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## Homework Statement

Draw the simplest logic gate or circuit for the description below. The inputs are ##a, b, c## and the output is ##z##.

##z = 0## only if ##abc = 010## or ##abc = 110##

## Homework Equations

## The Attempt at a Solution

So i drew up a quick table, AND and OR'ed the required terms together and came up with this:

Is this okay? The input ##a## seems to have disappeared, which makes no sense to me. Unless its some sort of trick question where I only need 2 inputs since the output doesn't rely on ##a## at all.