Between Binary, Octal,and Hexadecimal

• Bases 2, 8, and 16 are easily related

• Binary: Consider a two-byte value:

  10110100 11000110
  

• Octal: group/ungroup by 8’s (3 bits)

  1 011 010 011 000 110
  
  1 3 2 3 0 6
  => 132306 base 8

• Hex: group/ungroup by 16’s (4 bits)

  1011 0100 1100 0110
  
  B 4 C 6
  => B4C6 base 16

• 1323068 = B4C616 = 46,27810