Decimal to Binary Converter

Convert any Decimal number to Binary Number Calculator

User Guide

  1. Input Section:
    • Enter the decimal number in the text area labeled "Decimal Numbers".
    • Use the "Clear" button beneath the input field to erase your entry if needed.
  2. Output Section:
    • The converted binary number will be displayed in the output area.
    • Use the "Copy" button below the output area to copy the binary result to your clipboard.

Decimal (base-10) is the standard numerical system used in everyday life. Binary (base-2) is a number system consisting of only 0s and 1s, commonly used in computer systems for data representation and processing.

Conversion Method

Steps to Convert

  1. Divide the decimal number by 2.
  2. Record the remainder (0 or 1). This represents the least significant bit (LSB).
  3. Divide the quotient by 2 and repeat until the quotient is 0.
  4. Write the remainders in reverse order (from last to first) to get the binary equivalent.

Example

Convert 2510 (decimal) to binary:

Equation Result Remainder
25÷2 12 1
12÷2 6 0
6÷2 3 0
3÷2 1 1
1÷2 0 1

Write the remainders in reverse order: 11001
Result: 2510 = 110012 ​= 110012

Prof. Waino Pagac
Prof. Waino Pagac
Ph.D. MIT

Professor Waino Pagac, an esteemed expert in computer science and mathematics, and the brilliant mind behind this comprehensive guide on number systems. With a wealth of knowledge and years of experience in academia and research.