4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map.Derive the fully minimized SOP logic expression form of F.cd ab 00011110000001011001111011100011

The given Karnaugh Map (K-map) into a Sum of Products (SOP) expression. Step 1: Understanding the…

Answered: 4. [15 pts] A logic function F of four…

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

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6. Given the function F = [I(0, 1, 4, 6, 7,8,9) + Md(5, 10, 11,12) a. [10] Write the equation for F in reduced SOP form b. [10] Draw the circuit using AND gates, OR gates and INVERTERS. 0 c. [10] Draw the circuit using only NAND gates and INVERTERS.
6. Given the function F = [I(0, 1, 4,6, 7,8,9) + Md(5,10, 11, 12) a. [10] Write the equation for F in reduced SOP form b. [10] Draw the circuit using AND gates, OR gates and INVERTERS.
a. [10 pts] Write a Boolean equation in sum-of-products canonical form for the truth table shown below: A B C Y 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 a. [10 pts] Minimize the Boolean equation you obtained in (a). b. [10 pts] Implement, using Logisim, the simplified logic circuit. Include an image of the circuit in your report.
(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.
(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
(Practice) Determine the values of the following integer expressions: a.3+46f.202/( 6+3)b.34/6+6g.( 202)/6+3c.23/128/4h.( 202)/( 6+3)d.10( 1+73)i.5020e.202/6+3j.( 10+3)4
(Civil eng.) The maximum load that can be placed at the end of a symmetrical wooden beam, such as the rectangular beam shown in Figure 2.20, can be calculated as the following: L=S1dc L is the maximum weight in lbs of the load placed on the beam. S is the stress in lbs/in2. I is the beam’s rectangular moment of inertia in units of in4. d is the distance in inches that the load is placed from the fixed end of the beam (the “moment arm”). c is one-half the height in inches of the symmetrical beam. For a 2” × 4” wooden beam, the rectangular moment of inertia is given by this formula: I=baseheight3=12=24312=10.674 c=(4in)=2in a. Using this information, design, write, compile, and run a C++ program that computes the maximum load in lbs that can be placed at the end of an 8-foot 24 wooden beam so that the stress on the fixed end is 3000lb/in2. b. Use the program developed in Exercise 9a to determine the maximum load in lbs that can be placed at the end of a 3” × 6” wooden beam so that the stress on the fixed end is 3000lb/in2.
(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.
(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.”
(For review) List the three repetition statements provided in C++.
(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.
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4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map. Derive the fully minimized SOP logic expression form of F. cd ab 00 01 11 10 00 0 0 0 1 01 1 0 0 1 11 1 0 1 1 10 0 0 1 1