Question

Two simple statements are Connected with a AND? Youre Censtructing the truth table of this compound statement. How many rows does the truth table will have?

Answer 1

4 Rows

Explanation:

Since, the number of input given to the AND gate in terms of simple statement, the output of the AND gate will give output true if both the statements given to the AND gate will true otherwise it will show output false.

Let's see the truth table for the inputs of two statements

Statement 1 Statement 2 Output

False False False

False True False

True False False

True True True

As we can see the number of rows in the truth table of an AND gate having two input, will have 4 rows.

Answer 2

A truth table should consider all possible truth values of its simple statements. In this case there are two simple statements, where each one of them can take true or false value, so each of the estatements needs two rows for their individual truth values and, therefore, the compound estatement requires 2x2 = 4 rows for its truth table.

Explanation: