Convert hexadecimal to binary and decimal

Hexadecimal value:
Decimal:
Binary:

What is it?

Converting hexadecimal (base-16) to binary (base-2) or decimal (base-10) involves changing number representations used in computing and mathematics.

Why convert Hex to Binary or Decimal?

  • Computer Science: Hex is used in memory addressing, while binary is the machine’s native language.
  • Data Representation: Converting between bases helps in debugging and system analysis.
  • Compact Notation: Hex is a shorter way to represent long binary numbers.

How does it work?

  • Hex to Binary: Convert each hex digit into its 4-bit binary equivalent (e.g., A → 1010).
  • Hex to Decimal: Multiply each hex digit by 16n16^n 16 n (where nn n is its position from the right) and sum the results.

When to use it?

  • When analyzing machine-level code (assembly, registers).
  • For networking (IPV6) and cryptography.
  • When converting color codes (e.g., #FF5733 to binary or decimal).