ECE526-HW#1 - Solution

Q2/A) Design 8x1 multiplexer using 2x1 multiplexer? Q2 B)Simplify the Logic circuit shown below using K-map then draw the Simplified circuit? Q2/C) design logic block diagram for adding 12 to 5 using full adder showing the input for each adder?

Electrical Engineering 3. For the logic circuit in Figure 1, compute the following parameters: A) The total number of single stuck-at faults. B) The total number of all possible multiple stuck-at fault combinations. C) The total number of stuck-open faults. Note: You can assume that 3-input AND gate is realized using 8 transistors, a two-input OR gate is realized using 6 transistors, and an inverter is realized using 2 transistors.

d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.

Draw in Table 3 the circuit schematic of each segment using the basic logic gates in kmap

a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3.  iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.

H.W: Reduce the combinational logic circuit in Figure below to a minimum form.

An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4  have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.

A d. B Figure 1 3. Referring to the logic circuit in Figure 1, determine: a. The simplified Boolean expression. b. The output waveform. C H c. Due to fabrication errors, lines d and f were shorted to the supply voltage. What happens to the output of the circuit? d. Your hardware resources are limited to 2-input NOR gate only. Draw the gate schematic of the simplified Boolean expression in 3(a).

Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DD

The logic circuit: (From minimum SOP) Number of gates used in the circuit: 2-Input AND gate.. 2-Input OR gate. NOT gate Number of idle gates in the chip: 2-Input AND gate 2-Input OR gate... NOT gute The logic circuit: (From minimum POS) gates gates gates gates gutes Number of gates used in the circuit: 2-Input AND gate 2-Input OR gate... NOT gate Number of idle gates in the chip: 2-Input AND gate... 2-Input OR gate, NOT gate, IC name: IC name: IC name: gates IC name: gates IC name: gates IC name: gates gates gates

Given the following pullup circuit A-Design the pulldown circuitry B- What is the logic function implemented by this would be?

For the logic diagram shown in Figure 2, find logic function Q prove it is equivalent to Ex-NOR gate. i. A- DDO B

LOGIC GATE ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

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9 Part 1 of 2 Mc Graw Hill Required information Consider the logic gate circuit shown in the given figure. A (S1)-0- B (S2)-0 C (S3)-0- AB B BC B+C What is the Boolean equation for the given figure? ***************** The Boolean equation for the given figure is (Click to select) Note: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

Select a suitable example for for combinational logic circuit. O a. None of the given choices O b. De-multiplexer O c. PLA O d. Latches

6. For the follow logic circuit system, the output f is: 5 (A) ab. (B) a + b. (C) a'+b'. (D) a'b'. a b

Q4(a) Adder is divided into three types which are half adder, full adder, and parallel adder. Illustrate the implementation of full adder using half adder with necessary logic gates. (i) (ii) Figure Q4(a)(ii) shows the input timing diagram for a full adder. Illustrate the timing diagrams for output S and Cout- B Cin Cout Figure Q4(a)(ii) (iii) Given A = 111001 and B = 100010. Construct a 6-bit parallel adder to solve for A + B.

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Q4(a) Adder is divided into three types which are half adder, full adder, and parallel adder. Illustrate the implementation of full adder using half adder with necessary logic gates. (i) (ii) Figure Q4(a)(ii) shows the input timing diagram for a full adder. Illustrate the timing diagrams for output S and Cout- Cin Cout Figure Q4(a)(ii)

Design a combinational circuit using multiplexer for a car chime based on thefollowing system: A car chime or bell will sound if the output of the logic circuit(X) is set to a logic ‘1’. The chime is to be sounded for either of the followingconditions:• if the headlights are left on when the engine is turned off and• if the engine is off and the key is in the ignition when the door is opened.Use the following input names and nomenclature in the design process:• ‘E’ – Engine. ‘1’ if the engine is ON and ‘0’ if the engine is OFF• ‘L’ – Lights. ‘1’ if the lights are ON and ‘0’ if the lights are OFF• ‘K’ – Key. ‘1’ if the key is in the ignition and ‘0’ if the key is not in the ignition• ‘D’ – Door. ‘1’ the door is open and ‘0’ if the door is closed• ‘X’ – Output to Chime. ‘1’ is chime is ON and ‘0’ if chime is OFF

Q1. (a) Design a stick (layout) diagram for the following static CMOS logic gate, where A, B, C, D are the logic gate inputs and O/P is the output: VDD D-d[Q8 A-Q5 B-Q6 c-d[Q7 O/P CQ3 DQ4 B-Q2 A-Q1 Vss Figure 1 Use dual-well, CMOS technology. Include wells, well-taps, contact cuts, routing of power and GND in your diagram. Use colour coding and/or clear and readable detailed annotations to represent the wires in the different layers.

USE DIGITAL LOGIC AND DESIGNS . How universal gates can be used to perform AND, OR and NOT logics? (Draw logics)

Using 6 NMOS devices, design a NMOS style of the logic gates diagram below. Label the inputs and output.

5/ Select a suitable example  for combinational logic circuit.   A) None of the given choices B) Decoders C) Latches D ) PLA

Y=f(A,B,C)=(0,4,5)+don't care(2)

logic gates

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Electrical Engineering Design a three input NOR layout so that rise time and fall time become equal when input logic switches from (111) to (000) and again to (111)? 10

We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?

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