Question

in your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression.

Explanation:

1. First, identify all input variables of the logic circuit and list every possible combination of binary (0/1) values for these variables to form the rows of an empty truth table.
2. Trace each input combination through the logic gates of the circuit step-by-step to calculate the corresponding output binary value for each row, completing the truth table.
3. For the completed truth table, identify all rows where the output is 1.
4. For each of these rows, create a product term (AND term) where each input variable is included as itself if its value is 1, or as its negation if its value is 0.
5. Combine all these product terms with OR operations to form the final sum-of-products logic expression for the circuit.

Answer:

1. List all binary input combinations for the circuit's variables to build a blank truth table.
2. Simulate each input set through the circuit's gates to fill in the output values for every row of the truth table.
3. Isolate all rows in the truth table where the output equals 1.
4. For each selected row, write a product term where each input is in its true form (1) or negated form (0) based on its value in the row.
5. Combine all these product terms using OR operations to get the circuit's logic expression.