Truth Tables: How To Determine The Number Of Rows Based On Boolean Variables

number of rows in a truth table

2^n, where n = number of variables

The number of rows in a truth table depends on the number of unique Boolean variables involved in the logical operation. For a single Boolean variable, the table would have two rows, one for each possible truth value (0 or 1).

For example, a truth table for the AND operation with two variables would have four rows, as there are two possible combinations for each variable (0 or 1), resulting in a total of four possible combinations.

Similarly, a truth table for the OR operation with three variables would have eight rows, as each variable can have two possible truth values (0 or 1), resulting in a total of eight possible combinations.

In general, the number of rows in a truth table can be calculated using the formula 2^n, where n is the number of unique Boolean variables involved in the operation.

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