What bases are supported?

You can enter operands in binary (base 2), octal (base 8), decimal (base 10), or hexadecimal (base 16). Each operand has its own base selector, so you can mix bases freely.

How does division work?

Division uses integer (floor) division — the fractional part is discarded. The remainder is shown separately below the main result. For example, 10 / 3 gives quotient 3 remainder 1.

How is NOT (bitwise complement) calculated?

NOT uses 32-bit two's complement, which matches the behavior of most programming languages for 32-bit integers. The result is shown as a signed 32-bit value and then formatted in all four bases using that signed interpretation.

What does the binary output look like?

Binary output is grouped into 4-bit nibbles separated by spaces for readability — for example, 1111 0011 instead of 11110011. Leading zeros are added to complete the last group.

Are negative numbers supported?

Negative decimal results are displayed as signed decimal. Binary, octal, and hex representations use two's complement internally for bitwise operations. For display, if the result is negative it is shown with a minus sign in decimal while the other bases show the 32-bit unsigned two's complement pattern.

How do you add binary numbers by hand?

Work from the right: 0 + 0 = 0, 1 + 0 = 1, and 1 + 1 = 10, so write 0 and carry 1. With a carry, 1 + 1 + 1 = 11, so write 1 and carry 1. Following those rules, 1011 + 110 = 10001.

What happens when a subtraction goes negative?

The decimal result shows a minus sign, and binary, octal and hex show the 32-bit two's complement pattern. 101 − 1101 is −8, which appears in binary as 1111 1111 1111 1111 1111 1111 1111 1000.

Binary Calculator

Add, subtract, multiply, divide, or apply bitwise operations to binary/hex/octal/decimal numbers.

Enter two numbers in binary, octal, decimal or hex and pick an operation.