Is my answer for this truth table & boolean expression correct?

$\begingroup$

I was given the following boolean diagram:

I had to come out with the truth table and the simplified expression. I need help to check if my answers are correct below.

$\endgroup$ 3

3 Answers

$\begingroup$

You've done a fine job on your truth table and in the simplification of $X$.

A quick way to check and show that your truth table is consistent with your simplification is to note, from the truth-table, that $X$ is true, or (1), in only one of the eight rows, when $A$ is false, and both $B, C$ are true.

This means $X$ holds exactly when $\overline A$ is true, AND $B$ is true, AND $C$ is true: $$X = \overline ABC$$.

$\endgroup$ $\begingroup$

I have verified it in EXCEL and see the answer below

TRUE = 1

FALSE = 0

Your relation is right and the truth table is right too

Thanks

Satish

$\endgroup$ $\begingroup$

If the question is: "Provide the Boolean expression from the above Truth Table", is the answer c) still correct?

$\endgroup$ 2

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy