C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Chapter 3.4, Problem 5E
Program Plan Intro
- The following variables are used in this program:
- m1is a floating type variable to store the mass placed on the first piston.
- m2is a floating type variable to store the mass placed on the second piston.
- r1is a floating type variable to store the radius of the piston supporting mass m1.
- r2is a floating type variable to store the radius of the piston supporting mass m2.
- pow()function is used to calculate the power of a number.
Program Description:The main purpose of the program is to find the distance between the two points with the given coordinates. The given formula to calculate the distance is shown below:
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P5. (
Boolean Algebra Circuit.
(1)
Transform the following Boolean equation in SOP form to POS form:
Y = F(A, B, C, D) = ĀB + CD
(2)
Expand the following Boolean equation into a sum of minterms, where each minterm should have the
three input variables in their original or complement forms.
Y = F(A, B, C) = AC + AB
(3) Simplify the following Boolean equations using Boolean theorems. For each step in the minimization
process, show which theorem or axiom or method or definition is used to get there.
Y = ABC + B + AC + B
(4)
Transform the following Boolean equation to an equation that only has 2-input NAND gate(s) and/or NOT
gate(s). You are not required to draw a schematic.
Y = A + B + C
EXAMPLE: The sum of any two even integers is even.
Answer:
Proof. (direct) Suppose x and y are even integers. By definition of even, let x = 2k and y = 2j for some
integers j and k. Then,
x+y=2k+2j = 2(k + j)
Note that k+j is an integer because it is the sum of integers. Therefore, by definition of even, x + y is
even.
EXAMPLE: The sum of any two even integers is even.
Answer:
Proof. (direct) Suppose x and y are even integers. By definition of even, let x = 2k and y = 2j for some
integers j and k. Then,
x+y=2k+2j = 2(k + j)
Note that k+j is an integer because it is the sum of integers. Therefore, by definition of even, x + y is
even.
Chapter 3 Solutions
C++ for Engineers and Scientists
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