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## Pages

- About Exploring Binary
- Binary Calculator
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- Converters and Calculators
- Decimal/Binary Converter
- Decimal/Two’s Complement Converter
- Sitemap
- Topics

## Articles

**Category:**About- About the Header Image
- About the Math Notation
- About The Name Exploring Binary
- College Notebook: When I Was Taught Floating-Point
- Exploring Binary is Live!
- Exploring Binary On My Apple II
- Exploring Binary or Eggland's Best?
- Exploring Binary Wordle
- Exploring Binary: One Million Views
- Goodbye Google Reader Subscribers
- Google Image Matches the Imagery of Exploring Binary
- My Fascination with Binary Numbers
- My Goals for Exploring Binary in 2009
- My Plan For This Site
- The Origins of This Site
- What is RSS?

**Category:**Background math**Category:**Binary code**Category:**Binary logic**Category:**Binary numbers- "0.1 Repeating" In Binary Equals 1
- A Pattern in Powers of Ten and Their Binary Equivalents
- A Twelve Cent Binary Calendar
- Bicimals
- Binary Addition
- Binary Dates in 2010 and 2011
- Binary Division
- Binary Hopscotch
- Binary Multiplication
- Binary Numbers Haiku
- Binary Subtraction
- Converting a Bicimal to a Fraction (Direct Method)
- Converting a Bicimal to a Fraction (Series Method)
- Converting a Bicimal to a Fraction (Subtraction Method)
- Counting Binary and Hexadecimal Palindromes
- Counting Binary/Hexadecimal Palindromes
- Decimal/Binary Conversion Table
- Doing Decimal/Binary Conversions with Wolfram Alpha
- Finding Numbers That Are Palindromic In Multiple Bases
- Google is a Binary, Hex, and Octal Number Calculator
- Googling ‘Binary’ Returns Count of Results In Binary
- Hour of Code: Binary Numbers and Binary Addition
- How I Taught My Mother Binary Numbers
- How I Taught Third Graders Binary Numbers
- How to Read a Binary Clock
- In Search of Decimal/Binary/Hexadecimal Palindromes
- My Fretlight Guitar As a Binary Clock
- Nines in Binary
- Nines in Quinary
- Number of Bits in a Decimal Integer
- Number of Decimal Digits In a Binary Integer
- One Hundred Acorns in Binary
- One Hundred Cheerios in Binary
- Ratio of Bits to Decimal Digits
- The Structure of Binary/Hexadecimal Palindromes
- There Are 10 Types of People ...
- Visualizing Consecutive Binary Integers
- What a Binary Counter Looks and Sounds Like

