DISCRETE MATH.+ITS APPLICATIONS CUSTOM
8th Edition
ISBN: 9781307447118
Author: ROSEN
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12.3, Problem 4E
In Exercises 1—5 find the output of the given circuit.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. Consider the following input-output table where P, Q, and R are inputs and S is the
What is the output of the given circuit?
Irverter
OR gate
AND gate
O a l-qn(qmp)]^(qvp)
O b. [qr-(qvp)]^(qvp)
o . [-qn(qvp)]^(qvp)
d. [-qn(qvp)]v(qvp)
Sec 7.5 1
A girl has 7 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear? (Assume that each item matches all the others, so she is willing to wear any combination.)
Chapter 12 Solutions
DISCRETE MATH.+ITS APPLICATIONS CUSTOM
Ch. 12.1 - Prob. 1ECh. 12.1 - Find the values, if any, of the Boolean...Ch. 12.1 - a) Show that(1.1)+(0.1+0)=1 . b) Translate the...Ch. 12.1 - a) Show that(10)+(10)=1 . b) Translate the...Ch. 12.1 - Use a table to express the values of each of these...Ch. 12.1 - Use a table to express the values of each of these...Ch. 12.1 - Use a 3-cubeQ3to represent each of the Boolean...Ch. 12.1 - Use a 3-cubeQ3to represent each of the Boolean...Ch. 12.1 - What values of the Boolean...Ch. 12.1 - How many different Boolean functions are there of...
Ch. 12.1 - Prove the absorption lawx+xy=x using the other...Ch. 12.1 - Show thatF(x,y,z)=xy+xz+yz has the value 1 if and...Ch. 12.1 - Show thatxy+yz+xz=xy+yz+xz .Ch. 12.1 - 3Exercises 14-23 deal the Boolean algebra {0, 1}...Ch. 12.1 - Exercises 14-23 deal with the Boolean algebra {0,...Ch. 12.1 - Prob. 16ECh. 12.1 - Exercises 14-23 deal with the Boolean algebra {0,...Ch. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Exercises 4-3 deal with the Boolean algebra {0, 1}...Ch. 12.1 - Prob. 24ECh. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prove or disprove these equalities. a)x(yz)=(xy)z...Ch. 12.1 - Find the duals of these Boolean expressions. a)x+y...Ch. 12.1 - Prob. 29ECh. 12.1 - Show that ifFandGare Boolean functions represented...Ch. 12.1 - How many different Boolean functionsF(x,y,z) are...Ch. 12.1 - How many different Boolean functionsF(x,y,z) are...Ch. 12.1 - Show that you obtain De Morgan’s laws for...Ch. 12.1 - Show that you obtain the ab,sorption laws for...Ch. 12.1 - In Exercises 35-42, use the laws in Definition 1...Ch. 12.1 - In Exercises 35-42, use the laws in Definition to...Ch. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - In Exercises 35-42, use the laws in Definition 1...Ch. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.2 - Find a Boolean product of the Boolean...Ch. 12.2 - Find the sum of products expansions of these...Ch. 12.2 - Find the sum-of-products expansions of these...Ch. 12.2 - Find the sum-of-products expansions of the Boolean...Ch. 12.2 - Find the sum-of -products expansion of the Boolean...Ch. 12.2 - Find the sum-of-products expansion of the Boolean...Ch. 12.2 - Another way to find a Boolean expression that...Ch. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Another way to find a Boolean expression that...Ch. 12.2 - Prob. 11ECh. 12.2 - Express each of these Boolean functions using the...Ch. 12.2 - Express each of the Boolean functions in...Ch. 12.2 - Show that a)x=xx . b)xy=(xy)(xy) . c)x+y=(xx)(yy)...Ch. 12.2 - Prob. 15ECh. 12.2 - Show that{} is functionally complete using...Ch. 12.2 - Express each of the Boolean functions in Exercise...Ch. 12.2 - Express each of the Boolean functions in Exercise...Ch. 12.2 - Show that the set of operators{+,} is not...Ch. 12.2 - Are these sets of operators functionally complete?...Ch. 12.3 - In Exercises 1—5 find the output of the given...Ch. 12.3 - In Exercises 1—5 find the output of the given...Ch. 12.3 - In Exercises 1—5 find the output of the given...Ch. 12.3 - In Exercises 1—5 find the output of the given...Ch. 12.3 - In Exercises 1—5 find the output of the given...Ch. 12.3 - Construct circuits from inverters, AND gates, and...Ch. 12.3 - Design a circuit that implements majority voting...Ch. 12.3 - Design a circuit for a light fixture controlled by...Ch. 12.3 - Show how the sum of two five-bit integers can be...Ch. 12.3 - Construct a circuit for a half subtractor using...Ch. 12.3 - Construct a circuit for a full subtractor using...Ch. 12.3 - Use the circuits from Exercises 10 and 11 to find...Ch. 12.3 - Construct a circuit that compares the two-bit...Ch. 12.3 - Construct a circuit that computes the product of...Ch. 12.3 - Use NAND gates to construct circuits with these...Ch. 12.3 - Use NOR gates to construct circuits for the...Ch. 12.3 - Construct a half adder using NAND gates.Ch. 12.3 - Construct a half adder using NOR gates.Ch. 12.3 - Construct a multiplexer using AND gates, OR gates,...Ch. 12.3 - Find the depth of a) the circuit constructed in...Ch. 12.4 - Prob. 1ECh. 12.4 - Find the sum-of-products expansions represented by...Ch. 12.4 - Draw the K-maps of these sum-of-products...Ch. 12.4 - Use a K-map to find a minimal expansion as a...Ch. 12.4 - a) Draw a K-map for a function in three variables....Ch. 12.4 - Use K-maps to find simpler circuits with the same...Ch. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Construct a K-map for F(x,y,z) =xz + yz+y z. Use...Ch. 12.4 - Draw the 3-cube Q3 and label each vertex with the...Ch. 12.4 - Prob. 11ECh. 12.4 - Use a K-map to find a minimal expansion as a...Ch. 12.4 - a) Draw a K-map for a function in four variables....Ch. 12.4 - Use a K-map to find a minimal expansion as a...Ch. 12.4 - Find the cells in a K-map for Boolean functions...Ch. 12.4 - How many cells in a K-map for Boolean functions...Ch. 12.4 - a) How many cells does a K-map in six variables...Ch. 12.4 - Show that cells in a K-map for Boolean functions...Ch. 12.4 - Which rows and which columns of a 4 x 16 map for...Ch. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Use the Quine-McCluskey method to simplify the...Ch. 12.4 - Use the Quine—McCluskey method to simp1i’ the...Ch. 12.4 - Prob. 24ECh. 12.4 - Use the Quine—McCluskey method to simplify the...Ch. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - show that products of k literals correspond to...Ch. 12 - Define a Boolean function of degreen.Ch. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Explain how to build a circuit for a light...Ch. 12 - Prob. 8RQCh. 12 - Is there a single type of logic gate that can be...Ch. 12 - a) Explain how K-maps can be used to simplify...Ch. 12 - a) Explain how K-maps can be used to simplify...Ch. 12 - a) What is a don’t care condition? b) Explain how...Ch. 12 - a) Explain how to use the Quine-McCluskev method...Ch. 12 - Prob. 1SECh. 12 - Prob. 2SECh. 12 - Prob. 3SECh. 12 - Prob. 4SECh. 12 - Prob. 5SECh. 12 - Prob. 6SECh. 12 - Prob. 7SECh. 12 - Prob. 8SECh. 12 - Prob. 9SECh. 12 - Prob. 10SECh. 12 - Prob. 11SECh. 12 - Prob. 12SECh. 12 - Prob. 13SECh. 12 - Prob. 14SECh. 12 - Prob. 15SECh. 12 - Prob. 16SECh. 12 - How many of the 16 Boolean functions in two...Ch. 12 - Prob. 18SECh. 12 - Prob. 19SECh. 12 - Design a circuit that determines whether three or...Ch. 12 - Prob. 21SECh. 12 - A Boolean function that can be represented by a...Ch. 12 - Prob. 23SECh. 12 - Prob. 24SECh. 12 - Given the values of two Boolean variablesxandy,...Ch. 12 - Prob. 2CPCh. 12 - Prob. 3CPCh. 12 - Prob. 4CPCh. 12 - Prob. 5CPCh. 12 - Prob. 6CPCh. 12 - Prob. 7CPCh. 12 - Prob. 8CPCh. 12 - Prob. 9CPCh. 12 - Given the table of values of a Boolean function,...Ch. 12 - Prob. 11CPCh. 12 - Prob. 12CPCh. 12 - Prob. 1CAECh. 12 - Prob. 2CAECh. 12 - Prob. 3CAECh. 12 - Prob. 4CAECh. 12 - Prob. 5CAECh. 12 - Prob. 6CAECh. 12 - Prob. 7CAECh. 12 - Describe some of the early machines devised to...Ch. 12 - Explain the difference between combinational...Ch. 12 - Prob. 3WPCh. 12 - Prob. 4WPCh. 12 - Find out how logic gates are physically...Ch. 12 - Explain howdependency notationcan be used to...Ch. 12 - Describe how multiplexers are used to build...Ch. 12 - Explain the advantages of using threshold gates to...Ch. 12 - Describe the concept ofhazard-free switching...Ch. 12 - Explain how to use K-maps to minimize functions of...Ch. 12 - Prob. 11WPCh. 12 - Describe what is meant by the functional...
Additional Math Textbook Solutions
Find more solutions based on key concepts
In using the technique of integration by parts, you must carefully choose which expression is u. For each of th...
Calculus Volume 2
9. One of the scatter plots has each student’s homework score for the semester on the x axis and the correspond...
Pathways To Math Literacy (looseleaf)
Let 2n (equally spaced) points on a circle be chosen. Show that the number of ways to join these points in pair...
Introductory Combinatorics
Solve the following differential equations by method (a) or (b) above. y+yy=0. Find a solution satisfying each ...
