Simplify Your Workflow: Search MiniWebtool.
Add Extension
Home Page > Math > Number System Converters > Binary Converter

Binary Converter

Convert binary numbers to decimal, hexadecimal, octal, and any base (2-36). Get instant results with visual bit diagrams, step-by-step explanations, and grouped formatting for easy reading.

Binary Converter

Quick Examples:

11010110 = 214 (D6) 10101010 = 170 (AA) 11111111 = 255 (FF) 100000000 = 256 (100)
BIN
Use only 0 and 1. Maximum 128 digits supported.

Embed Binary Converter Widget

About Binary Converter

Welcome to the Binary Converter, a powerful free online tool that converts binary numbers to decimal, hexadecimal, octal, and any numeral base from 2 to 36. This tool provides instant results with visual bit diagrams, step-by-step conversion explanations, and grouped formatting for easy reading.

What is a Binary Number System?

Binary is a base-2 numeral system that uses only two digits: 0 and 1. It is the fundamental language of computers and digital electronics. Each binary digit (called a "bit") represents a power of 2, and computers use binary because electronic circuits can easily represent two states: on (1) and off (0).

Key Concept: In binary, each position represents a power of 2, starting from 20 = 1 on the right. For example, the binary number 1011 represents: 1ร—23 + 0ร—22 + 1ร—21 + 1ร—20 = 8 + 0 + 2 + 1 = 11 in decimal.

Common Number Systems Comparison

Binary (2)Decimal (10)Hex (16)Octal (8)
0000000
0001111
0010222
0011333
0100444
0101555
0110666
0111777
10008810
10019911
101010A12
101111B13
110012C14
110113D15
111014E16
111115F17

How to Convert Binary to Decimal

  1. Enter binary number: Type your binary number using only digits 0 and 1. You can enter up to 128 digits.
  2. Click Convert: Click the Convert button to process your binary number and see results in multiple bases.
  3. View primary results: See your binary number converted to decimal, hexadecimal, and octal with grouped formatting for easy reading.
  4. Explore visual diagram: View the visual bit diagram showing each nibble (4 bits) with its corresponding hex and decimal value.
  5. Learn from step-by-step explanation: Understand the conversion process through detailed step-by-step breakdown showing how each bit contributes to the final value.

Binary to Hexadecimal Conversion

Converting binary to hexadecimal is straightforward because 16 is a power of 2 (16 = 24). Each hexadecimal digit corresponds to exactly 4 binary bits (a nibble):

Quick Method: Group binary digits into sets of 4 from right to left, padding with leading zeros if needed. Then convert each group to its hex equivalent. For example: 11010110 โ†’ 1101 0110 โ†’ D6

Why Hexadecimal is Popular

Frequently Asked Questions

What is a binary number system?

Binary is a base-2 numeral system that uses only two digits: 0 and 1. It is the fundamental language of computers and digital electronics. Each binary digit (bit) represents a power of 2, and computers use binary because electronic circuits can easily represent two states: on (1) and off (0).

How do I convert binary to decimal?

To convert binary to decimal, multiply each binary digit by 2 raised to the power of its position (starting from 0 on the right), then sum all values. For example, 1011 in binary = 1ร—23 + 0ร—22 + 1ร—21 + 1ร—20 = 8 + 0 + 2 + 1 = 11 in decimal.

How do I convert binary to hexadecimal?

To convert binary to hexadecimal, group the binary digits into sets of 4 bits (nibbles) from right to left, padding with zeros if needed. Then convert each group to its hex equivalent (0-9 or A-F). For example, 11010110 becomes D6: 1101=D and 0110=6.

What is the relationship between binary and hex?

Hexadecimal and binary have a direct relationship because 16 is a power of 2 (16 = 24). Each hex digit represents exactly 4 binary bits. This makes hex a convenient shorthand for binary: instead of writing 16 binary digits, you can write just 4 hex digits. This is why programmers often use hex for memory addresses and color codes.

What is the maximum binary number this converter supports?

This converter supports binary numbers up to 128 digits long, which can represent extremely large values (up to 2128). This covers virtually all practical use cases including 64-bit integers, cryptographic values, and very large numbers.

Related Resources

Reference this content, page, or tool as:

"Binary Converter" at https://MiniWebtool.com/binary-converter/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Jan 10, 2026

You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer.

Related MiniWebtools:

Binary to Decimal Converter
Binary to Hex Converter
Decimal to Binary Converter

Number System Converters:

Top & Updated:

