Question

The Total number of rows in a truth table with 5
variables is​

Answer 1

Answer:

2^5=32

Step-by-step explanation:

Answer 2

The total number of rows in a truth table with 5 variables is 32.

Given :

A question with five variables

To find out :

Number of rows in a truth table with five variables .

Solution :

To find out number of rows in a truth table with 5 variables , we should know what is a truth table.

A truth table is break down of a logic function by listing all possible values the function can attain.

Truth table contains several rows and columns

The top row represents logical variables and combinations , in increasing complexity leading up to the final function.

The number of rows that a truth table needs is determined by the number of basic statement letters involved in the set formulas that will be involved in the set of formulas .

The formula to find out number of rows is equal to 2ⁿ where n is number of basic statement letters involved.

Number of rows = 2ⁿ

If number of variables in in a truth table is 5 then number of rows = 2⁵

2⁵ = 2×2× 2× 2× 2

= 32 .

The total number of rows in a truth table with 5 variables is 32.

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