The Art of Binary Numbers

See how computers translate everyday numbers into binary — the language of 0s and 1s.

Binary numbers are the foundation of digital computing. This video explores how any whole number can be converted into binary using a simple and elegant method: repeated division by 2 and collecting remainders.

How Decimal to Binary Conversion Works

To convert a decimal number into binary, follow these steps:

  • Divide the number by 2.
  • Record the remainder (0 or 1).
  • Divide the result again by 2, and repeat.
  • Continue until the quotient is 0.
  • Read the binary digits from bottom to top.

Example: Convert 13 (decimal) to binary

13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1

Binary: 1101

Why This Matters

  • Digital Foundations: All computers store and process data using binary.
  • Logic & Simplicity: Binary enables efficient design of hardware and software.
  • Universal Language: Binary powers everything from microchips to cloud servers.