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Bitwise Calculator

Calculate AND, OR, XOR, NOT and bit shifts with a live binary view of every operand and the result. Enter numbers in decimal, hex, octal or binary and see each bit line up as you type.

Everything runs locally in your browser. Your data never leaves your device.

Operation

Operator
Bit width
Interpretation

AND keeps a bit set only where it is set in both A and B.

Operands

dec
dec

Prefixes pick the base automatically: 0x for hex, 0b for binary, 0o for octal, plain digits for decimal. Underscores and spaces between digits are ignored.

Binary view

A
12
& B
10
=
0
0
0
0
1
0
0
0
8

Bit 0 is on the right. Click any operand bit to flip it.

Result

12 & 10 = 8

Decimal
8
Hex
08
Binary1 set
0000 1000
Octal
010

Next steps

Keep going. These tools open with your result loaded in.

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About the Bitwise Calculator Tool

This tool calculates bitwise AND, OR, XOR, NOT and bit shifts, and shows every bit while you work. Enter the operands in decimal, hex, binary or octal, pick a bit width from 8 to 64 bits and read the result in all four notations at once.

The binary view lines operand A, operand B and the result up column by column, so you can see exactly which bits combined into each result bit. Every operand bit is clickable, and flipping one updates the numbers right away.

What you can do

  • Calculate a bitwise AND, OR or XOR of two numbers.
  • Invert a number's bits with NOT at a chosen width.
  • Shift a number left or right by any count.
  • Mix bases freely, like ANDing 0xff with 0b1010.
  • Work in 8, 16, 32 or 64 bits, signed or unsigned.
  • Build a bitmask by clicking bits on and off.
  • Copy the result as decimal, hex, binary or octal.

How to use the Bitwise Calculator

  1. 1Pick the operator, the bit width and whether values read as signed or unsigned.
  2. 2Type the operands. Prefixes like 0x and 0b set the base automatically, or pin one with the base picker.
  3. 3Follow each bit column in the binary view and read the result in all four notations below.
  4. 4Chain calculations by clicking "Use result as operand A".

Fixed widths and truncation

Every calculation runs at the width you pick, exactly like a C integer type such as uint8_t or int64_t. A value that does not fit is truncated to its low bits and the tool tells you so, instead of quietly computing with a number you never entered. The same goes for shifts: set bits pushed past the top of the width are reported as lost.

Signed values and right shifts

In signed mode the leftmost bit is the sign bit, so the pattern 11111111 reads as -1 in 8 bits, and the binary view outlines that bit. The mode also decides how right shifts fill: unsigned values get a logical shift with zeros coming in from the left, signed values get an arithmetic shift that copies the sign bit, matching >> in most languages.

The math runs on big integers internally, so 64-bit patterns stay exact where a plain JavaScript number would round. For base conversion without an operator, the Number Base Converter handles numbers of any size.

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