[SOLVED] CSC1301 -HW01

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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=A B or

Q=A.B+A.B
EXNOR Q=A B or

Q=A.B+A.B

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

7. Show the behavior of the following circuit with a truth table:

A B Y

Questions 8 – 13 = [56 pts – 9.33 points each]

8. Complete the truth table for the following system. Hint****A B B C

9. Complete the truth table for the following system

A B C AB (BC)’ C’ (AB C’)’ (BC)’ (AB C’)’

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:
AB CD

13. Draw a circuit diagram corresponding to the following Boolean expression:
(AB + C)D