What is Number Base Conversion?

Converts numbers between bases such as binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Essential in computer science, embedded systems, and debugging.

Basics

• Binary digits: 0–1
• Hex digits: 0–9 and A–F
• Conversion uses positional value: digit × base^position

Example

Convert 1011₂ to decimal: 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 11₁₀.

FAQs

Why hex?
Hex compactly represents binary; each hex digit maps to four bits.

Signed numbers?
Two’s complement represents negative integers in binary.