Bitwise Calculator

AND, OR, XOR, NOT, NAND, NOR, XNOR on decimal, hex or binary operands.

Apply AND, OR, XOR, NOT or a bit shift to integer operands.

Inputs

A
B
Operation

What it does

Applies AND, OR, XOR, NOT, NAND, NOR and XNOR bit by bit to two numbers written in decimal, hex or binary.

Where it's used

Setting, clearing and testing register bits in firmware, masks and flags.

How to use it

Type operand A (decimal, 0x hex or 0b binary).
Choose the operation.
Type operand B (not needed for NOT).
Choose the word size.

The formula explained

Set bit n: x | (1 ≪ n)
Clear bit n: x & ~(1 ≪ n)
Toggle bit n: x ^ (1 ≪ n)
Test bit n: (x ≫ n) & 1

Worked example

Inverting the bits of 0x3C by XOR with 0xFF.

Inputs:

Operand A: 0x3C
Operation: XOR
Operand B: 0xFF
Word size: 8-bit

The calculator gives:

Decimal (unsigned): 195
Decimal (signed): -61
Hexadecimal: 0xC3

Tips and common mistakes

AND with a mask keeps bits, OR sets bits, XOR flips bits.
NOT depends on the word size: ~0 is 0xFF in 8 bits but 0xFFFF in 16.
Hex makes masks easy to read: each digit is 4 bits.

Questions people ask

How do I set, clear, toggle or test one bit?

Set: x |= 1 << n. Clear: x &= ~(1 << n). Toggle: x ^= 1 << n. Test: (x >> n) & 1. These are the everyday tools for microcontroller registers.

Why does 0xC3 show as both 195 and −61?

Unsigned, 0xC3 is 195. As a signed 8-bit number the top bit means −128, so it is 195 − 256 = −61. The bits are the same; only the interpretation changes.

How do I pull a field out of a register?

Shift it down, then mask it: (x >> shift) & mask. The upper four bits of 0xC3 are (0xC3 >> 4) & 0xF = 0xC.

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