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) = £, 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.%3D%3D5.29 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).

Answered: Image /qna-images/answer/621d4ff1-6ff3-4174-9bc1-1dda880c10f8.jpg

5.27 Find a minimum sum-of-products and a minimum product-of-sums expression for each 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) = £ m(0, 3, 5, 7, 8, 9, 10, 12, 13) + 2 d(1,6, 11, 14) %3D

5.27 Find a minimum sum-of-products and a minimum product-of-sums expression for each 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) = £ m(0, 3, 5, 7, 8, 9, 10, 12, 13) + 2 d(1,6, 11, 14) %3D

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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Question

5.27 Find a minimum sum-of-products and a minimum product-of-sums expression for
each 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) = £, m(0,3,5, 7,8,9, 10, 12, 13) + 2 d(1,6, 11, 14)
%3D
5.28 A logic circuit realizes the function F(a, b, c, d) = a'b' + a'cd + ac'd + ab'd'. Assuming
that a = c never occurs when b= d = 1, find a simplified expression for F.
%3D
%3D
5.29 Given F = AB'D' + A'B + A'C + CD.
(a) Use a Karnaugh map to find the maxterm expression for F (express your
answer in both decimal and algebric notation).

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