5.21 Simplify the following expression first by using a niap and then by using Booleanalgebra. Use the nap as a guide to determine which theorens 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 miniumun sum-of-products expressions for each ofthe following functions.(a) f(A,B,C,D) = E n(4, 11, 12, 13, 14) + £ d(5,6,7, 8, 9, 10)(b) (A,B,C,D) = L m(3, 11, 12, 13, 14) + £ d(5, 6,7,8, 9. 10)(c) (A,B,C,D) = £ m(1,2,4, 13, 14) + d(5,6, 7,8, 9, 10)(d) (A,B,C,D) = m(4, 15) + E d(5, 6, 7,8, 9, 10)(e) (A,B,C,D) = £ m(3, 4, 11, 15) + E d(5,6, 7,8, 9, 10)() f(A,B,C,D) = L m(4) + E d(5, 6, 7,8,9, 10, 11, 12, 13, 14)(g) RA,B,C,D) = £ 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-sunıs expressions.5.24 Find the minimum sum-of-products expression for(a) E m(0,2, 3, 5, 6, 7, 11, 12, 13)( b) Σm(2 4 8) + Σ d10, 3, 7)(c) E m(1,5,6, 7, 13) + £ 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 м(0, 1,2.5, 7, 9, 11) - ПD(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) = £ 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.(а) П М(0,2, 4,5,6, 9, 14) - П D(10, 11)(b) E m(1,3,8,9, 15) + 2 d(6,7, 12)5.27 Find a minimum sum-of-products and a minimum product-of-sums expression foreach function:(a) f(A, B, C, D) = I M(0,2, 10, 11, 12, 14, 15) • II D(5,7)(b) f(w, x, y, z) = 2 m(0, 3,5, 7,8,9, 10, 12, 13) + 2 d(1,6, 11, 14)%3D5.28 A logic circuit realizes the function F(a, b, c, 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).

Note: As per the guidelines will be solving only 1st question. For others please repost Given…

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

5.21 Simplify the following expression first by using a map and then by using Boolean algebra. Use the nap as a guide to determine which theorens to apply to which terms for the algebraic simplification. F = a'b'c' +a'c'd + bcd + 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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