2) Simplify the following Boolean statements using the identities on page 141. You do not need...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
2) Simplify the following Boolean statements using the identities on page 141. You do not need to specify which identities you are using, but show each simplification as demonstrated in the PowerPoint notes. a. (W+Y+Z) (Y » Z) + (W + 8) +W*X+X*Z K b. (A + B) (A + C + D) (B + D) + A + B + (C+D) * Identity Name Identity Law Null (or Dominance) Law Idempotent Law Inverse Law Commutative Law Associative Law Distributive Law Absorption Law DeMorgan's Law Double Complement Law AND Form 1X = X OX = 0 XX = X XX' = 0 xy = yx (xy)z = x(yz) x + (yz) = (x+y)(x + z) x(x + y) = x (xy)' = x² + y X" = = X OR Form 0 +X = X 1 + x = 1 X+X=X X+X' = 1 x+y = y + x (x + y) + z = x + (y + z) x(y + z) = xy + xz x + xy = x (x+y)' = x'y 2) Simplify the following Boolean statements using the identities on page 141. You do not need to specify which identities you are using, but show each simplification as demonstrated in the PowerPoint notes. a. (W+Y+Z) (Y » Z) + (W + 8) +W*X+X*Z K b. (A + B) (A + C + D) (B + D) + A + B + (C+D) * Identity Name Identity Law Null (or Dominance) Law Idempotent Law Inverse Law Commutative Law Associative Law Distributive Law Absorption Law DeMorgan's Law Double Complement Law AND Form 1X = X OX = 0 XX = X XX' = 0 xy = yx (xy)z = x(yz) x + (yz) = (x+y)(x + z) x(x + y) = x (xy)' = x² + y X" = = X OR Form 0 +X = X 1 + x = 1 X+X=X X+X' = 1 x+y = y + x (x + y) + z = x + (y + z) x(y + z) = xy + xz x + xy = x (x+y)' = x'y
Expert Answer:
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
Students also viewed these operating system questions
-
In an applied research context you do not need to explain the relationships between the variables in your conceptual model. Discuss this statement.
-
Simplify the following Boolean expressions. (a) xy + (x + y) + y (c) yz + wx + z + [wz(xy + wz)] x y+ y +z)
-
In an applied research context you do not need to explain the relationships between the variables in your conceptual model. Discuss this statement. (2-3 paragraphs).
-
Jack Williams works in a very active department called purchasing. He works with store managers, marketing, and supply companies. The people in his department try to have the right product, in the...
-
Use the computer to generate 500 samples, each containing n = 25 measurements, from a population that contains values of x equal to 1, 2, 48, 49, 50. Assume that these values of x are equally likely....
-
In the event of a pandemic or other catastrophic calamity, the focus should be on machines that can conduct repetitive ordinary chores independently with little or no human intervention. As the Head...
-
Table 11-2 lists the various activities performed in the expenditure cycle and the journal entries, documents, data, and control issues associated with them. Complete each of the cell entries in this...
-
Jan Spears opened her decorating company on January 1, 2008. During the first month of operations, the following transactions occurred: 1. Performed services for country club clients. On January 31,...
-
2 0 Part 2 of 4 16.66 points eBook References Required information i [The following information applies to the questions displayed below.) The Platter Valley factory of Bybee Industries manufactures...
-
Crane Library, a nonprofit organization, presented the following statement of financial position and statement of activities for its fiscal year ended February 28, 2024. Assets Current Assets Cash...
-
Consider business analytics. It is all about the quality and quantity of the data. No data means no decisions. Bad data means you may make bad decisions. You work for a business that sells surfboards...
-
Solve for if -9 + 5cos 0 = -4 and 0 < 0 < 2.
-
Como Bank is a US bank. The bankhas been lending abroad and borrowing in the USmarkets,thus the bank is exposed to foreign exchange risk. In a recent transaction, the bank borrowed US$20 million via...
-
mework Question 10, The total amount paid was $ (Round to the nearest cent as needed.) Points: An accountant for a corporation forgot to pay the firm's income tax of $725,636.11 on time. The...
-
Suppose there was a risk-free asset over this five-year period that paid 4% annually. If you invested $100 in Count Inc. stock and $100 in the risk-free asset at the beginning of 2000 and followed a...
-
The pressure distribution on a rectangular steel plate supporting a load is modelled by the function: where x and y are in meters. (a) Calculate the gradient of the pressure function. Hence,...
-
You're the CEO of an investment bank's equities research team. Your five analysts are each trying to find the expected total return over the next year of shares in an mining company. The mining firm...
-
Determine the resultant moment produced by the forces about point O. 0.25 m 0.125 m, 0 0.3 m- 60 F = 500 N F = 600 N
-
(a) For n 0, let Bn denote the number of partitions of {1, 2, 3, . . . , n}. Set B0 = 1 for the partitions of 0. Verify that for all n 0, [The numbers B1,i 0, are referred to as the Bell numbers...
-
Determine whether or not each of the following relations is a function. If a relation is a function, find its range. (a) {(x, y)\x, y Z, y = x2 + 7}, a relation from Z to Z (b) {(x, y)|x, y R, y2 =...
-
Consider drawing n semicircles on and above a horizontal line, with no two semicircles intersecting. In parts (a) and (b) of Fig. 1.10 we find the two ways this can be done for n = 2; the results for...
-
Taylor Company makes a variety of furniture. It is organized in two divisions, Office and Home. Home Division normally sells to outside customers but, on occasion, also sells to the Office Division....
-
Petes Taxi & Limo provides transportation services in and around Centerville. Its profits have been declining, and management is planning to add a package delivery service that is expected to...
-
Define cash equivalents and give three examples.
Study smarter with the SolutionInn App