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ECE-101

Homework 6

GRADE

Name: ___________________________________

All questions are 7.5 points each except question 13 which is 10 points

1. Generate the truth table for the circuit given below, listing all the possible input and

outputs.

2. What does the circuit above accomplish? Explain

3. Generate the Boolean expressions for the two outputs in the circuit given above in

question 1.

Sum=_____________________________

Cout=_____________________________

4. Draw a logic circuit that will produce a 1 at its output only if either the following

binary codes was input to the gate: 10101 or 11101. Keep in mind that AND gates

can have more than 2 inputs.

5. Determine the output D of the following circuit if A=1 B=0 C=0

6. For the circuit above, construct a truth table listing all the possible inputs and the

outputs corresponding to each of the combination of inputs

7. For the circuit in question 5, generate the Boolean expression that describes output

D.

D=_______________________________________________

8. Re-draw the combinational logic circuit given in question 5 in Circuitlab. Connect

appropriate DC voltage sources to inputs A, B and C to represent the logic levels

A=1 B=0 C=0.

5 Volts should represent an input of 1 whereas 0 V represents a binary input value

of 0. Connect a voltmeter to the output of the circuit to display the voltage at

output D. Simulate the circuit (run DC solver) and display the voltage value displayed

on the voltmeter. Print your circuit clearly showing the voltage obtained on the

voltmeter.

9. Draw the combinational logic circuit that implements the following Boolean

expression:

? = (? · ?? ) + (???)+D

10. Draw the logic circuitry that will be connected to segment g of the 7-segment

display

11. Consider a digital circuit with 3 D-type flip-flops given below (the same D type

FF learned in class but with negative edge trigger). Complete the timing diagram

based on this circuit to illustrate the outputs Q1, Q2 and Q3

D

CLK

12. Complete the timing diagram below for a D type flip flop with a positive edge

triggered clock and active low set/clear

D

CLOCK

SET

CLEAR/RESET

13. Complete the truth table given the two-digit 7-segment displays below, to display

the numbers 0-15. As an example, to display the number 14, the first digit will

display 1 and the second digit will display 4. In BCD, 14 is represented using

A1=0, B1=0, C1= 0 D1=1, A2=0, B2=1, C2=0, D2=0 Also, to display a 1-digit

number such as the number 7, the first digit will display 0 and the second digit will

display 7.

a1

a2

f1

f2

b1

g1

Number

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

A1

Digit1

B1 C1

g2

c1

e1

D1

b2

c2

e2

d1

d2

Digit 1

Digit 2

A2

Digit 2

B2 C2

D2 a1

Segments for Digit 1

b1 c1 d1 e1 f1

g1

a2

Segments for Digit 2

b2 c2 d2 e2 f2

g2

ECE 101 Homework 6

5

…

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