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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 β€œ1” whereas 0 V represents a binary input value of β€œ0”. 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: 𝐸 = (𝐴 βˆ™ 𝐡� ) + (𝐡⨁𝐢)+D 10. Draw the logic circuitry that will be connected to segment β€œg” 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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3. (𝑨 βŠ• 𝑩) βŠ• π‘ͺπ’Šπ’ = π‘Ίπ’–π’Ž
((𝑨 βŠ• 𝑩). π‘ͺπ’Šπ’) + (𝑨. 𝑩)) = π‘ͺ𝒐𝒖𝒕

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Given that A = 1, B = 0 , C = 0

Therefore we have Z = 1 and ...

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