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Binary Calculator

Convert numbers between binary, decimal, hexadecimal, and octal. Perform arithmetic operations in any number system.

Conversion Results

Binary (Base 2) 0
Octal (Base 8) 0
Decimal (Base 10) 0
Hexadecimal (Base 16) 0

How to Use the Binary Calculator

  1. Enter your number in the input field.
  2. Select the base of your input (binary, octal, decimal, or hexadecimal).
  3. Optionally select an arithmetic operation and enter a second number.
  4. Click "Calculate" to see conversions in all bases.
  5. If an operation was selected, see the result in all number systems.

Frequently Asked Questions

What is binary?

Binary is a base-2 number system using only 0 and 1. It's the fundamental language of computers, representing all data as sequences of bits. Each binary digit (bit) represents a power of 2.

What is hexadecimal used for?

Hexadecimal (base-16) is commonly used in computing to represent binary data in a more human-readable format. Each hex digit represents 4 binary digits (bits), making it useful for memory addresses, color codes, and more.

How do I convert between bases?

To convert: first convert to decimal, then from decimal to the target base. For example, to convert binary to hex, convert binary to decimal, then decimal to hex. Our calculator does this automatically for you.

Can I perform arithmetic in different bases?

Yes! Enter your numbers in their respective bases, select the operation, and the calculator will perform the calculation and show the result in all number systems. This is useful for computer science and digital electronics.

What are the valid characters for each base?

Binary: 0, 1. Octal: 0-7. Decimal: 0-9. Hexadecimal: 0-9 and A-F (or a-f). Hexadecimal letters represent values 10-15 respectively.