Binary Calculator

This calculator has two tools: a base converter and a binary arithmetic calculator.

Base Converter: Click the tab for the base you are starting from (Decimal, Binary, Hex, or Octal), type your number, and all other representations appear instantly.

Binary Arithmetic: Enter two binary numbers (using only 0s and 1s), select an operation, and see the result in both binary and decimal. NOT, Left Shift, and Right Shift only use the first number.

AND:   1 AND 1 = 1, anything AND 0 = 0
OR:    0 OR 0 = 0, anything OR 1 = 1
XOR:   same bits = 0, different bits = 1
NOT:   flips all bits (0→1, 1→0)
Left Shift:  multiply by 2 (append 0 on right)
Right Shift: integer divide by 2 (remove last bit)

Example: 1010 (10) AND 0110 (6)
  1010
& 0110
------
  0010  = 2 decimal

Binary addition:
  0 + 0 = 0
  0 + 1 = 1
  1 + 1 = 10 (carry the 1)
  1 + 1 + 1 = 11