Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 10 (Q.No. 3)
3.
The circuit shown in the figure has 4 boxes each described by inputs P, Q, R and outputs Y, Z with
Y = P ⊕ Q ⊕ R, Z = RQ + P R + Q P

The circuit is a
4 bit adder giving P + Q
4 bit subtractor giving P - Q
4 bit subtractor giving Q - P
4 bit adder giving P + Q + R
Answer: Option
Explanation:

Let P = 1101 Q = 1101

Yn = Pn ⊕ Qn ⊕ Rn

Z = Rn Qn + Pn Rn + Qn Pn

Constructing truth table

So that, Rn + 1 = Zn 1 ≥ n ≥ 3

Z4 = R5(MSB)

Hence, output is 00010 which show that it is a 4 bit subtractor giving P - Q.

Discussion:
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