Problem of the Day

Wednesday, October 14, 2026

Problem:

Boolean expressions can be analyzed using a truth table, which summarizes all the possible values for the inputs to an expression, along with their corresponding outputs. Here, for example, is the truth table for the && operation:

`A`	`B`	`A && B`
`false`	`false`	`false`
`false`	`true`	`false`
`true`	`false`	`false`
`true`	`true`	`true`

In the example above, the outputs in the last column are listed from top-to-bottom as false, false, false, true. Which would be the outputs of the truth table for the boolean expression A || !B ?

true, false, false, true
false, true, false, true
true, false, true, true
true, true, false, false

Show solution:

The correct answer is c. The truth table for this expression is given here:

`A`	`B`	`!B`	`A \|\| !B`
`false`	`false`	`true`	`true`
`false`	`true`	`false`	`false`
`true`	`false`	`true`	`true`
`true`	`true`	`false`	`true`