Number System Converter

CSC-213 · Semester III · Computer Architecture

Number System Converter

Same value expressed in every base.

BINARY (base 2)

10101101

OCTAL (base 8)

255

DECIMAL (base 10)

173

HEXADECIMAL (base 16)

AD

Conversion steps
  1. Divide by 2 repeatedly

    173 = 10101101₂

  2. Group bits in 3s for octal

    10101101₂ → 255₈

  3. Group bits in 4s for hex

    10101101₂ → AD₁₆

  4. Decimal expansion

    (1×128)+(0×64)+(1×32)+(0×16)+(1×8)+(1×4)+(0×2)+(1×1) = 173