Number Systems Calculators

Calculate binary to decimal, binary and decimal to binary and other number systems calculations.

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All Number Systems Calculators

Binary to Decimal CalculatorConvert a binary (base 2) number to decimal (base 10).Binary CalculatorConvert a number between binary and decimal, in either direction.Decimal to Binary CalculatorConvert a decimal (base 10) number to binary (base 2).Decimal to Hex CalculatorConvert a decimal (base 10) number to hexadecimal (base 16).Hex to Decimal CalculatorConvert a hexadecimal (base 16) number to decimal (base 10).Hex CalculatorConvert a number between hexadecimal and decimal, in either direction.Octal CalculatorConvert a number between octal and decimal, in either direction.

Number Systems Guides

Mathematics1 min read

How to Convert Between Binary and Decimal

Binary to decimal is place value — multiply each binary digit by its power-of-2 position and add them up; decimal to binary is repeated division by 2, reading the remainders from bottom to top.

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Mathematics1 min read

How to Convert Between Hex and Decimal

Hex to decimal is place value with powers of 16, using a-f for the digits 10-15; decimal to hex is repeated division by 16, reading the remainders — converted back to a-f where needed — from bottom to top.

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Mathematics2 min read

Why Hex Is Used as a Shorthand for Binary

One hex digit always represents exactly 4 binary digits, so converting between hex and binary is a direct grouping — no place-value arithmetic needed — which is why hex is the compact notation programmers actually read and write instead of long binary strings.

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Other Mathematics Subcategories

Basic Math17 calculatorsExplore →Arithmetic14 calculatorsExplore →Geometry8 calculatorsExplore →Trigonometry6 calculatorsExplore →