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...

See similar textbooks

Similar questions

Q5) Minimize the following Boolean expression to its simplest form and also draw the circuit for minimized expression. F = ABC'D' + ABC'D + AB'C'D + ABCD + AB'CD + ABC'D' + AB'C D'
Simplify the boolean function using K-map for X1 and X2 together with the don’t care conditions D1 and d2 and complete the table given below. Express the simplified function in product-of-sums form. Specify the corresponding values for don’t care.(Show the prime implicants and essential prime implicants)
Question 1Write boolean expression E(a,b,c) = (a + b'c)(b+c') into complete sum-of-products form.Mark it like this:1. After De morgan lawE = ...2. After Distributive lawE = ...3. After Commutative lawE = ...4. After Idempotent lawE = ...5. After complement lawE = ...6. Complete sum-of-products form.E = ...
Question 1Write boolean expression E(a,b,c) = (a + b'c)(b+c') into complete sum-of-products form.Mark it like this:1. After De morgan lawE = ...2. After Distributive lawE = ...3. After Commutative lawE = ...
Q1. Convert following numbers in given radix system: a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and Octal Q2. Using two’s complement representation, solve: a. 101110001 – 1111111001 b. 1010101010 – 1010010101
Simplifying Boolean Equations –going from Canonical POS to minimized SOP form: Write Boolean equations for the functions from Table (a) (b) in canonical POS form . Then transform that equation into minimized SOP form using Boolean axioms and theorems. Show your work and list which axiom or theorem you used in each step. Your final equations should be in minimized SOP form. There is part a for table a and part b for table b Please list in detail each step and the theorems used.
Simplify the function using a K-Map. Provide the simplified expression and the grouped k-map
Q1: Simplify following expression and provide circuit diagram before and after simpliftcation Using Boolean Rules. AB + AC + Ã B c AB + A(B + C) + B(B + C)
3-) Analyze the circuits below and write the Boolean equation for each Part. Simplify the equation using Boolean algebra and determine if they function as an XOR, XNOR or neither. A): Dor B): XD XD . D
Using DeMorgan's theorem, express the function F=A'BC + AC' + A'B with only OR and complement operations with only AND and complement operations
Convert combinational circuits to Booleans functions with applying K-map on extracted terms to get the optimized versions of both of them.
For the K-map in the given figure, the simplified boolean expression is _. K-Map A. B'CD + ABC B. A'C' + A'D' + ABC C. ABD + BC'D + ACD D. BC'D + ACD