Question

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

Explanation:

Step1: Analyze logical operators

In programming, && is logical AND (both operands must be true for result to be true), ! is logical NOT (reverses the boolean value). When \(x = F\), \(!x=T\). But \(x\ &&\!x\) means \(F\ &&\ T\).

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

Using logical AND rules: \(F\ &&\ T = F\) (since for AND, if one operand is false, the result is false).

Answer:

\(F\)