Mathematical Methods in the Physical Sciences
For Exercises 13–18, write the negation of the statement.
13. The cell phone is out of juice.
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
Use the ideas in drawings a and b to find the solution to Gausss Problem for the sum 1+2+3+...+n. Explain your ...
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- What is the mathematical definition of a transposition?arrow_forwardPart Two: Verify Demorgan's theorem 1. Draw the circuits to implement F1 and F2: F1(A,B,C) = A +B + C F2(A, B,C) = A •B•C 2. Write the Verilog code to describe the above two circuits.arrow_forwardQuestion 10 Malik runs a bakery that sells two kinds of cookies. Matik knows the bakery must make at least 7 and at most 52 trays of the Mint Breezes. The bakery must also make between 10 and 57 trays of the Fluffy Deliciousness. The trays of Mint Breezes take 19 minutes in the oven, while trays of Fluffy Deliciousness require 13 minutes in the oven, The bakery only has 1235 minutes in the oven available. if trays of Mint Breezes generate $2.93 in revenue, and trays of Fluffy Deliciousness generate $1.76, how many trays of the cookies should Malik have the bakery make to get the most revenue? Mint Breezes: Fluffy Deliciousness: Best revenue: Submit Questionarrow_forward
- The Reviews editor for a certain scientific journal decides whether the review for anyparticular book should be short (1–2 pages), medium (3–4 pages), or long (5–6 pages).Data on recent reviews indicates that 60% of them are short, 30% are medium, and theother 10% are long. Reviews are submitted in either Word or LaTeX. For short reviews,80% are in Word, whereas 50% of medium reviews are in Word and 30% of long reviewsare in Word. Suppose a recent review is randomly selected. (a) What is the probability that the selected review was submitted in Word format? (b) If the selected review was submitted in Word format, what are the probabilities ofit being short, medium and long? (You need to find three probabilities)arrow_forwardExercise 10.3.4: Selecting coders for 3 different projects. i About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project?arrow_forwardEXERCISE 3. Assume that 2n tennis player play 2n -1 days in a tournament, playing each day one match against a different other player. Show that it is possible to select a winner every day without selecting the same player twice.arrow_forward
- EXERCISES, CHAPTER 8 1. Consider the following statements: queueType queue; int X, Yi Show what is output by the following segment of code: X = 4; y = 5; queue.addQueue (x); queue.addQueue (y); X = queue.front() ; queue.deleteQueue (); queue.addQueue (x + 5); queue.addQueue (16); queue.addQueue (x); 3): queue.addQueue (y cout << "Queue Elements: "; while (!queue.isEmptyQueue ()) cout << queue.front () << " "; queue.deleteQueue ()7 cout << endl;arrow_forwardIn 2009, the population of the U.S., broken down by regions, was 54.6 million in the Northeast, 66.0 million in the Midwest, 111.8 million in the South, and 70.6 million in the West. The table below shows the population movement during the period 2008–2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.)† To Northeast Midwest South West From Northeast 0.9923 0.0016 0.0042 0.0019 Midwest 0.0018 0.9896 0.0047 0.0039 South 0.0056 0.0059 0.9827 0.0058 West 0.0024 0.0033 0.0044 0.9899 Use matrix inversion and multiplication to estimate the population in each region in 2008. (Round all answers to the nearest 0.1 million.) SEE PICTURE!!!arrow_forwardZane is examining two studies involving how different generations classify specified items as either luxuries or necessities. In the first study, generation A is defined to be people ages 18–29. The second study defined generation A to be people ages 22–33. Zane notices that the first study was conducted in 2002 while the second one was conducted in 2006 (a) According to the 2002 study, what are the birth years of generation A? The Sand Canyon Archaeological Project, edited by W. D. Lipe and published by Crow Canyon Archaeological Center, contains the stem-and-leaf diagram shown below. The study uses tree rings to accurately determine the year in which a tree was cut. The figure gives the tree-ring-cutting dates for samples of timbers found in the architectural units at Sand Canyon Pueblo. The text referring to the figure says, "The three-digit numbers in the left column represent centuries and decades A.D. The numbers to the right represent individual years, with each number derived…arrow_forward
- A researcher wondered if attainment within six years among students who receive grants as sart of their educational funding (Group 1) was lower than attainment within six years among students who did not receive grants as part of their educational funding (Group 2). Atainment is defined as whether the student earned the degree or certificate that heishe set out to eam upon enrolment. Complete parts (a) through (c) below. A. 2 1 Cannot be determined (c) In part (b), we learned that two groups (students who receive grants and students who do not receive grants) are being compared. In addition, the sampling method is independent. State the null and altemative hypotheses for this test Hg.arrow_forwardsection 2-4. In a math 105 class of 32 students, a survey showed that 20 students used the ALEKS etext at least once, 10 used a video at least once, and 7 used both the etext and a video at least once. 1. How many students used only the etext? wimdue bn E RIS s1 to Aon ditiw on navig 19 yoo Jort bos VIEK2"arrow_forwardCompute C4,4.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY