Question

Switching function of the network is

• A. $(a\wedge b)\vee c\vee (a^{\prime }\wedge b^{\prime }\wedge c^{\prime })$
• B. $(a\wedge b)\vee c\vee (a^{\prime }\wedge b^{\prime }\wedge c)$
• C. $(a\vee b)\wedge c\wedge (a^{\prime }\vee b^{\prime }\vee c^{\prime })$
• D. None of the above

Answer 1

Answer: (A)

Since, switches $a$ and $b$ and $a^{\prime }\cdot b^{\prime }$ and $c^{\prime }$ are parallel which is denoted by $a\wedge b$ and $a^{\prime }\wedge b^{\prime }\wedge c^{\prime }$ respectively Now, $(a\wedge b),c$ and $\left(a^{\prime }\wedge b^{\prime }\wedge c^{\prime }\right)$ are connected in series, then switching function of complete network is $(a\wedge b)\vee c\vee \left(a^{\prime }\wedge b^{\prime }\wedge c^{\prime }\right)$