6th 5. Simplify the following Boolean expression using K-mapF(A,B,C) = AC + AB + ABC6. Simplify the following Boolean function by using K mapF(A,B,C,D) = Em(0,2,3,5,7,8,10,11,14,15)7. Simplify the following Boolean function F together with the don't-care conditions d:F(W,X,Y,Z) = Em(0,1,2,3,7,8,10), d(W,X,Y,Z) = Em(5,6, 11,15)%3D%3D

We use kmap to simplify the Boolean expression.

Answered: 6. Simplify the following Boolean…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Using Karnaugh Maps (K-Maps), convert the following Boolean function from a sum of products form to a simplified product of sums form. F(w, x, y, z) = ∑(0, 1, 2, 5, 8, 10, 13)
6. Simplify the given function using K-Map. F (A, B, C, D) =∑m (0,2,3,4,6,8,10,12,14) +d (1,11,13)
Q4/ a) Using the K - Map simplify the following standard SOP expression X = ∑ m ( 0, 1, 2, 3, 5, 7, 8, 9, 10, 11, 13, 15 ) and find the simplified expression for X b) Implement the above simplified expression using gates. c) Write the standard POS expression for X given in part (a), as a function of input variables (A, B, C ............)
Using K-map, Simplify the following Boolean expression, X= ∑m(1,3,5,7,11)
Reduce the following Boolean expression using K-Map:-F(U,V,W,Z)= π(0,2,5,7,12,13,15)
Simplify the following Boolean functions, using K-maps: F (w, x, y, z)=Σ(2, 3, 12, 13, 14, 15)
8. Simplify the given function using K-Map. Y (A, B, C, D) =∑m (0,2,4,7,8,10,12) +d (5,6,13,14).
Simplify the following Boolean functions using K-MAP: a) F(A, B, C, D) = ∑ (1, 4, 5, 6, 12, 14, 15) b) F(W, X, Y, Z) = ∑ (0, 1, 2, 4, 5, 7, 11, 15) c) F(A, B, X, D) = ∑ (2, 3, 10, 11, 12, 13, 14, 15) d) F(A, B, C, D) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15) e) A′B + BC′ + B′C′ f) X′Y′ + YZ + X′YZ′
c) A combinational circuit is described by this Boolean Expression: F(A,B,C,D) = Σm(0,2,4,8,9) i) Minimise the Boolean Expression given above using a Karnaugh map. ii) Given Don’t Care conditions d = Σm (10,11,12), use a separate Karnaugh map to demonstrate how you would further simplify the expression in part i). iii) Use Switching Algebra to show how you would implement the function obtained in part ii) by using NAND gates only. Provide a circuit diagram in your answer. Show all your working.
1. Simplify the following function using K-Map. F (A, B, C, D) =∑m (0,2,3,5,6,8,9,10,12,14,15)
H(A,B,C,D) = Π(0,5,7,10,14,15) + Σd(4,8,11,13) Derive the minimal SOP form of H using a K-map Derive the minimal POS form of H using a K-map Calculate the literal cost of H1 and H2
4. Consider the function F (A, B, C, D, E) = ∑m(0,2,3,4,5,7,8,11,15,18,19,20,22,23,24,26,27,29,31) + ∑d(6,10,16,21)(Hint: ”d” - don’t (X) care conditions). [3+2+4]i. Obtain the minimal some product expression (SOP) using the K-map (Show your groupings and notifythe implicant, prime implicant, essential prime implicant, non-essential prime implicant) for the functionF.ii. Implement the minimal SOP expression using basic gates (AND - 2 i/p, OR - 2 i/p, NOT - 1 i/p).iii. Implement the minimal SOP expression using only two input NAND gates.

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6. Simplify the following Boolean function by using K map F(A,B,C,D) = Em(0,2,3,5,7,8,10,11,14,15) %3D