The Truth Table of a circuit is shown belowThe Boolean expression of Z isa)b)c)d)AllCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

So, we will write down the minterms of Z for which it is 1 and add them.

Then by looking the table minterms are (0,2,3,4,5)

So we will minimize it by K Map.

There is no logic given for minterms 6 & 7,so we can take it as don’t care then minimize it.

Then,Z=A+B+C̅

By the checking option we can get the option (B)

ALTERNATIVE METHOD:

In the table for only one minterms (m₁) logic of Z is zero,so we can find Boolean

Expression of Z̅ then complement it.

Z̅ = A̅ B̅ C