Question

Construct a truth table for the logical operator NOR.

Answer 1

Answer:

A   B   A NOR B

F   F        T

F   T        F

T   F        F

T   T        F

Step-by-step explanation:

The logical operator NOR produces a result that is the negation of the logical operator OR.

The truth table for the logical operator NOR can be obtained by the negation of the results of the truth table for the logical operator OR.

Let A and B be the the logical values (or inputs). The operator OR produces a value of true if and only if at least one operand is true. The truth table for OR is:

A   B   A OR B

F   F       F

F   T       T

T   F       T

T   T       T

So, the truth table for NOR is:

A   B   A NOR B

F   F        T

F   T        F

T   F        F

T   T        F

Notice that the negation of OR (which is NOR) is obtained by changing the F by T and the T by F in the column of the results.

This table can also be writen with 0 instead of False and 1 instead of True.