9.Identify the Idempotent Law for AND and OR.AND: xy = yx and OR: x + y = y + xAND: xx¹ = 0 and OR: x + X' = 1AND: 1x = x and OR: 0 + x = xAND: xx = x and OR: x + X = X

The Idempotent Laws in Boolean algebra state that applying the AND operation (conjunction) to a…

Answered: 9. Identify the Idempotent Law for AND…

9. Identify the Idempotent Law for AND and OR. AND: xy yx and OR: x + y = y + x AND: xx¹ = 0 and OR: x + x² = 1 AND: 1x = x and OR: 0 + x = x AND: xxx and OR: x + x = x

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section7.5: Case Studies

Problem 15E

See similar textbooks

Related questions

Q: a. Using the theorems of Boolean algebra, prove the following identity: (A+ A B) (A C+ A C (A+B))…

Q: (g) the second-largest possible value of and (h) the smallest (that is, most negative) possible…

A: G) Second largest value for l=1 and m1=0 (-1,0,1) second largest is 0 only so COS θ =…

Q: Use the laws of Boolean algebra to simplify the following Boolean expressions : (a) yx[x+(xxy)] (b)…

A: Boolean algebra is an area of mathematics in which the variables' values are the truth values true…

Q: a) A computer can only store samples of discrete-time signals. TRUE / FALSE b) A discrete-time…

A: Dear Student, The answer to your question is given below -

Q: Let F=xy'+xz'+z. Use Boolean algebra to prove that F=xtx

A: Given : F = xy' + xz' + z now, simplifying F using laws of boolean algebra: laws using to simplify…

Q: 1) Write a Boolean equation in sum-of-products canonical form for each of the following five truth…

A: SOLUTION - (A)

Q: 2. (a) Compute and simplify f = b'c(a+b)'(ab'c + a)'(a'c + b) (b) Prove or disprove that in any…

A: (a) To compute and simplify the expression f = b'c(a + b)'(ab' c + a)'(a'c + b): First, let's…

Q: Given infix expression as follows ((x + y) ∗ z) - w What does the expression in the form of…

A: To solve above infix expression to postfix notation we need to understand some rules for that, the…

Q: Every hardworking student who attends his exams will pass Every student who does his homework and…

A: a. ∀x (Student(x) ∧ Hardworking(x) ∧ AttendExam(x) → Pass(x))b. ∀x (Student(x) → (Hardworking(x) ↔…

Q: How do you describe the concept of virtual memory, which enables two programs to execute in parallel…

A: A business owner uses the virtual memory system on a computer to run numerous apps at once. The…

Q: a- Simplify the following Boolean functions F1 and F2. b- Find the complement of F1 and F2 X008 0 1…

A: Siplification of F1:K map:Simplified Boolean expression:F1(x, y, z) = x'y'z' + yzSiplification of…

Q: 4. coth(inf) is equal to NAN infinity 1

A: 1) coth(x) returns the hyperbolic tangent of the elements of x. It ialso defined as ratio of…

Q: 7. (a) Prove with Boolean algebra that (x + y) + (y · x') = x + y. Give a reason for each step in…

A: The given boolean expression is, x + y + y.x' = x + x'.y + y =x + (x' + 1)y = x + 1.y [ OR with 1 is…

Q: 1. Use Karnaugh Maps to simplify the following Boolean Expressions c) F=ABC+ABC+ABC+ABC+ABC+ABC d)…

A: Solving the given expression using K-map.

Q: 3. (1 pt) Simplify the Boolean function using K-map. AB 00 01 11 10 1 1 1 1

A: After simplify the Boolean function usin k map answer is A'B+B'C+A'C

Question

9.
Identify the Idempotent Law for AND and OR.
AND: xy = yx and OR: x + y = y + x
AND: xx¹ = 0 and OR: x + X' = 1
AND: 1x = x and OR: 0 + x = x
AND: xx = x and OR: x + X = X

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Explanation

VIEW

Step 3: Explanation of incorrect options:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fundamentals of Boolean Algebra and Digital Logics

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

(For thought) a. A token of a computer language is any sequence of characters, with no intervening characters or white space, that taken as a unit has a unique meaning. Using this definition of a token, determine whether escape sequences, function names, and the keywords listed in Table 2.1 are tokens of the C++ language. b. Discuss whether adding white space to a message alters the message and whether messages can be considered tokens of C++. c. Using the definition of a token in Exercise 4a, determine whether the following statement is true: “Except for tokens of the language, C++ ignores all white space.”
(Chemistry) a. Determine the final units of the following expression, which provides the molecular weight of 1.5 moles of hydrogen peroxide: 1.5moles34.0146grams/mole b. Determine the final units of the following expression, which provides the molecular weight of 5.3 moles of water: 5.3moles18grams/mole
(Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.
(Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.
(Practice) For the following correct algebraic expressions and corresponding incorrect C++ expressions, find the errors and write corrected C++ expressions: Algebra C++ Expression a.(2)(3)+(4)(5)(2)(3)+(4)(5) b. 6+1826+18/2 c. 4.512.23.1S4.5/12.23.1 d. 4.6(3.0+14.9)4.6(3.0+14.9) e. (12.1+18.9)(15.33.8)(12.1+18.9)(15.33.8)
(Oceanography) The pressure, P, exerted on an underwater object can be determined by this formula: P=gh is the density of water, which is 1.94slug/ft3 . g is the acceleration caused by Earth’s gravity, which is 32.2ft/sec2. h is the object’s depth in the water in feet. a. Determine the units of P by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for pressure listed in Table 1.1. b. Determine the pressure on a submarine operating at a depth of 2500 feet.
(Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per minute (rpm). Determine the conversion factors that can be used to convert rpm to frequency in hertz (Hz), given that 1rotation=1cycle,1minute=60seconds,and1Hz=1cycle/sec. b. Using the conversion factors you determined in Exercise 7a, convert 2000 rpm into hertz.
(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stack
(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.
4. Repeat Programming Exercise 3 by declaring numl, num2, and num3, and average of type double. Store 75.35 into numl, -35.56 into num2, and 15.76 into num3.
(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
(Civil eng.) Modify the program written for Exercise 9 to determine the maximum load that can be placed at the end of an 8-foot I-beam, shown in Figure 2.21, so that the stress on the fixed end is 20,000lbs/in2. Use the fact that this beam’s rectangular moment of inertia is 21.4 in4 and the value of c is 3 in.