Binary arithmetic follows the same rules as decimal, but with only 0 and 1. Addition: 0+0=0, 0+1=1, 1+1=10 (carry 1). Subtraction uses borrowing or two's complement. Multiplication is repeated shifting and adding. Division is repeated shifting and subtracting.
How to Use
Enter two binary numbers:
- Numbers: Binary (0s and 1s)
- Operation: +, −, ×, ÷
- Result: Binary with decimal
Binary Rules
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 1 = 10 (carry 1)
- 1 + 1 + 1 = 11 (carry 1)
Two's Complement
For negative numbers: invert all bits and add 1. −5 in 8-bit: 00000101 → 11111010 → 11111011. This makes subtraction = addition of negative.
Step-by-Step Instructions
- 1Enter first binary number.
- 2Enter second binary number.
- 3Select operation.
- 4View binary result.
- 5Check decimal verification.