What are bitwise operations?

Bitwise operations work on individual bits of binary numbers. AND, OR, and XOR compare corresponding bits of two numbers.

Where are bitwise operations used?

In programming for flags/permissions, network subnet masks, graphics, encryption, and low-level hardware communication.

XOR (exclusive or) returns 1 when the bits are different and 0 when they are the same. It is used in encryption and error detection.

Binary Arithmetic Calculator

Perform arithmetic with two decimal numbers and see the results. Also shows bitwise AND and OR operations.

Save

Number A

Number B

Sum Val

Diff Val27

And Val10

Or Val47

Xor Val37

View formula & how it works →

Binary Arithmetic

Bitwise Operations

AND: both bits must be 1 → result is 1

OR: at least one bit must be 1 → result is 1

XOR: exactly one bit must be 1 → result is 1

Example: 42 AND 15

42 in binary: 101010

15 in binary: 001111

AND result: 001010 = 10

Bitwise operations work on individual bits of the binary representation.

Example Calculation

Binary operations on 42 and 15.

0142 + 15 = 57
0242 - 15 = 27
0342 AND 15: 101010 AND 001111 = 001010 = 10
0442 OR 15: 101010 OR 001111 = 101111 = 47
0542 XOR 15: 101010 XOR 001111 = 100101 = 37

Frequently Asked Questions

Learn More

How to Calculate Percentages - Complete Guide

Learn how to calculate percentages step by step. Covers finding a percentage of a number, percentage change, reverse percentages, and real-world applications.

Binary Arithmetic Calculator

Binary Arithmetic

Bitwise Operations

Example: 42 AND 15

Example Calculation

Frequently Asked Questions

How to Calculate Percentages - Complete Guide

Related Calculators

Hex Calculator

Modular Arithmetic Calculator

Exponent Calculator