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

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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  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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