Karnaugh Maps 1555.21 Simplify the following expression first by using a nap and then by using Booleanalgebra. Uise the niap as a guide to determine which theorenis to apply to whichterms for the algebraic simplification.F = a'b'c' + a'c'd + bcd + abc + ab'5.22 Find all prime implicants and all mininum sum-of-products expressions for each ofthe following functions.(a) f(A.B,C.D) = I im(4, 11, 12, 13, 14) + E d(5,6,7,8,9, 10)(b) f(A,B,C,D) = Em(3,11, 12, 13, 14) + E d(5,6,7,8,9. 10)(c) f(A,B.C.D) = I m(1, 2,4, 13, 14) + £ d(5,6,7,8,9, 10)(d) f(A,B,C.D) = E m(4, 15) +2 d(5.6, 7,8,9, 10)(e) (A,B,C,D) = I m(3,4, 11, 15) + E d(5, 6,7,8,9, 10)() F(A,B,C,D) = Im(4) +E d(5,6, 7,8,9, 10, 11, 12, 13, 14)(g) fA,B,CD) = £ m(4, 15) +E d(0, 1, 2,5,6, 7,8, 9, 10)5.23 For each function in Problem 5.22, find all minimum product-of-sums expressions.5.24 Find the minimum sum-of-products expression for(a) E m(0,2,3,5,6,7,11, 12, 13)( ) Σmf2 ,4, 8 ) + Σd(0,3,7)(c) E m(1,5,6,7, 13) + E d(4,8)(d) f(w, x, y, z) = £ m(0,3,5, 7,8,9, 10, 12, 13) + E d(1,6, 11, 14)(e) П мо, 1,2,5,7,9, 11) - П D(4, 10, 13)5.25 Work Problem 5.24 for the following:(a) f(a, b, c, d) = E m(1,3,4,5,7,9,13, 15)(b) f(a b. c, d) = II M(0,3,5, 8,11)(c) f(a, b, c, d) = E m(0,2, 6, 9, 13, 14) + £ d(3,8, 10)(d) f(a, b, c, d) = II M(0,2,6, 7,9, 12, 13) · II D(1,3,5)5.26 Find the minimum product of sums for the following Underline the essential primeimplicants in your answer.(a) II M(0,2,4,5,6,9, 14) • II D(10, 11)(6) Σm( 1,3,8,9, 15) + Σ d6,7,12 )5.27 Find a minimum sum-of-products and a minimum product-of-sums expression foreach function:(a) f(A, B, C, D) = II M(0,2, 10, 11, 12, 14, 15) • II D(5, 7)(b) f(w,x, y. z) = E m(0,3,5,7,8,9, 10, 12,13) +E d(1,6,11, 14)5.28 A logic circuit realizes the function F(a, b, , d) = a'b' +a'cd + ac'd+ ab'd'.Assumingthat a = c never occurs when b = d = 1, find a simplified expression for F.5.29 Given F= AB'D' + A'B + A'C+ CD.(a) Use a Karnaugh map to find the maxterm expression for F (express youranswer in both decimal and algebric notation).الم مسوحة ضوئيا ب CamScan ner

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5.21 Simplify the following expression first by using a map and then by using Boolcan algebra. Use the nuap as a guide to determine which theorenis to apply to which terms for the algebraic simplification. F = a'b'c' +a'c'd + bed + abc + ab'

5.21 Simplify the following expression first by using a map and then by using Boolcan algebra. Use the nuap as a guide to determine which theorenis to apply to which terms for the algebraic simplification. F = a'b'c' +a'c'd + bed + abc + ab'

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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Draw a block diagram given the function shown below: a. F = A B + C b. F=XY+X'Y + Y' Z C. (A + B') (A+B+C) (B' + C')
ab'd' + abc + a'bd + a'b'c' + b'c'd' + a'c'd Of the 6 terms in the expression above, how many of them are redundant? (Enter a single numerical digit.)
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Q4: Use a Karnaugh map to minimize the following standard SOP expression: ABC + ABC + ABC + ABC + ABC
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