Base Converter

Convert between number bases (binary, octal, decimal, hex) and perform arithmetic in different bases

Overview

The Base Converter translates numbers between different bases including binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and any custom base from 2 to 36. See instant conversions across all bases and follow step-by-step explanations of how each conversion works.

Tips

  1. Use conversion shortcuts: Group binary digits in sets of 4 for hexadecimal (1111₂ = F₁₆) or sets of 3 for octal (111₂ = 7₈) for quick mental conversions.

  2. Memorize common values: Learn key numbers like 255₁₀ = FF₁₆ = 11111111₂ (one byte), 256₁₀ = 100₁₆, and powers of 2 up to 2¹⁶ (65536) for faster recognition.

  3. Convert through decimal: When converting between non-decimal bases (like octal to hex), go through decimal as an intermediate step for accuracy.

  4. Understand position values: Each digit position represents the base raised to that power - the rightmost position is base⁰, next is base¹, then base², and so on.

  5. Check with hex colors: Practice hex by analyzing web color codes like #FF5733 where FF=255 (red), 57=87 (green), and 33=51 (blue) to build intuition.