Question

a certain logic circuit has four inputs a, b, c, and d. the output x of the circuit is logic 1 if two or more inputs are logic 1. write the truth table for the same

Answer 1

A truth table for a logic circuit with four inputs where the output is logic 1 if two or more inputs are logic 1 was requested. The table would have 16 possible input combinations, and the output x would be determined based on the condition that at least two inputs are logic 1.

Step-by-step explanation:

The student asked for a truth table for a logic circuit with four inputs: a, b, c, and d, where the output x is logic 1 if two or more inputs are logic 1. To create this truth table, each input can be either 0 (logic 0) or 1 (logic 1), so we have 24 = 16 possible input combinations. We then determine the output for each combination based on the given condition.

Here's a condensed version of the truth table:

• If none or only one of the inputs is logic 1, then x is 0.
• If two or more of the inputs are logic 1, then x is 1.

For example:

• If a=0, b=0, c=1, and d=1, then x=1 (since there are two inputs with logic 1).

The full truth table would list all 16 possibilities with the corresponding output value for x.