELLIJ KOTLIN FLOATING-POINT LITERAL INSPECTION By Rick Regan July 19th, 2022 IntelliJ IDEA has a code inspection for Kotlin that will warn you if a decimal floating-point literal exceeds the precision of its type (Float or Double). It will suggest an equivalent literal (one that maps to the same binary floating-point number) that has fewer digits, or has the same number of digits but is closer to the floating-point number. Hovering over a flagged 17-digit literal suggests a 10-digit replacement. For Doubles for example, every literal over 17-digits should be flagged, since it never takes more than 17 digits to specify any double-precision binary floating-point value. Literals with 16 or 17 digits should be flagged if there is a replacement that is shorter or closer. And no literal with 15 digits or fewer should ever be flagged, since doubles have of 15-digits of precision. But IntelliJ doesn’t always adhere to that, like when it suggests an 18-digit replacement for a 13-digit literal! An 18-digit replacement suggested for a 13-digit literal! Continue reading “Anomalies In IntelliJ Kotlin Floating-Point Literal Inspection” Categories Numbers in computersTags Bug, Code, Convert to binary, Convert to decimal, Floating-point, Kotlin SHOWING N! > 2N WHEN N IS A POWER OF TWO By Rick Regan August 22nd, 2021 Which is bigger, 64! or 264? 64! is, because it follows from a proof by induction for any integer n greater than or equal to 4. It’s also easy to just reason that 64! is bigger: 264 is 64 factors of 2, whereas 64! has 64 factors, except all but one of them (1) are 2 or greater. When I saw this problem though I wondered if I could solve it in another way: Could the factors of two alone in 64! be greater than 264? As it turns out, almost. Continue reading “Showing n! > 2n When n Is A Power of Two” Categories Powers of two in numbersTags Exponents, Geometric series, Proof HEXADECIMAL NUMBERS: UPPERCASE OR LOWERCASE? By Rick Regan June 29th, 2021 Do you prefer hexadecimal numbers written with uppercase letters (A-F) or lowercase letters (a-f)? For example, do you prefer the integer 3102965292 written as B8F37E2C or b8f37e2c? Do you prefer the floating-point number 126.976 written as 0x1.fbe76cp6 or 0x1.FBE76Cp6? I ran this poll on my sidebar, and after 96 responses, about 70% are “prefer uppercase” and about 9% are “prefer lowercase”. What do you think? (For the “depends on context” answer I meant things other than numeric values, like the memory representation of strings. However, for the purposes of this article, please answer with just numeric values in mind.) Exploring Binary Poll: I prefer hexadecimal numbers written in: Lowercase (example: 2ea1cfbd) Uppercase (example: 2EA1CFBD) Lowercase or uppercase (depends on context) Lowercase or uppercase (no preference) VoteView Results Crowdsignal.com Continue reading “Hexadecimal Numbers: Uppercase or Lowercase?” Categories Numbers in computersTags Convert to hexadecimal1 Comment on Hexadecimal Numbers: Uppercase or Lowercase? ANOTHER NAN IN THE WILD By Rick Regan March 1st, 2021 I see these from time to time, but I don’t always capture them; here’s one I saw recently while playing a podcast: A NaN in an ad in the app Castbox (click for full image). (According to Castbox, this is an error in the ad and is out of their control.) Categories Numbers in computersTags Bug, Floating-point POSTS NAVIGATION Page 1 Page 2 … Page 16 Next page × search “There are 10 types of people ... those who understand binary and those who don't” FEATURED ARTICLES * Decimal Precision of Binary Floating-Point Numbers It's not 7.22 or 15.95 digits. * Correct Decimal To Floating-Point Using Big Integers You don't need a Ph.D. to convert to floating-point. * 17 Digits Gets You There, Once You’ve Found Your Way You may need more than 17 digits to get the right 17 digits. * The Spacing of Binary Floating-Point Numbers It's all about the gaps. ARTICLES BY TAG Algebra Binary-coded decimal Binary arithmetic Binary integers Bug C Code Convert to binary Convert to decimal Convert to hexadecimal Decimals Education Exponents Floating-point Fractions Geekware Geometric series Java JavaScript Kotlin Modular arithmetic Pascal's triangle PHP Pop culture Proof Python ARTICLES BY YEAR * 2024 * 2023 * 2022 * 2021 * 2020 * 2018 * 2016 * 2015 * 2014 * 2013 * 2012 * 2011 * 2010 * 2009 * 2008 Copyright © 2008-2024 Exploring Binary Privacy policy Powered by WordPress WELCOME TO EXPLORING BINARY EXPLORING BINARY ASKS FOR YOUR CONSENT TO USE YOUR PERSONAL DATA TO: * perm_identity Personalised advertising and content, advertising and content measurement, audience research and services development * devices Store and/or access information on a device expand_moreremove Learn more * How can I change my choice? * What if I don't consent? * How does legitimate interest work? * Do I have to consent to everything? 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Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, User-provided data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent TRIPLELIFT, INC. Cookie duration: 90 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline XANDR, INC. Cookie duration: 90 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline NEORY GMBH Cookie duration: 90 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch Consent NEXXEN GROUP LLC Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline NEURAL.ONE Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Browsing and interaction data more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent ADITION (VIRTUAL MINDS GMBH) Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent ACTIVE AGENT (VIRTUAL MINDS GMBH) Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent TABOOLA EUROPE LIMITED Cookie duration: 366 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent EQUATIV Cookie duration: 396 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent ADFORM A/S Cookie duration: 1 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline MAGNITE, INC. Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline RATEGAIN ADARA INC Cookie duration: 730 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch Consent SIFT MEDIA, INC Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Precise location data, Device identifiers more View details | Privacy policylaunch Consent RAKUTEN MARKETING LLC Cookie duration: 730 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline LUMEN RESEARCH LIMITED Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Browsing and interaction data more View details | Privacy policylaunch Legitimate interesthelp_outline AMAZON AD SERVER Cookie duration: 396 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline OPENX Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent YIELDLAB (VIRTUAL MINDS GMBH) Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent ROKU ADVERTISING SERVICES Cookie duration: 396 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline SIMPLIFI HOLDINGS LLC Cookie duration: 366 (days). Data collected and processed: IP addresses, Precise location data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent PUBMATIC, INC Cookie duration: 90 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline COMSCORE B.V. Cookie duration: 720 (days). Data collected and processed: Authentication-derived identifiers, IP addresses, Probabilistic identifiers, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent FLASHTALKING Cookie duration: 730 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more View details | Privacy policylaunch Consent PULSEPOINT, INC. Cookie duration: 365 (days). Data collected and processed: IP addresses, Device characteristics, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent SMAATO, INC. Cookie duration: 21 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline SEMASIO GMBH Cookie duration: 366 (days). Data collected and processed: IP addresses, Privacy choices, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent CRIMTAN HOLDINGS LIMITED Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline GENIUS SPORTS UK LIMITED Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent CRITEO SA Cookie duration: 390 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline ADLOOX SA Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline BLIS GLOBAL LIMITED Cookie duration: 400 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent LOTAME SOLUTIONS, INC Cookie duration: 274 (days). Data collected and processed: Authentication-derived identifiers, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent LIVERAMP Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent GROUPM UK LIMITED Cookie duration: 395 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline LOOPME LIMITED Cookie duration: 90 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent DYNATA LLC Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent ASK LOCALA Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Precise location data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent NEAR INTELLIGENCE Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent DOUBLEVERIFY INC. Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Browsing and interaction data more View details | Privacy policylaunch Legitimate interesthelp_outline BIDSWITCH GMBH Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent IPONWEB GMBH Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent NEXTROLL, INC. Cookie duration: 183 (days). Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch Consent TEADS FRANCE SAS Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline STRÖER SSP GMBH (SSP) Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline OS DATA SOLUTIONS GMBH & CO. KG Cookie duration: 90 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline PERMODO GMBH Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent PLATFORM161 B.V. Cookie duration: 396 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent ADACADO TECHNOLOGIES INC. (DBA ADACADO) Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Browsing and interaction data more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent BASIS GLOBAL TECHNOLOGIES, INC. Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline SMADEX, S.L.U. Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent BOMBORA INC. Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline EASYMEDIA GMBH Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent REMERGE GMBH Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline ADVANCED STORE GMBH Cookie duration: 365 (days). Data collected and processed: Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline MAGNITE CTV, INC. Cookie duration: 366 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline DELTA PROJECTS AB Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline USEMAX ADVERTISEMENT (EMEGO GMBH) Cookie duration: 365 (days). Data collected and processed: Users’ profiles more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent EMETRIQ GMBH Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent PUBLICIS MEDIA GMBH Cookie duration: 1825 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent M.D. PRIMIS TECHNOLOGIES LTD. Cookie duration: 25 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline ONETAG LIMITED Cookie duration: 396 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent CLOUD TECHNOLOGIES S.A. Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch Consent SMARTOLOGY LIMITED Doesn't use cookies. Data collected and processed: IP addresses more Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline IMPROVE DIGITAL Cookie duration: 90 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline ADOBE ADVERTISING CLOUD Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, IP addresses, Privacy choices, Device identifiers more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline BANNERFLOW AB Cookie duration: 366 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics more View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline TABMO SAS Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent INTEGRAL AD SCIENCE (INCORPORATING ADMANTX) Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data more View details | Privacy policylaunch Legitimate interesthelp_outline WIZALY Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent WEBORAMA Cookie duration: 393 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline JIVOX CORPORATION Cookie duration: 30 (days). Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent SAGE+ARCHER BV Doesn't use cookies. Data collected and processed: Non-precise location data more View details | Privacy policylaunch Consent ON DEVICE RESEARCH LIMITED Cookie duration: 30 (days). Data collected and processed: Non-precise location data, IP addresses, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch Consent ROCKABOX MEDIA LTD Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Browsing and interaction data more View details | Storage details | Privacy policylaunch Legitimate interesthelp_outline EXACTAG GMBH Cookie duration: 180 (days). Data collected and processed: Authentication-derived identifiers, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent CELTRA INC. Doesn't use cookies. Data collected and processed: IP addresses, Device characteristics, Precise location data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline MAINADV SRL Cookie duration: 30 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent GEMIUS SA Cookie duration: 1825 (days). Data collected and processed: Users’ profiles, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent THE KANTAR GROUP LIMITED Cookie duration: 914 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent NIELSEN MEDIA RESEARCH LTD. Cookie duration: 120 (days). Data collected and processed: IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline SOLOCAL SA Cookie duration: 396 (days). Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline PIXALATE, INC. Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Device characteristics, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch Consent ORACLE ADVERTISING Cookie duration: 180 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent NUMBERLY Cookie duration: 180 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Privacy policylaunch Consent AUDIENCEPROJECT APS Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline DEMANDBASE, INC. Cookie duration: 730 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent EFFILIATION / EFFINITY Cookie duration: 2 (days). Data collected and processed: Device characteristics more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent SEENTHIS AB Doesn't use cookies. Data collected and processed: IP addresses, Device characteristics more View details | Privacy policylaunch COMMANDERS ACT Cookie duration: 365 (days). Data collected and processed: IP addresses, Device identifiers more View details | Storage details | Privacy policylaunch Consent TRAVEL AUDIENCE GMBH Cookie duration: 397 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent HUMAN Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Device characteristics, Device identifiers more View details | Privacy policylaunch Legitimate interesthelp_outline ADLUDIO LTD. Doesn't use cookies. Data collected and processed: Device characteristics more View details | Privacy policylaunch Consent BLENDEE SRL Cookie duration: 366 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent INNOVID LLC Cookie duration: 90 (days). Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline PAPIRFLY AS Doesn't use cookies. Data collected and processed: Device characteristics more View details | Privacy policylaunch Legitimate interesthelp_outline NEUSTAR, INC., A TRANSUNION COMPANY Cookie duration: 365 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch ConsentLegitimate interesthelp_outline VERVE GROUP EUROPE GMBH Doesn't use cookies. Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent OTTO (GMBH & CO KG) Cookie duration: 365 (days). Data collected and processed: IP addresses, Users’ profiles, Privacy choices, User-provided data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline ADOBE AUDIENCE MANAGER, ADOBE EXPERIENCE PLATFORM Cookie duration: 180 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. View details | Storage details | Privacy policylaunch Consent LOCALSENSOR B.V. Doesn't use cookies. Data collected and processed: Non-precise location data, IP addresses, Privacy choices, Device characteristics, Precise location data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent ONLINE SOLUTION Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Privacy policylaunch Consent RELAY42 NETHERLANDS B.V. Cookie duration: 730 (days). Data collected and processed: IP addresses, Probabilistic identifiers, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more View details | Storage details | Privacy policylaunch Consent GP ONE GMBH Cookie duration: Uses session cookies. Data collected and processed: Non-precise location data, IP addresses, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline THE MEDIAGRID INC. Cookie duration: 365 (days). Data collected and processed: Non-precise location data, IP addresses, Probabilistic identifiers, Privacy choices, Device characteristics, Precise location data, Browsing and interaction data, Device identifiers more Cookie duration resets each session. Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent MINDTAKE RESEARCH GMBH Cookie duration: 180 (days). Data collected and processed: IP addresses, Probabilistic identifiers, Users’ profiles, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Privacy policylaunch Consent CINT AB Cookie duration: 730 (days). Data collected and processed: IP addresses, Privacy choices, Device characteristics, Browsing and interaction data, Device identifiers more View details | Privacy policylaunch Consent GOOGLE ADVERTISING PRODUCTS Cookie duration: 396 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch ConsentLegitimate interesthelp_outline GFK GMBH Cookie duration: 730 (days). Data collected and processed: Authentication-derived identifiers, Non-precise location data, IP addresses, Users’ profiles, Privacy choices, User-provided data, Device characteristics, Browsing and interaction data, Device identifiers more Uses other forms of storage. View details | Storage details | Privacy policylaunch Consent REVJET Cookie duration: 730 (days). Data collected and processed: Non-precise location data, IP addresses, Users’ profiles, Privacy choices, Device identifiers more Cookie duration resets each session. 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