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Binary Decimal Converter

Convert between binary decimal octal and hex

01Number Base Converter

Number base conversion translates numbers between different positional numeral systems. Computers use binary (base 2) internally; hexadecimal (base 16) is used as a compact human-readable form of binary data; octal (base 8) appears in Unix file permissions. Understanding number bases is fundamental to computing, networking, and digital electronics.

  1. 1Binary (base 2): digits 0–1, place values 1, 2, 4, 8, 16...
  2. 2Octal (base 8): digits 0–7, place values 1, 8, 64, 512...
  3. 3Decimal (base 10): digits 0–9, place values 1, 10, 100...
  4. 4Hexadecimal (base 16): digits 0–9 and A–F (10–15)
  5. 5Convert to decimal first, then convert from decimal to target base
Binary 1010 → decimal=101×8 + 0×4 + 1×2 + 0×1 = 10
Decimal 255 → hex=FF255 = 15×16 + 15 = 0xFF
Hex 1F → decimal=311×16 + 15 = 31
DecimalBinaryOctalHex
0000
81000108
10101012A
15111117F
16100002010
25511111111377FF
256100000000400100
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