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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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