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

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I was given the following boolean diagram:

Logical diagram showing inputs and output

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

Truth table and boolean expression simplification

3

There are 3 best solutions below

0
On

I have verified it in EXCEL and see the answer below

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TRUE = 1

FALSE = 0

Your relation is right and the truth table is right too

Thanks

Satish

0
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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: $$X = \overline ABC$$.

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