**Category:**HowTo**Category:**Numbers in computers- 15-Digit Quick and Dirty Conversions Don’t Round-Trip
- A Better Fix for the PHP 2.2250738585072011e-308 Bug
- A Better Way to Convert Integers in David Gay's strtod()
- A Bug in the Bigcomp Function of David Gay’s strtod()
- A Closer Look at the Java 2.2250738585072012e-308 Bug
- A Simple C Program That Prints 2,098 Powers of Two
- Adjusting the Floating-Point Approximation in strtod()
- App Inventor Computes With Big Integers
- Base Conversion in PHP Using BCMath
- Base Conversion In PHP Using Built-In Functions
- Bigcomp: Deciding Truncated, Near Halfway Conversions
- Converting Floating-Point Numbers to Binary Strings in C
- Correct Decimal To Floating-Point Using Big Integers
- Correctly Rounded Conversions in GCC and GLIBC
- Decimal to Floating-Point Needs Arbitrary Precision
- Decimal/Binary Conversion of Integers in App Inventor
- Decimal/Binary Conversion Using "Deci-Binary"
- Displaying IEEE Doubles in Binary Scientific Notation
- Displaying the Raw Fields of a Floating-Point Number
- Double Rounding Errors in Floating-Point Conversions
- Fast Path Decimal to Floating-Point Conversion
- Fifteen Digits Don't Round-Trip Through SQLite Reals
- Floating-Point Error in the NPR Media Player
- Floating-Point Is So Insane Even a Ten-Year Old Can See It
- Floating-Point Questions Are Endless on stackoverflow.com
- Floating-Point Will Still Be Broken In the Year 2091
- FPUpdater Fixes the Java 2.2250738585072012e-308 Bug
- Gay's strtod() Returns Zero For Inputs Just Above 2^-1075
- GCC Avoids Double Rounding Errors With Round-To-Odd
- GCC Conversions Are Incorrect, Architecture or Otherwise
- GLIBC strtod() Incorrectly Converts 2^-1075
- Hexadecimal Floating-Point Constants
- How GCC Converts Decimal Literals to Floating-Point
- How GLIBC's strtod() Works
- How strtod() Works (and Sometimes Doesn't)
- Inconsistent Rounding of Printed Floating-Point Numbers
- Incorrect Decimal to Floating-Point Conversion In SQLite
- Incorrect Directed Conversions in David Gay's strtod()
- Incorrect Floating-Point to Decimal Conversions
- Incorrect Round-Trip Conversions in Visual C++
- Incorrectly Rounded Conversions in GCC and GLIBC
- Incorrectly Rounded Conversions in Visual C++
- Incorrectly Rounded Subnormal Conversions in Java
- Java Hangs When Converting 2.2250738585072012e-308
- Nondeterministic Floating-Point Conversions in Java
- Numbers In App Inventor Are Stored As Floating-Point
- PHP Hangs On Numeric Value 2.2250738585072011e-308
- Pi and e In Binary
- Print Precision of Dyadic Fractions Varies by Language
- Print Precision of Floating-Point Integers Varies Too
- Properties of the Correction Loop in David Gay's strtod()
- Quick and Dirty Decimal to Floating-Point Conversion
- Quick and Dirty Floating-Point to Decimal Conversion
- real.c Rounding Is Perfect (GCC Now Converts Correctly)
- strtod()’s Initial Decimal to Floating-Point Approximation
- Ten Ways to Check if an Integer Is a Power Of Two in C
- Testing Some Edge Case Conversions In App Inventor
- The Answer is One (Unless You Use Floating-Point)
- The Four Stages of Floating-Point Competence
- The Shortest Decimal String That Round-Trips: Examples
- Using Integers to Check a Floating-Point Approximation
- Visual C++ and GLIBC strtod() Ignore Rounding Mode
- What Powers of Two Look Like Inside a Computer
- When Doubles Don’t Behave Like Doubles
- When Floats Don't Behave Like Floats
- Why "Volatile" Fixes the 2.2250738585072011e-308 Bug
- Why 0.1 Does Not Exist In Floating-Point
- Why Powers of Ten Up to 10<sup>22</sup> Are Exact As Doubles

**Category:**Powers of two- 1,073,741,823 Grains of Rice
- A Standard Definition of The Powers of Two
- A Table of Negative Powers of Two
- A Table of Nonnegative Powers of Two
- Composing Powers of Two Using The Laws of Exponents
- Cycle Length of Powers of Five Mod Powers of Ten
- Cycle Length of Powers of Two Mod Powers of Ten
- Elements of Binary in the NCAA Basketball Tournament
- Ending Digits of Powers of Five Form a Binary Tree
- Exploring Binary Numbers With PARI/GP Calculator
- How the Negative Powers of Ten and Two Are Interleaved
- How the Positive Powers of Ten and Two Are Interleaved
- How to Check If a Number Is a Power of Two
- How to Find the Last Digits of a Positive Power of Two
- Nonstandard Names for The Powers of Two
- Patterns in the Last Digits of the Positive Powers of Five
- Patterns in the Last Digits of the Positive Powers of Two
- Powers Of Two In The Josephus Problem
- Seeing Powers of Five in Powers of Two and Vice Versa
- Special Case Laws of Exponents for Powers of Two
- The Powers of Two

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