From the logic circuit diagram given below, name the outputs (1), (2) and (3) and finally derive…
Computer Science20245 marksNumerical
(a)[4.0]
From the logic circuit diagram given below, name the outputs (1), (2) and (3) and finally derive the Boolean expression (F) and simplify it. Identify the propositional connective which is equivalent to the simplified Boolean expression.
(b)[1.0]
If $A=1$ and $B=0$ then find the value of $(A' + 1) \cdot B$
Answer
Answer (b)
AI
$(A'+1) \cdot B$ for $A=1, B=0$: $A'=0$, so $A'+1 = 0+1 = 1$ (Identity Law: anything OR 1 = 1). Then $1 \cdot B = 1 \cdot 0 = 0$.
Final answer: 0
