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theuniverse
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Homework Statement
Consider the truth table below.
(a) Write an expression for the logic function that it represents, and simplify that expression as much as possible, showing all steps.
(b) Draw a logic circuit implementing this.
(c) Redesign your circuit to use only NOR gates.
Homework Equations
A B C Q(output)
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 0
The Attempt at a Solution
a) I chose to concentrate on when Q has values of 1. so I came up with the following equation: (where ~ means not, ie. ~A means that A is false)
Q = ~AB~C + AB~C
= B~C(~A+A) [~A+A=1]
= B~C
b) See attached.
c) that's where I could use some help... I'm not really sure how to write an expression or change my circuit diagram using what I already have.
Thanks!