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(Solved) : 1 2019 Class Iastructions Sure Awwes Clearly Bea Opted A10 Problen 1 Pt Pailsts Use K Hap Q35398964 . . .

1, 2019, IN CLASS Iastructions sure awwes are clearly bea opted with a10% Problen 1 pt pailsts Use K-hap lo singlity the funcProf. Tassos Dimitri Homework 2 11, 2019, IN CLASS Example: ifX 101, which is equal to -1 in signed be2X+1-2(-1)+1-1,which ha1, 2019, IN CLASS Iastructions sure awwes are clearly bea opted with a10% Problen 1 pt pailsts Use K-hap lo singlity the functions belew in btham of armduch sed forns (c) Fa,A4 v) _ Σ (4, 5, 7, 8, 10, 11, 13, 14). 1,2) Froblem 2 [20 points A circuit wit 4 inputs has to realiae the following 3 functions fxyaw)-20,23,46, 7,30, 11) In what follows the cost of a cinowt in kfied as Nunber of eates ased nuber of isputs t puirs but not counting NOTs So anume that input variaèlies are avallable in both complemented and (a) [10 points) Find simple SOP expressions using K-maps for gach of the functions f. g and h xnint也Draw t croits for each offrandA what are her costs? (b) [10 points] Design the minimum cost cecui compare its total cost with the sum of the costs of the circuits you found in (a). Draw he combined circui a and Grading 12 mark wll be sudtracied for am paint enceeding coat of ideal soation Problem 3 [I5 point Design a cirouit that takes as input is a 3-bit signed & manitae number X X-l in 2 s complewent representation Assene that the sigsed magnitsde representatios of-0 should aever cerar Prof. Tassos Dimitri Homework 2 11, 2019, IN CLASS Example: ifX 101, which is equal to -1 in signed be2X+1-2(-1)+1-1,which has to be written in2 e: Monday, and complement the output Yshould on in the output. circuit How any output bits are for all outyst bits using Kmaps. (a) (5 points) Show the truth table for the output bits of the o Written in 2’s complement there? (b) (S points) Find the minimum sum of prxsotth ouut (o) (5 points) Implement the second most significant bit of the o using NAND gates only Problem 4 125 points Explain how to implement a 4-bit full adder (4FA) which takes as Cn and produces a sum bit and two output carries Gut and cae (5 pts) Show the truth table (5 pts) input 2 bits x y nd two input carries cn/ and (10 pa) Simplify the eaxpressions for the u .(5 pts) Show how to add 3 numbers P- P,P.P bits nd using Kmaps. FAs and two using three 4 is in the case of a ripple adder but this time combinirg (5 pts) Explain how to add the same 3 numbers using FAs only. How m time combining both 4FAs and FAs case? are required in this FAs many mplicants. Then write down their simplified form. Make sure it is easy to implicants. T different colors or other clear markings Problem 5 19 points For the functions below, draw their Kmaps and indicate their prime implicants and essential prime (e) F(x, y, z, w)-2 (0, 1,4, 5, 8, 11, 12, 13, 15) (b)G(r, y, z, w)-Σ(2, 6, 7, 8, 9, 13, 15) ereto cheet in the end Show transcribed image text

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