Base Converter (Binary / Hex)

Converter Inputs

Select bases and enter value to convert.

Conversion Result

The equivalent value in Base 16.

FF

Base 16

Supported Bases

Convert integers between common computing bases. Essential for computer science and digital electronics.

  • Binary (Base 2):Used by computers (0, 1)
  • Octal (Base 8):(0-7)
  • Decimal (Base 10):Standard human numbering (0-9)
  • Hexadecimal (Base 16):Compact binary representation (0-9, A-F)

Available Conversions

Binary to Octal
Binary to Decimal
Binary to Hexadecimal
Octal to Binary
Octal to Decimal
Octal to Hexadecimal
Decimal to Binary
Decimal to Octal
Decimal to Hexadecimal
Hexadecimal to Binary
Hexadecimal to Octal
Hexadecimal to Decimal

Base Converter Guide Guide

How to Use

  1. 1Enter a number in any of the four input fields (Binary, Octal, Decimal, or Hexadecimal).
  2. 2The calculator will instantly convert the value to all other bases.
  3. 3Use the copy button to copy any result to your clipboard.

Formula & Logic

Number systems represent values using different bases. Decimal (Base 10) uses digits 0-9. Binary (Base 2) uses 0-1. Hexadecimal (Base 16) uses 0-9 and A-F.

N= Decimal Value
d= Digit at position
b= Base (2, 8, 10, or 16)
n= Position exponent

Practical Applications

Computer Science

Convert memory addresses (Hex) or machine code (Binary) to readable decimal numbers.

Web Development

Translate RGB color codes (Decimal/Hex) for CSS styling.

Digital Electronics

Understand logic gates and digital signals which operate in binary states (On/Off).

Frequently Asked Questions

Q.What is Hexadecimal?

Hexadecimal (Base 16) is a number system that uses 16 distinct symbols: 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen.

Q.Why do computers use Binary?

Computers use binary because their hardware is based on transistors, which have two distinct states: on (conducting current) and off (not conducting), representing 1 and 0.

Q.How do I convert Binary to Decimal?

Multiply each bit by 2 raised to the power of its position (starting from 0 on the right) and sum the results.