Question

Consider the following circuit: (i) Draw the truth table for the Boolean function F. (ii) Computer F as a Boolean expression of x and y. (iii) What is another name for the operation that F computes?

Answer 1

The truth table can be created by assigning values to x and y and calculating the output F using the given operation. The Boolean expression for F can be determined by observing patterns in the truth table. The operation could be represented by different logical gates depending on the Boolean expression of F.

Step-by-step explanation:

1. Truth Table for Boolean Function F:
   To create the truth table for the Boolean function F, we need to identify all possible combinations of inputs (x and y) and their corresponding outputs (F). In this case, since there are two variables (x and y), there will be 4 rows in the truth table. The rows can be filled out by assigning the values 0 and 1 to x and y, and then calculating the output F using the given operation.
2. Boolean Expression of F:
   To compute F as a Boolean expression of x and y, we can look at the truth table and observe any patterns or relationships between the inputs and outputs. We can use logical operators (AND, OR, NOT) to represent these relationships. By analyzing the truth table, we can determine the appropriate Boolean expression for F.
3. Name for the Operation:
   Another name for the operation that F computes depends on the specific Boolean expression or gate used. The operation could be represented by an AND gate, OR gate, NAND gate, or any other logical gate depending on the Boolean expression of F.