Skip to content

Binary Calculator

Binary arithmetic, bitwise operations and two's complement.

Binary arithmetic

—

Bitwise operations

—

Two's complement

How computers store negative integers: invert every bit, then add one.

Quick Tool Overview

The Binary Calculator does arithmetic directly in binary — addition, subtraction, multiplication and division — with the decimal equivalent beside every operand and result. A bitwise panel covers AND, OR, XOR, NOT and shifts, and two's complement is handled explicitly.

What it does
Performs binary arithmetic and bitwise operations
You give it
Binary numbers and an operation
You get back
The binary result with its decimal value and bit pattern
Best for
Computer science study, embedded work and bit manipulation
Calculators Free, unlimited use No sign-up Runs in your browser

About the Binary Calculator

Do arithmetic directly in binary — addition, subtraction, multiplication and division — with the decimal equivalent shown alongside every operand and result so you can check the work.

A bitwise panel covers the operations that matter in programming: AND, OR, XOR, NOT and left and right shifts, with the bit pattern displayed for both inputs and the output. Two's complement is handled explicitly, which is how computers actually represent negative integers: invert every bit and add one. Seeing the bits line up makes it obvious why shifting left doubles a number and shifting right halves it.

Key features of the Binary Calculator

Arithmetic in binary

Add, subtract, multiply and divide without converting to decimal and back first.

Decimal shown throughout

Every operand and result carries its decimal equivalent so you can check the work.

Full bitwise set

AND, OR, XOR, NOT and left and right shifts, with the bit pattern displayed for both inputs and the output.

Two's complement made explicit

Invert every bit and add one — how computers actually represent negative integers, shown step by step.

Shifts made obvious

Seeing the bits line up makes it clear why shifting left doubles a number and shifting right halves it.

How to use the Binary Calculator

  1. 1

    Enter binary numbers

    Type using only 0 and 1. The decimal equivalent is shown as you type so you can confirm the value.

  2. 2

    Choose an operation

    Pick an arithmetic operation, or switch to the bitwise panel for AND, OR, XOR, NOT and shifts.

  3. 3

    Read the bit pattern

    Results are shown in binary, decimal and hexadecimal, with the bits aligned for comparison.

Frequently asked questions

Column by column, carrying when the sum reaches two. 1 plus 1 is 0 carry 1, so binary 1011 plus 1101 gives 11000, which is 11 plus 13 equals 24 in decimal.

Reviews of the Binary Calculator

What people who use the Binary Calculator think of it. Reviews come from visitors and are posted as written.

No ratings yet

Yours would be the first.

  • 5 0 reviews rated 5 stars
  • 4 0 reviews rated 4 stars
  • 3 0 reviews rated 3 stars
  • 2 0 reviews rated 2 stars
  • 1 0 reviews rated 1 star

Write a review

Used this tool? Your rating helps the next person decide.

Your rating

Plain text only — links, email addresses and HTML are not accepted. Your name and review are shown publicly; nothing else is collected. See the privacy policy.

0 reviews

Newest first

No reviews yet

Be the first to rate the Binary Calculator. It takes half a minute and no account.

Write the first review

More calculators