Binary Calculator
Perform arithmetic on binary numbers the way computers do, or convert binary values to decimal and vice versa. The step table shows every operand and result simultaneously in base 2, 8, 10 and 16, and invalid digits are caught before any math runs.
TheCalculators — Binary Calculator
Printed thecalculators.com
10101010 + 11001100 (base 2)
101110110
Decimal: 374 · Addition in Binary (base 2)
- Base
- Binary (base 2)
- First value (A)
- 10101010
- Second value (B)
- 11001100
- Operation
- + Addition
- Result (base 2)
- 101110110
- Result (decimal)
- 374
- A in decimal
- 170
- B in decimal
- 204
- GCD(A, B)
- 34
Conversion table (all bases)
How the result was computed
- 1Validate digitsBinary (base 2) accepts digits 0–1. "10101010" and "11001100" both pass.
- 2Convert to decimalA = 10101010₁2 → 170; B = 11001100 → 204
- 3Apply addition170 + 204 = 374
- 4Convert result back374 in base 2 → 101110110
Most useful next
Formula
Result = (A)base op (B)base, converted via base-10 arithmetic
Pro tips
- • Each binary digit is a bit — 8 bits make a byte, so 11001100 is one byte (204 in decimal).
- • Switch the base selector to convert a single value: the table shows it in all four bases at once.
- • Division only produces base-2 output when the quotient is a whole number.
FAQ
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