Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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Chapter B, Problem 9E

Explanation of Solution

A3A2A1A0F
00000
00011
00101
00110
01001
01010
01100
01111
10001
10010
10100
10111
11000
11011
11101
11110
  • In the above table, A0, A1, A2 and A3 represent four different inputs and F represents odd parity function.
  • In odd parity, if the function includes odd number of ones then the function has value one and if the function includes even number of ones then the function has zero value.
  • If A3=0, A2=0, A1=0 and A0=0 then F=0 because the number of 1 inputs is 0 which is an even number.
  • If A3=0, A2=0, A1=0 and A0=1 then F=1 because the number of 1 inputs is 1 which is an odd number.
  • If A3=0, A2=0, A1=1 and A0=0 then F=1 because the number of 1 inputs is 1 which is an odd number.
  • If A3=0, A2=0, A1=1 and A0=1 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=0, A2=1, A1=0 and A0=0 then F=1 because the number of 1 inputs is 1 which is an odd number.
  • If A3=0, A2=1, A1=0 and A0=1 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=0, A2=1, A1=1 and A0=0 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=0, A2=1, A1=1 and A0=1 then F=1 because the number of 1 inputs is 3 which is an odd number.
  • If A3=1, A2=0, A1=0 and A0=0 then F=1 because the number of 1 inputs is 1 which is an odd number.
  • If A3=1, A2=0, A1=0 and A0=1 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=1, A2=0, A1=1 and A0=0 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=1, A2=0, A1=1 and A0=1 then F=1 because the number of 1 inputs is 3 which is an odd number.
  • If A3=1, A2=1, A1=0 and A0=0 then F=0 because the number of 1 inputs is 2 which is an even number.
  • If A3=1, A2=1, A1=0 and A0=1 then F=1 because the number of 1 inputs is 3 which is an odd number.
  • If A3=1, A2=1, A1=1 and A0=0 then F=1 because the number of 1 inputs is 3 which is an odd number.
  • If A3=1, A2=1, A1=1 and A0=1 then F=0 because the number of 1 inputs is 4 which is an even number.

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