Free Online Binary Calculator

1. Enter two binary numbers in the two input boxes (only 0 and 1 allowed).
2. Pick the operation: +, −, ×, or ÷.
3. Read the result in binary, decimal, and hex side by side.

Binary is the native language of computers — every transistor is a base-2 switch and every integer in memory is stored as a string of bits. Doing arithmetic by hand in binary helps build intuition for bit-shift, overflow, and two's-complement representations, all of which matter when writing low-level code or debugging hardware.

This tool takes two binary numbers (digits 0 and 1 only) and one of four operations (+, −, ×, ÷) and returns the result expressed three ways: raw binary so you can verify the bit pattern, decimal to sanity-check magnitude, and hex which is the most compact representation used in memory dumps and color codes.

Division is integer (truncated). Negative results are rendered with a leading minus sign rather than encoded as two's complement, which keeps the output easy to read. Inputs are validated — anything other than 0 and 1 triggers an inline error.