Binary Calculator

Convert between binary and decimal integers.

Binary Calculator helps you convert between binary and decimal integers. Enter value, review the breakdown, and use the guidance below to understand what the number means — and what it does not. What the Binary calculator does Binary Calculator is built for arithmetic, algebra, geometry, and number tools. Convert between binary and decimal integers. You enter value, then Simple Calculators computes the result instantly. Results use standard school and engineering formulas that run privately in your browser. How the math works Pick a direction under Convert, then type a Binary number or a Whole number. Each binary place is worth twice the place to its right (1, 2, 4, 8, 16…), so the calculator adds up the place values wherever there is a 1. Going the other way, it splits your number into those powers of 2. It also shows the hex and octal versions, the number of bits and bytes. Only whole numbers from 0 up to 9,007,199,254,740,991 (53 binary digits) are accepted. The formula: Decimal = sum of (digit × 2^position), counting positions from 0 on the right. Binary digits are 0 or 1. Each place is worth twice the place to its right.