Question

Please do problem 2 and 3

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

Represemtation 23 Com plemam n-2 2 3-3 2 LSB MSB 1- to 1 -W Ramge mumben bits 4bit 9put ab c d LSB MSB 2 2 2 -2 4 2 -8 foR 2 8 Complemant -8 to +7 Romge ot 4 bit

+5 I O O O IO Now acchding to qoestion output s 5 eates than input t ih put is less than 2 fxom derimals to ie we each imput abcd os habun add 5 above 1ess tham input input 2 aut put 2ateh thah ( eajual to 2" desimal e. from 2 to 7 0 0.0 0 O

ToFimd wx ト K Maps Use Now we meuts o00 out put us I001 iolo 10 O abct ab d e' sutput f8imputs 1O10, 111, 0000, 00o, o lo, 0lI 1 abdt bCd+a bc bこ Oo1, 1oIO 110 -B IO, 0o01, 0l oo, o10 Y ab TC acd Cd + abc+

1 000 101O 00 110,00 1A 10 a d t abd bd acd

w-abc a d C =bこ+a万d+bcd +a bc 4=Mdt abc t aca 3 ad + abd +bdta cd ED 이ㅎ 1d ad 1의U 130군