Binary to Decimal Converter

Binary-
Decimal-
Hex-
Octal-

How to convert binary to decimal

Each binary digit is a power of two, counted from the right starting at 20. Add up the powers where the digit is 1. For example 1101 = 8 + 4 + 0 + 1 = 13. To go from decimal to binary, divide by 2 repeatedly and read the remainders from bottom to top.

Quick reference

DecimalBinaryHexOctal

FAQ

What is 1010 in decimal?

1010 in binary is 8 + 2 = 10 in decimal.

What is 255 in binary?

255 is 11111111 in binary (eight ones), FF in hex and 377 in octal.

Why do computers use binary?

Digital circuits have two stable states, on and off, so every value is stored as a string of 0s and 1s. Hex is a compact way to write binary: each hex digit stands for exactly four bits.

See also: Roman Numeral Converter · Unix Timestamp Converter · Base64 Encoder