Question

which of the following options best completes the column for (y && y) || (x &&!x) in the truth table? x y (y && y) (x &&!x) (y && y) || (x &&!x) t t ? t f f t f f false true

Explanation:

Step1: Calculate \(y\&\&y\)

When \(y = T\), \(y\&\&y=T\)

Step2: Calculate \(x\&\&!x\)

When \(x = T\), \(!x = F\), so \(x\&\&!x=F\)

Step3: Calculate \((y\&\&y)\parallel(x\&\&!x)\)

Using the OR (\(\parallel\)) operation: \(T\parallel F=T\)

Answer:

True