Random PickerRandom Name PickerRelative Standard Deviation CalculatorFPS ConverterMAC Address GeneratorSort NumbersBitwise CalculatorFeet and Inches to Cm ConverterMAC Address LookupLine CounterRemove SpacesWord to Phone Number ConverterBatting Average CalculatorPercent Off CalculatorSum CalculatorRandom Quote GeneratorFacebook User ID LookupNumber of Digits CalculatorAI ParaphraserLog Base 10 CalculatorRoman Numerals ConverterSHA256 Hash GeneratorDecimal to BCD ConverterBinary to Gray Code ConverterPhone Number ExtractorSun, Moon & Rising Sign Calculator ๐ŸŒž๐ŸŒ™โœจERA CalculatorMP3 LooperSaturn Return CalculatorVideo to Image ExtractorSquare Root (โˆš) CalculatorSalary Conversion CalculatorBCD to Decimal ConverterOn Base Percentage CalculatorCm to Feet and Inches ConverterRemove AccentQuotient and Remainder CalculatorRemove Audio from VideoCompound Growth CalculatorOutlier CalculatorFirst n Digits of PiGray Code to Binary ConverterTime Duration CalculatorAI Punctuation AdderNumber to Word ConverterDay of Year CalendarDay of the Year Calculator - What Day of the Year Is It Today?Slugging Percentage CalculatorRemove Lines Containing...Modulo CalculatorRandom Birthday GeneratorBinary to BCD ConverterMerge VideosWAR CalculatorAudio SplitterLove Compatibility CalculatorList of Prime NumbersCompare Two StringsIP Address to Hex ConverterPercent Growth Rate CalculatorMaster Number CalculatorFirst n Digits of eScientific Notation to Decimal ConverterStandard Error CalculatorText FormatterAverage Deviation CalculatorRandom Group GeneratorOne Rep Max (1RM) CalculatorRatio to Percentage CalculatorURL ExtractorOPS CalculatorLeap Years ListConvolution CalculatorCube Numbers ListHex to BCD ConverterPercentage Increase Calculator๐Ÿ“… Date CalculatorMAC Address AnalyzerBCD to Binary ConverterSHA512 Hash GeneratorVideo SplitterMedian CalculatorNatural Log CalculatorProportion CalculatorAdd or Replace Audio in VideoVideo CompressorLoop VideoRemove Leading Trailing SpacesAdjust Video SpeedReverse VideoHypotenuse CalculatorPVIF CalculatorWhat is my Lucky Number?Bonus CalculatorExponential Decay CalculatorPER CalculatorRandom Object GeneratorVideo CropperAntilog CalculatorNumber ExtractorOctal CalculatorEmail ExtractorAdd Prefix and Suffix to TextWHIP CalculatorSort Lines AlphabeticallyLottery Number GeneratorBCD to Hex ConverterList RandomizerBreak Line by CharactersAverage CalculatorPVIFA CalculatorActual Cash Value CalculatorAngel Number CalculatorLog Base 2 CalculatorRoot Mean Square CalculatorSum of Positive Integers CalculatorSHA3-256 Hash GeneratorAI Sentence ExpanderLbs to Kg ConverterHex to Decimal ConverterRandom String GeneratorAmortization CalculatorMarkup CalculatorName Number CalculatorDecimal to Hex ConverterList of Fibonacci NumbersRandom Number PickerBlood Donation Time CalculatorField Goal Percentage CalculatorRandom Line PickerAPY to APR CalculatorSort Text By LengthName RandomizerRandom Animal GeneratorSquare Numbers ListFixed Deposit CalculatorPPM to Percent ConverterCaesar Cipher ToolMorse Code GeneratorPercent to PPM ConverterSRT to TXT Converterkg to lbs ConverterXML ValidatorArithmetic Mean CalculatorBoard Foot Calculator ๐ŸชตSquareness Checker (3-4-5 Rule) ๐Ÿ“Miter Angle Calculator ๐Ÿ“Slope and Grade Calculator ๐Ÿ“Sine CalculatorCosine CalculatorHigh-Precision Tangent CalculatorArcsin CalculatorArccos (Inverse Cosine) CalculatorArctan CalculatorArctan2 CalculatorCosecant/Secant/Cotangent CalculatorHyperbolic Functions CalculatorRight Triangle CalculatorGeneral Triangle SolverLaw of Sines CalculatorLaw of Cosines CalculatorDMS to Decimal Degrees ConverterDecimal Degrees to DMS ConverterPolar to Cartesian ConverterHigh-Precision Cartesian to Polar Coordinates ConverterInteractive Unit Circle VisualizerTrigonometric Identities CalculatorTrigonometric Function GrapherAlgebraic Expression SimplifierRadical SimplifierRational Expression CalculatorPolynomial Factoring CalculatorExpand Polynomials CalculatorPolynomial Long Division CalculatorSynthetic Division CalculatorLinear Equation SolverAbsolute Value Equation SolverRadical Equation SolverSystem of Linear Equations SolverInequality SolverAbsolute Value Inequality SolverSystem of Inequalities GrapherFunction GrapherDomain and Range CalculatorInverse Function CalculatorFunction Composition CalculatorVertex and Axis of Symmetry CalculatorX and Y Intercept CalculatorHTML Entity Encoder/DecoderURL Slug GeneratorJSON String Escape/UnescapeMarkdown Table GeneratorSmart Quotes RemoverDaily Time Savings CalculatorLorem Ipsum GeneratorReadability Score CalculatorKeyword Density CheckerBionic Reading ConverterText to Speech ReaderFancy Text GeneratorZalgo Text GeneratorUpside Down Text GeneratorInvisible Text GeneratorASCII Art GeneratorList Difference CalculatorText Column ExtractorText to SQL List ConverterInvisible Character RemoverStock Average CalculatorPosition Size CalculatorMargin Call CalculatorShort Selling Profit CalculatorRisk of Ruin CalculatorBlack-Scholes Option Pricing CalculatorOption Greeks CalculatorImplied Volatility CalculatorOptions Profit CalculatorImpermanent Loss CalculatorCrypto Arbitrage CalculatorSatoshi to USD ConverterCrypto Leverage CalculatorPivot Point CalculatorFibonacci Extension CalculatorStop Loss & Take Profit CalculatorKelly Criterion CalculatorMartingale Strategy CalculatorCompound Daily Interest CalculatorPip Value CalculatorGaussian Distribution GeneratorRandom Tournament Bracket GeneratorRandom Meal GeneratorRandom Emoji GeneratorRandom Truth or Dare GeneratorRandom Color Palette GeneratorRandom Country GeneratorRandom JSON Generator