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Homework Help: Digital design code converter help

  1. Nov 4, 2014 #1
    1. The problem statement, all variables and given/known data
    design a code converter that converts a decimal digit from the 8 4 -2 -1 code to BCD.

    2. Relevant equations

    3. The attempt at a solution
    so i listed out the BCD order from 0 to 9 and listed the weighted 8 4 -2 -1 code so that the weights would equal to the BCD equivalent.
    8 4 -2 -1--->BCD
    ABCD---> WXYZ
    0000---> 0000
    0111---> 0001
    0110---> 0010
    0101---> 0011

    0100---> 0100
    1011---> 0101
    1010---> 0110
    1001---> 0111

    1000---> 1000
    1111----> 1001
    I then drew 4 K maps for each variable and arrived at an answer that is completely different from the correct answer, W=AB=AC'D'

    the answer i got
    Z= A'BD+BCD+AB'D
    Y=A'BC'D+ A'BCD'+ AB'C'D+ AB'CD'
    X= A'BC'D'+ AB'D+ AB'C
    W= AB'C'D'+ AB'CD

    i dont know what i am doing wrong and any guidance would be greatly appreciated
  2. jcsd
  3. Nov 5, 2014 #2


    User Avatar

    Staff: Mentor

    What converion method have you used to map binary to BCD?

    You seem to have written as 1s complement of the BCD, why?
    Last edited: Nov 5, 2014
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