Question

#1,2,7,9

Fall 2019 Test 2 Practice Problems EE210 m(1.6.7). Use a K-map to simplify the Show a truth table for the function F(w, x, y)= function. Find a minimal AND-OR realization 2. Using a 3.variable Karnaugh map, find a minimum SOP reduction for F(A,B,C) - m(0,1,5,7). Using a 4-variable Kamaugh map, find a minimum SOP reduction for F(A.B.C.D) - Ym(1.5.7.11.13.15) Using a 4-variable Karnaugh map, find a minimum SOP reduction for F(A,B,C,D) - Sm(1.5.7,11,13,15) + d(2,3) Study Guide, Unit 5. Items 1, 2 and 3. Using a truth table, show that this Boolean expression is true: (X+Y)Y = XY 7. Use a Kamaugh-map to show F=A+ABC'B'C, and minimize the results. 8. Show the Boolean algebraic form of F(A,B,C) - IIM(2,3,4,5) How many unique cells are required to create a 5-variable logic system? 10 Dual rail logic. Some systems provide, by default, input variables, for both its logic 1 and logic 0 states. This is known as dual rail logic. In such cases, you can simply "tap off the appropriate input variable, without having to use inverters at the input. You will need to place "dots" wherever a connection is made to make it clear that there is a connection being made there. Show the logic diagram for an exclusive-OR circuit, using dual rail logic, and using NAND gates only. AA BB

Answer 1

F(x,x,y). Em (16,7) K-map y XY J 00 x 01 1 UU --- - oooo Hoo-100- F-0000-05 WX + Wły uły . a (Truth Table) 'wx+uły AND OR Realisation F(A,B,C): 50 (o, L5,4) Minimal sop MOTIF- ĀB+ AC ② f: At Ā B C & Bc 51. ABt + две ABE+ Аве + лв + Авс = {(1,2,4,5,6,7) K - map see more If= A + Be + BC

for a 5-variable logic system (+1=3). No: of unique cells required = 2^ . : 25 T: 32