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Binary Calculator

Binary arithmetic calculator with step-by-step workings

Updated Mar 2026100% Private — runs in browser

Binary Calculator

Arithmetic, bitwise operations, base conversion and ASCII encoding

Binary (Base 2)0b11001010
Decimal (Base 10)202
Hexadecimal (Base 16)0xCA
Octal (Base 8)0o312

Bit Representations

8-bit1100 1010
16-bit0000 0000 1100 1010
32-bit0000 0000 0000 0000 0000 0000 1100 1010

How to Use Binary Calculator

  1. 1

    Select a tab: Converter, Arithmetic, Bitwise, or ASCII.

  2. 2

    In the Converter tab, type a number and choose its base (BIN/DEC/HEX/OCT) to see all representations instantly.

  3. 3

    In the Arithmetic tab, enter two binary or decimal values and choose an operation (+, -, ×, ÷, MOD).

  4. 4

    View the step-by-step carry/borrow working for addition and subtraction.

  5. 5

    Switch to the Bitwise tab to perform AND, OR, XOR, NOT, NAND, NOR, or shift operations.

  6. 6

    Read the bit-by-bit truth table that appears below bitwise results.

  7. 7

    Use the ASCII tab to convert binary strings to text or encode text into binary bytes.

  8. 8

    Expand the Reference Tables at the bottom to review 4-bit values, powers of 2, and truth tables.

About Binary Calculator

Free online binary calculator — convert between binary, decimal, hexadecimal, and octal number systems. Perform arithmetic operations on binary numbers and see step-by-step conversions.

Key Features

  • 4 Number Systems: Convert between Binary, Decimal, Hexadecimal, and Octal instantly.
  • Arithmetic Operations: Add, subtract, multiply, and divide in any number system.
  • Bit Visualization: See the binary bit pattern with color-coded groups of 4.
  • Step-by-Step: Understand conversions with detailed breakdown of the process.
  • Quick Presets: Common values like 8-bit max (255), 16-bit max (65535), and powers of 2.

Who Is This For?

Computer science students learning number systems, developers debugging binary data, embedded engineers working with registers, and anyone who needs quick base conversions.

Privacy & Security

Runs 100% in your browser — no signup, no uploads, no data stored.

Frequently Asked Questions about Binary Calculator

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