Add, subtract, multiply, or divide two binary numbers, with the result shown in both binary and decimal.
Binary (base-2) is the number system computers use internally, made up of only 0s and 1s. This calculator converts your binary inputs to decimal, performs the operation, and converts the result back to binary.
Each binary number is converted to decimal, the chosen arithmetic operation is applied, and the decimal result is converted back to binary.
1011 (11 in decimal) + 0110 (6 in decimal) = 17 in decimal, which is 10001 in binary.
Binary uses only 0s and 1s (base 2), so addition, subtraction, multiplication, and division follow the same logic as decimal math but carry over at 2 instead of 10.
Multiply each binary digit by 2 raised to its position power (starting at 0 from the right) and sum the results — e.g. 1011 = (1x8)+(0x4)+(1x2)+(1x1) = 11.
Computer hardware represents data using two physical states (like on/off, or high/low voltage), which maps naturally to binary's two digits.