Binary Calculator

Convert between decimal and binary, or do arithmetic directly on binary numbers.

Equation used
Decimal → binary: repeated division by 2, reading remainders bottom-up. Binary → decimal: Σ digit × 2^n

Frequently Asked Questions

Why can I only enter 0s and 1s in the binary field?

Binary numbers only use the digits 0 and 1, so the input strips out any other character as you type to keep the value valid for conversion or arithmetic.

What does the Arithmetic mode actually do?

It converts both binary inputs to decimal, applies the chosen operation (+, −, ×), and converts the result back to binary — the decimal equivalent is also shown underneath for reference.

What's shown in "Same value in other bases"?

Once you convert a number, the calculator also displays that same value in octal, decimal, and hexadecimal, so you can see how one quantity looks across the common number bases.

See it in action: interactive simulations