Description
The following table should remind you of the work we did in class
Gate Symbol Boolean Equation
NOT Q = A
AND Q = A.B
OR Q = A +B
NAND Q = A.B
NOR Q = A +B
EXOR
Q AB AB
Q A B or
= . + .
=
EXNOR
Q AB AB
Q A B or
= . + .
=
A Q
A
B Q
A
B
Q
A
B
Q
A
Q
A
B
Q
A
B
Q
Gates question 1 – 7 = [44 pts – 7 points each]
1. Draw an AND gate and list all the possible input values that will cause it to produce a
value of 1.
2. Draw an OR gate and list all the possible input values that will cause it to produce a
value of 1.
3. Draw an XOR gate and list all the possible input values that will cause it to produce a
value of 1.
4. Draw a NOT gate and list all the possible input values that will cause it to produce a
value of 1
5. Draw and label the symbol for a TWO-input NOR gate, then show its behavior with a
truth table.
6. Show the behavior of the following circuit with a truth table:
A
B
C
A B C
7. Show the behavior of the following circuit with a truth table:
A
B
A B Y
Questions 8 – 13 = [56 pts – 9.33 points each]
8. Complete the truth table for the following system. Hint****A͛B н ;BнCͿ͛
A
B
C
9. Complete the truth table for the following system
A
B
C
A B C AB (BC)’ C’ (ABнC’)’ (BC)’ н (ABнC’)’
10. Draw and label the symbol for a TWO-input NAND gate, then show its
behavior with a truth table.
11. Draw a circuit diagram corresponding to the following Boolean expression:
(A + B)(B + C)
12. Draw a circuit diagram corresponding to the following Boolean expression:
;ABͿ͛ н ;CDͿ͛
13. Draw a circuit diagram corresponding to the following Boolean expression:
(AB + C)D
