Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
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)
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...
See similar textbooks
icon
Related questions
Question
5.21 Simplify the following expression first by using a niap 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' 5.22 Find all prime implicants and all miniumun sum-of-products expressions for each of the 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 prime implicants 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 for each 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) %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. 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).
Transcribed Image Text:5.21 Simplify the following expression first by using a niap 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' 5.22 Find all prime implicants and all miniumun sum-of-products expressions for each of the 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 prime implicants 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 for each 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) %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. 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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Discrete-Time Fourier Transform (DTFT)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS