Binary is the base-2 number system using only digits 0 and 1. It's the fundamental language of computers. Each digit is called a 'bit'. For example, binary 101010 = decimal 42.

How do I convert decimal to binary?

Repeatedly divide by 2 and track remainders. For 42: 42÷2=21 r0, 21÷2=10 r1, 10÷2=5 r0, 5÷2=2 r1, 2÷2=1 r0, 1÷2=0 r1. Read remainders bottom-up: 101010.

What is octal used for?

Octal (base 8) is a shorthand for binary in computing. Each octal digit represents exactly 3 binary bits. It's used in file permissions (Unix/Linux) and older computer systems.

Biggest Calculator Hub

Math & StatisticsVerifiedFeb 2026

Binary Converter

Name: Binary Converter
Author: Biggest Calculator Hub

Convert between binary (base 2), decimal (base 10), and octal (base 8) number systems. Perfect for computer science and programming.

binary-converter.calculatorready

How to Use the Binary Converter

This free binary converter helps you quickly calculate decimal. Simply enter your values in the fields above and click "Calculate" to see your results instantly.

Understanding Your Results

After entering your information, the calculator will display your results including decimal, binary, octal, binary bits. Each result is calculated using standard formulas used by financial professionals and experts in the field.