Complete the truth table for the XOR gate: X⊕Y DO QUESTION 7. X Y X ⊕ Y 0 0 0 1 1 0 1 1
- Complete the truth table for the XOR gate: X⊕Y
DO QUESTION 7.
X |
Y |
X ⊕ Y |
0 |
0 |
|
0 |
1 |
|
1 |
0 |
|
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’(A⊕C’) + 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?
8. Implement the two circuits on the breadboards. (From steps 4 and 7.)
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