Question: In a truth table, how many rows are there for a circuit with 3 inputs?
Options:
4
6
8
16
Correct Answer: 8
Solution:
A circuit with 3 inputs has 2^3 = 8 rows in its truth table.
In a truth table, how many rows are there for a circuit with 3 inputs?
Practice Questions
Q1
In a truth table, how many rows are there for a circuit with 3 inputs?
4
6
8
16
Questions & Step-by-Step Solutions
In a truth table, how many rows are there for a circuit with 3 inputs?
Step 1: Understand that each input can be either true (1) or false (0).
Step 2: For 3 inputs, each input has 2 possible values (true or false).
Step 3: Calculate the total combinations of inputs by raising 2 to the power of the number of inputs: 2^3.
Step 4: Perform the calculation: 2^3 equals 8.
Step 5: Conclude that there are 8 different combinations of inputs, which means there are 8 rows in the truth table.
Truth Tables – A truth table is a mathematical table used to determine the output of a logical operation based on all possible combinations of inputs.
Binary Combinations – For n binary inputs, the number of possible combinations is calculated as 2^n.
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