EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
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Chapter 6, Problem 18P
A
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The Boolean expression Y = XY + ZX is in the ,
form.
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a. Product-of-Sum
O b. None of the answers
O c. Linear
O d. Sum-of-Products
1. Consider the function of 3 variables specified with the following sum of products (SOP) form.
F(X, Y, Z) = XY'Z'+ X'Y
a) Specify the function with a canonical SOP form. Use minterm numbers.
Minterm numbers can be identified using product terms presented with "0-1-dash" notation.
b) Specify the function with a canonical product of sums (POS) from. Use Maxterm numbers.
c) Minimize the function using K-map: obtain the minimal SOP and POS forms for the function.
Simply the Boolean expressional using K-MapF(A,B,C,D) = Ʃ(1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14)
Chapter 6 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 6 - Prob. 1PCh. 6 - Given: a = 2, b = 3, c = 5. Evaluate the following...Ch. 6 - Given: v = [4 1 2 3 1 2 5 0] and u = [5 1 0 3 3 2...Ch. 6 - Use the vectors y and u from Problem 3. Use...Ch. 6 - Evaluate the following expressions without using...Ch. 6 - Use loops to create a 3 × 5 matrix in which the...Ch. 6 - A symmetric (5 × 5) Pascal matrix is displayed on...Ch. 6 - The average monthly precipitation (in.) for Boston...Ch. 6 - Write a program in a script file that finds the...Ch. 6 - Fibonacci numbers are the numbers in a sequence in...
Ch. 6 - The reciprocal Fibonacci constant is defined by...Ch. 6 - Write a program in a script file that determines...Ch. 6 - The value of x can be estimated by: n=1n2 Write a...Ch. 6 - The value of p can be estimated from the...Ch. 6 - Write a program that generates a vector with 20...Ch. 6 - Write a program that (a) generates a vector with...Ch. 6 - Write a program that asks the user Lo input a...Ch. 6 - A vector is given by x = [4.5 5 16.12 21.8 10.1 10...Ch. 6 - The Pythagorean theorem states that a2+ b2= c2....Ch. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - A list of30 exam scores is: 31, 70, 92, 5, 47, 88,...Ch. 6 - The Taylor series expansion for cos(x) is:...Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - Prob. 25PCh. 6 - Body mass index (BMI) is a measure of obesity. In...Ch. 6 - Prob. 27PCh. 6 - Write a program that determines the change given...Ch. 6 - The concentration of a drug in the body CPcan be...Ch. 6 - Prob. 30PCh. 6 - Write a program in a script file that converts a...Ch. 6 - In a one-dimensional random walk, the position x...Ch. 6 - The Sierpinski triangle can be implemented in...Ch. 6 - Cam is a mechanical device that transforms rotary...Ch. 6 - The overall grade in a course is determined from...Ch. 6 - Prob. 36P
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- Determine the minimized Boolean expression of the following in sum-of-products and in product-of-sums form using Karnaugh map method and Quine-McCluskey Tabular Method. (4 answers in each number) Z = A' B C' + A B' C' + A B C + A' B' C' F(A,B,C,D,E,F) = ∑ ( 6, 9, 13, 18, 27, 29, 41, 45, 57, 61)arrow_forwardSimplify the following functional expression using Boolean algebra and its identities. List the identity used at each step. Q. x(y + z)(x′ + z′)arrow_forwardFind the min SOP and min POS forms using Karnaugh Map for the given POS expression below. F(A,B,C,D) = (A' + B + D') (A + B + D') (A' + B' + C + D) (A' + B' + C' + D ) a) Is it possible to design a circuit that will perform this function with a 4x1 multiplexer? If designable, draw the circuit. b) Can this function be performed using 2 X 4 decoders and an OR gate? If possible, draw the circuit. c) Draw the circuits you designed using Altera Program (Quartus or MaxPlus II) and prove that it works with waveform.arrow_forward
- Using K - Map , simplify the following Boolean expression : X = ( 5,8,9,11,14 )arrow_forward● HW: Simplify the following Boolean expressions using Karnaugh map : (a) A.B.C+ A.B.C+A.B.C+ A.B.C+A.B.C+A.B.C+A.B.C+A.B.C; (b) (A+B+C).(A+B+C).(C+D).(C+D+E).arrow_forwardQuestion 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 = ...arrow_forward
- Consider the following Boolean equation: Y = ABC + BC + BC Implement Y using an 2:1 MUX. Choose the select line S to be C. Give the values of inputs Do and D1 Do = C D1 = Carrow_forwardCommutation Algebra. Given the following function: (Image)Using Boolean algebra find the minimum function of the function above.I clearly indicated the steps used when simplifying. Also, draw the circuit of the given initial function and the resulting circuit obtained.arrow_forwardZ=(A+B)(A+B') Simplify this using boolean identities and make a logical diagram for it.arrow_forward
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