Calculator

Professional calculation tool

Binary Calculator

Perform binary arithmetic and bitwise operations

First Binary Number

Operation

Second Binary Number

Binary System: Base-2 number system using only 0s and 1s

Bit: Single binary digit (0 or 1)

Byte: 8 bits (e.g., 10101010)

Conversion: Each position represents a power of 2

Addition: 0+0=0, 0+1=1, 1+0=1, 1+1=10

Subtraction: 0-0=0, 1-0=1, 1-1=0, 10-1=1

Multiplication: 0×0=0, 0×1=0, 1×0=0, 1×1=1

Division: Similar to decimal division

AND (&): 1 if both bits are 1, else 0

OR (|): 1 if either bit is 1, else 0

XOR (^): 1 if bits differ, else 0

NOT (~): Inverts all bits

1010 + 1100 = 10110 (10 + 12 = 22)

1010 & 1100 = 1000 (10 AND 12 = 8)

1010 | 1100 = 1110 (10 OR 12 = 14)

1010 ^ 1100 = 0110 (10 XOR 12 = 6)

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