Diminished Radix Complement Number systems (1)

• Diminished radix complement [N]r-1 of a number (N)r is:

  [N]r-1 = rn - (N)r - 1 (1.10)
  
  

• One’s complement (r = 2):

  [N]2-1 = 2n - (N)2 - 1 (1.11)
  
  

• Example: One’s complement of (01100101)2

  [N]2-1 = 28 - (01100101)2 - 1
  
  = (100000000)2 - (01100101)2 - (00000001)2
  = (10011011)2 - (00000001)2
  = (10011010)2
  

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