Radix Complement Arithmetic (4)

• Example: (9)10 - (14)10 = ?
  • Perform (9)10 + (-(14)10)
  • (9)10 = +(1001)2 = (0, 1001)2cns
  • -(14)10 = -(1110)2 = (1, 0010)2cns
  • (9)10 - (14)10 = (0, 1001)2cns + (1, 0010)2cns = (1, 1011)2cns
    = -(0101)2 = -(5)10
    
  • Example: (0, 0100)2cns - (1, 0110)2cns = ?
    • Perform (0, 0100)2cns + (- (1, 0110)2cns)
    • - (1, 0110)2cns = two’s complement of (1,0110)2cns
      = (0, 1010)2cns
    • (0, 0100)2cns - (1, 0110)2cns = (0, 0100)2cns + (0, 1010)2cns
      = (0, 1110)2cns = +(1110)2 = +(14)10
    • +(4)10 - (-(10)10) = +(14)10

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