1. Complete the truth table for the XOR gate: XOY X Y X Y 00 0...

 

Transcribed Image Text:

1. Complete the truth table for the XOR gate: XOY X Y X Y 00 0 1 10 1 1 2. What is the algebraic expression for XOR? (hint: create from the truth table) Sum of products form: Product of sums form: 3. Build the truth table for this function: F(A,B,C) = B'(AOC') + BC +A'C 4. Draw the circuit diagram that represents this equation. How many gates are used in the diagram? 5. Using Boolean algebra, eliminate the exclusive OR gate, then factor to obtain a minimum product of sums. 6. Verify this second equation with a truth table. (Does it match step 3?) 7. Make a second circuit diagram to represent the new minimized equation. How many gates are found in the second circuit? 1. Complete the truth table for the XOR gate: XOY X Y X Y 00 0 1 10 1 1 2. What is the algebraic expression for XOR? (hint: create from the truth table) Sum of products form: Product of sums form: 3. Build the truth table for this function: F(A,B,C) = B'(AOC') + BC +A'C 4. Draw the circuit diagram that represents this equation. How many gates are used in the diagram? 5. Using Boolean algebra, eliminate the exclusive OR gate, then factor to obtain a minimum product of sums. 6. Verify this second equation with a truth table. (Does it match step 3?) 7. Make a second circuit diagram to represent the new minimized equation. How many gates are found in the second circuit?