Assignment-6- EENG 1910 - Completed

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University of North Texas *

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1910

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Electrical Engineering

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Dec 6, 2023

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Assignment-6 Please show your work for each of the questions that requires calculations. Submit your simulation files for question 4.c. 1. What are the differences between analog and digital systems? a. Analog signals use a continuous range of values to represent information. They are more of a sine waveform. Analog signals are more useful in audio and video applications. b. Digital signals use 0’s and 1’s to represent information. They are more of a square waveform. Digital signals are more useful in computing and digital electronics. 2. What are NOT, AND, OR, NAND, NOR, XOR, and XNOR gates and what are they used for? Provide a definition or example for each. a. NOT – An inverter. It only has one input, but the output would be the inversion. INPUT OUTPUT 1 0 0 1 b. AND – Is only true if both inputs are true. Otherwise, it’ll be false. INPUT 1 INPUT 2 OUTPUT 0 0 0 0 1 0 1 1 1 1 0 0 c. OR – Is true if only one input is true. INPUT 1 INPUT 2 OUTPUT 0 0 0 0 1 1 1 1 1 1 0 1 d. NAND – Like an “AND” gate but inverted. Is always true unless both inputs are true. INPUT 1 INPUT 2 OUTPUT 0 0 1

0 1 1 1 1 0 1 0 1 e. NOR – Like an “OR” gate but inverted. Is always false unless both inputs are false. INPUT 1 INPUT 2 OUTPUT 0 0 1 0 1 0 1 1 0 1 0 0 f. XOR – Is only true if either (not both) inputs are true. INPUT 1 INPUT 2 OUTPUT 0 0 0 0 1 1 1 1 0 1 0 1 g. XNOR – The inverse of XOR. Is true if both inputs are either true or false. INPUT 1 INPUT 2 OUTPUT 0 0 1 0 1 0 1 1 1 1 0 0 3. What are universal logic gates? Why are they called universal? a. Universal logic gates are logic gates that can be used to construct any other logic gates. The universal logic gates are NOR and NAND. 4. Given the circuit of Figure-1, a. Derive the logical expression (Y as a function of A, B, and C). (underlines will represent inversions) i Y = (A + C) B + B (B+C) ii Y = (A + C) B + B (B*C) iii Y = (A C + AC ) B + (B*C) iv Y = AB C + ABC + B+C

v Y = A C+B + AB +C vi Y = AB +B + A C+C viiY = A + B + C b. Derive the truth table. (all results true if one or all is true) A B C Y 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 c. Then, using Multisim or any other Digital Simulator (for example https://logic.ly/demo ) , implement the circuit and test your outputs. Compare the results of the simulation to the results of the truth table. i Listed down below. I didn’t know how to save the files so I just screenshotted them.

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When all is off When one is on When all but one is on

When all are on Figure-1: Circuit # 1.

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