In a truth table, how many rows does a 3-input logic gate have?

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Question: In a truth table, how many rows does a 3-input logic gate have?

Options:

Correct Answer: 8

Solution:

A 3-input logic gate has 2^3 = 8 rows in its truth table.

In a truth table, how many rows does a 3-input logic gate have?

In a truth table, how many rows does a 3-input logic gate have?

Step 1: Understand that a 3-input logic gate means it has 3 different inputs.
Step 2: Each input can be either 0 (false) or 1 (true).
Step 3: For each input, there are 2 possible values (0 or 1).
Step 4: To find the total number of combinations of inputs, use the formula 2^n, where n is the number of inputs.
Step 5: In this case, n is 3 (because there are 3 inputs).
Step 6: Calculate 2^3, which means 2 multiplied by itself 3 times: 2 * 2 * 2.
Step 7: The result of 2 * 2 * 2 is 8.
Step 8: Therefore, a 3-input logic gate has 8 rows in its truth table.

Truth Tables – A truth table is a mathematical table used to determine the output of a logic gate for all possible input combinations.
Binary Combinations – For n inputs, the number of possible combinations is calculated as 2^n, where each input can be either 0 or 1.