AI & Computing

Bitwise Calculator (AND, OR, XOR, NOT)

Enter two numbers to see their bitwise AND, OR, XOR and NOT.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

A AND B
A AND B
—
A OR B
—
A XOR B
—
NOT A
—
AND, OR, XOR in hex
—

Bitwise Calculator (AND, OR, XOR, NOT) by TheCalcTools

How the Bitwise Calculator (AND, OR, XOR, NOT) works

Bitwise operators work on each binary digit separately: AND gives 1 where both bits are 1, OR where either is 1, XOR where they differ, and NOT flips every bit within the chosen width.

They are used for flags, masks, permissions, hashing and low-level networking (subnet masks are a bitwise AND).

The formula

AND: 1·1 = 1; OR: 0+0 = 0 else 1; XOR: 1 if bits differ; NOT: 2^width − 1 − A

Worked example

Using the default values shown in the calculator:

First number202
Second number57
Numbers are inDecimal
Width for NOT8-bit
  1. 202 = 11001010 and 57 = 00111001.
  2. AND = 8 (1000); OR = 251 (11111011); XOR = 243 (11110011).

Result:

A AND B8 (1000)
A OR B251 (11111011)
A XOR B243 (11110011)
NOT A53 (110101)
AND, OR, XOR in hex8, FB, F3

Frequently asked questions

How is XOR used?

XOR toggles bits and is reversible: (A XOR K) XOR K = A, which is why it appears in checksums and simple ciphers.

Sources and further reading

Number Base Converter (Binary, Octal, Decimal, Hex)Type a number in any base to see it in binary, octal, decimal and hexadecimal Binary to Decimal Converter (and Decimal to Binary)Convert between binary and decimal in either direction IPv4 Subnet CalculatorEnter an IPv4 address and prefix length to get the network, broadcast, mask and host… Two's Complement Calculator (Signed Binary)Convert a signed number to two's complement, or read a bit pattern as signed and…

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