Design a logic circuit to take input signals p, q, and r and output a 1 if , and only if, p and q have the same value and q and r have opposite values.

Step-by-step explanation:

We have 3 given inputs namely P, Q, R and we have to draw a logic circuit which will give the output 1 if , and only if, P and Q have the same value and Q and R have opposite values.

So, first of all we make a truth table for this

P        Q        R        Output(Y)

0        0        0           0

0        0         1           1

0         1        0           0

0         1         1           0

1         0        0          0

1          0        1           0

1          1        0           1

1          1         1           0    

From the truth table we can see that the output, Y can be given by

So, the logic circuit for the given logic equation can be drawn as shown fig.                  

97.92

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