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Combinational circuit that takes 3 bit binary numbers as input and its output is 2's complement of even number and 1's complement of odd number

Hey, I have this assignment that I'm supposed to do. I've tried it myself but I'm stuck. Please help me complete if my process is right.

First, i made a truth table with 3 inputs and 4 outputs: Truth Table

On Drawing the K-Maps, i found that:

A=x'y'z'
B=x y'z' + x'y + x'z
C=y'z+yz'
D=0

I then drafted out the circuit diagram, but i'm not sure how to show D's diagram since D=0

Circuit Diagram

How do i show the D circuit?

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  • \$\begingroup\$ Since the three inputs have no effect on D you can just tie it to zero. It would be even better to just leave it out. btw I didn't look at the correctness of the equations. \$\endgroup\$ Commented Jan 20, 2016 at 16:45
  • \$\begingroup\$ You have mistakes in truth table, and so in equations and on schematic. Check once again how to calculate 2's and 1's complement. \$\endgroup\$ Commented Jan 20, 2016 at 17:00

1 Answer 1

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The K-map simplification seems to be wrong.

    The k -map simplification for A is A=x' and everything is right.For 0,just tie the input to groundanswer pic

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