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Binary Calculator

Perform arithmetic on binary numbers and convert between binary, decimal, octal, and hexadecimal. An essential tool for programmers and computer science students.

Used 54.4K times today

How to Use Binary Calculator

  1. 1

    Enter binary numbers

    Type your binary values (using only 0s and 1s) into the input fields. The calculator validates input automatically.

  2. 2

    Choose an operation

    Select addition, subtraction, multiplication, or division to perform on the two binary operands.

  3. 3

    View results in multiple bases

    The result is displayed in binary, decimal, octal, and hexadecimal simultaneously for easy cross-reference.

Frequently Asked Questions

What is binary arithmetic?
Binary arithmetic follows the same rules as decimal arithmetic but uses only two digits — 0 and 1 — operating in base 2. Computers use binary internally for all calculations.
How do I convert a decimal number to binary?
Divide the decimal number repeatedly by 2, recording the remainder each time. Read the remainders from bottom to top to get the binary representation.
Can I use this tool for bitwise operations?
The calculator focuses on arithmetic (add, subtract, multiply, divide). For bitwise AND, OR, XOR, and NOT, use the Hex Calculator which supports those operations.

About Binary Calculator

The Binary Calculator on Utilko is the go-to tool for anyone studying computer science, digital electronics, or low-level programming. Enter two binary numbers, choose an arithmetic operation, and instantly see the result in binary along with automatic conversions to decimal, octal, and hexadecimal — no manual conversion needed.

Understanding binary arithmetic is fundamental to grasping how computers process data, perform memory addressing, and execute logic operations. This tool simplifies that learning by showing each step clearly and presenting results across all common number bases side by side.

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