ECE 231 - Fall 2023 - HW1 - Solutions

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George Mason University *

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231

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Electrical Engineering

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Dec 6, 2023

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Homework Assignment #1 Fall 2023 Homework #1 R EADING : 1. ZyBook: 1.1 – 1.5 M ULTIPLE C HOICE AND S HORT - ANSWER Q UESTIONS : [½ point each] 1. For which value of the noise margin (NM) will a logic circuit not function properly? (a) NM > 0 (positive) (b) NM < 0 (negative) (c) 0 < NM < 1 (d) All of the above. (e) None of the above. 2. For which value of the fan-out (FO) will a logic circuit not function properly? (a) FO > 0 (positive) (b) FO < 0 (negative) (c) FO = 0 (d) All of the above. (e) None of the above. 4. Where was the first point contact transistor constructed? (a) Marconi Company (b) Texas Instruments (c) RCA’s Research Lab (d) Bell Labs (e) Fairchild Semiconductor 5. Which company demonstrated that transistors could be mass produced using silicon? (a) Texas Instruments (b) Fairchild Semiconductor (c) Intel (d) IBM (e) Bell Labs ECE 231 – Digital System Design 1 of 12 Dr. Craig Lorie
Homework Assignment #1 Fall 2023 6. Who invented the integrated circuit? (a) Steven Hofstein and Frederic Heiman (b) Jack Kilby and Robert Noyce (c) Gordon Teal (d) Alan Cho (e) William Shockley 7. What is the value on the gate input of a pMOS transistor that causes it to be closed? (a) Logic-1 (i.e. the supply voltage, VDD) (b) Logic-0 (i.e. ground, GND) (c) Either logic-1 or logic-0 (d) The Gate input does not control the pMOS transistor. (e) None of the above. 8. Which logic operation is implemented by the CMOS circuit given below? (a) NAND (b) NOR (c) AND (d) OR (e) XOR ECE 231 – Digital System Design 2 of 12 Dr. Craig Lorie
Homework Assignment #1 Fall 2023 L ONG -A NSWER P ROBLEMS : [2 points each] 1. Calculate the noise margin high (NM H ) and noise margin low (NM L ) for each pair of logic gates specified below. Refer to the data sheets provided on Blackboard. The following values were taken from the datasheets for the 74LS04, 74HC04, and 74F04, that were provided with the homework assignment. These values were used in the calculations of noise margin below. Please review the datasheets to confirm the values given below. 74LS04 74HC04 74F04 V OH 2.7 V 4.4 V 2.5 V V OL 0.5 V 0.1 V 0.5 V V IH 2.0 V 3.15 V 2.0 V V IL 0.8 V 1.35 V 0.8 V (a) driver: 74F04 load: 74F04 NM H = V OH – V IH = 2.5 V – 2.0 V = 0.5 V NM L = V IL – V OL = 0.8 V – 0.5 V = 0.3 V (b) driver: 74F04 load: 74LS04 NM H = V OH – V IH = 2.5 V – 2.0 V = 0.5 V NM L = V IL – V OL = 0.8 V – 0.5 V = 0.3 V ECE 231 – Digital System Design 3 of 12 Dr. Craig Lorie
Homework Assignment #1 Fall 2023 (c) driver: 74F04 load: 74HC04 NM H = V OH – V IH = 2.5 V – 3.15 V = – 0.65 V NM L = V IL – V OL = 1.35 V – 0.5 V = 0.85 V (d) driver: 74LS04 load: 74F04 NM H = V OH – V IH = 2.7 V – 2.0 V = 0.7 V NM L = V IL – V OL = 0.8 V – 0.5 V = 0.3 V (e) driver: 74HC04 load: 74F04 NM H = V OH – V IH = 4.4 V – 2.0 V = 2.4 V NM L = V IL – V OL = 0.8 V – 0.1 V = 0.7 V ECE 231 – Digital System Design 4 of 12 Dr. Craig Lorie
Homework Assignment #1 Fall 2023 2. Calculate the fan-out high (FO H ), fan-out low (FO L ), and maximum fan-out (FO MAX ) for each pair of logic gates specified below. Refer to the data sheets provided on Blackboard. The following values were taken from the datasheets for the 74LS04, 74HC04, and 74F04, that were provided with the homework assignment. These values were used in the calculations of fan-out below. Please review the datasheets to confirm the values given below. 74LS04 74HC04 74F04 I OH – 0.4 mA – 20 ° A – 1 mA I OL 8 mA 20 ° A 20 mA I IH 20 ° A 0.1 ° A 5 ° A I IL – 0.36 mA – 0.1 ° A – 0.6 mA (a) driver: 74F04 load: 74F04 FO H = | I OH / I IH | = | – 1 mA / 5 ° A | = 200 FO L = | I OL / I IL | = | 20 mA / – 0.6 mA | = 33.33 = floor[33.33] = 33 FO MAX = min{ 200, 33 } = 33 Therefore, an “F” device can be connected to, at most, 33 “F” devices. ECE 231 – Digital System Design 5 of 12 Dr. Craig Lorie
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