a) See Table 1 below for the truth table of a function Y: Table 1. Three-input, one output truth table for function Y с
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b) Find the Boolean expression for Y in Sum-of-Minterms form. c) Simplify Y so it is a sum of 3 product terms with 2 literals each to get Sum of Products (SOP). d) Draw the logic diagram for part (c). Hint: You must make a 3 input OR gate from 2 input OR gates. e) Choose which integrated circuits (IC) you will use to test this circuit. Label the gate inputs and outputs above with the appropriate pins for that package. See the last page for pin-outs. f) Assemble the logic circuit for the given expression using necessary ICS. DON'T connect power until your instructor sees your circuit! Use the toggle switches on the Digital Trainer for A, B and C inputs. Connect the output to an LED on the Digital Trainer.
Table 2. Results of hardware testing for function Y. A B С Y Colo 0 0 0 1 0 1 o 1 o Ooool 1 1 0 0 1 0 1 1 lo 4 1 1 1 1 h) Is Table 2 the same as Table 1? i) Take a picture of your working circuit and put it in your lab report. Label the picture "Hardware for testing function Y" in your lab report (described below). Do the following in lab if there is time. If there is no time, then just to j, k, l, m, n at home and skip steps o, p, q, and r. j) See Table 3 below for the truth table of a function S: Table 3. Three-input, one output truth table for S S A B с 0 0 0 0 1 1 OOOO U OOO 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1
k) Find the Boolean expression for Sin Sum-of-Minterms form and also find Sum of Products (SOP). 1) Simplify S and draw the logic diagram with only XOR gates. Lab Report Exercise: Question 2: Submit a lab report by including this lab handout with attached sheets as needed to do the following: You must read this entire Lab Sheet, and follow all instructions. 1). Express Y in POS form. Do this by first Y and then simplify. Then invert this (Y) to get Y in POS form. Prove it is correct with a truth table. 2). Express F=A'C + B'C'+AB I POS form. Prove it is correct with a truth table. 3). Include the pictures for parti in your report. Label them as described.