justyourcalculatorBinary Calculator
Binary arithmetic and conversions, with the working shown for each answer.
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Binary Calculator
Binary math and binary to decimal conversion
Digits 0 and 1 only.
10110 + 1011 in binary
100001
= 33 in decimal
- Result (binary)
- 100001
- Result (decimal)
- 33
- Result (hex)
- 21
- Result (octal)
- 41
How it was calculated
- 10110₂ = 22 in decimal
- 1011₂ = 11 in decimal
- 22 + 11 = 33
- 33 in binary = 100001₂
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How the binary calculator works
Binary (base 2) uses only the digits 0 and 1. Each position is worth twice the one to its right: 1, 2, 4, 8, 16 and so on. So 10110 = 16 + 4 + 2 = 22.
To convert decimal to binary, divide by 2 again and again and write down the remainders; reading them from bottom to top gives the binary number. Arithmetic works like in decimal, except you carry when a column reaches 2.
Division returns a whole-number quotient and a remainder. AND, OR and XOR compare the numbers bit by bit. Numbers of any length work exactly.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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