Question

Please solve Q1 and Q2

Complete the following homework problems. Show all work (making answers for clarity sure it is legible) and circle all Problem 1 w3 X A w4 w1 C D Y w2 Determine Boolean functions for intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y. b) a) Construct a truth table showing the intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y Use K-maps to find simplified expressions for X and Y c) Problem 2 Design a combinational circuit with inputs a, b, c, d and outputs w, x, y, z. Assume that the inputs a, b, c, d represent a 4-bit signed number (2s complement). The output is also a signed number in 2s complement which is 5 greater than the input if the input is less than 2, and is 2 less than the input if the input is greater than or equal to 2. Problem 3 Use a 4x16 decoder to implement the following Boolean function: F ab bcd + ābd Problem 4 Use an 8xl mux to implement the following Boolean function: F ab bcd + ābd Problem 5 Use the Boolean functions developed in Problem 1 to create a circuit in verilog HDL with four inputs (a,b,c,d) and two outputs (F1, F2) with each output equal to the result of Problem 1. Show your HDL code as well as the simulation results.

Answer 1

Wu wuBc+A w2-AD Snalart = ABC+A-A+B¢0+DA Jo X Y w.wu Y=(AtD) Cac+Ā) = ABC+ Bco+ A DD U3 A C O C O C O O 0 C 'A A AD O O O 0 O 1 C

GA Y O C O O o 1 O C C O O k-map CD AA D I | AD+ABC X AD+ABC Y - c O O C

a,cd Fdmo input inpub greater han Input inpu 2, bupud han 2 leu Qutpud mpu a bc d complmenh Truth tabk In Then X Vulue C 1 O 2 C O O O O C -8 C -G -S -3 O -2 O O XAuCo 1. ABC ABDD X=B+ BCD+ĀBC +AB D ACCD) (Q+2)v w ATAB

1 a lo Y = Co+ABC+ACO AD ABDACD+BcD A B