C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Chapter 1.4, Problem 4E
Program Plan Intro

To determine the total resistance of the resistors which are connected in series.

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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.
(Ouestion Number (3) a) Apply Boolean algebra to simplify the following expressions: Y = (ABCD + ABCD+ABCD + ABCD)+D b) Develop the Boolean equation for the following logic network and develop the truth table, néxt simplify it and develop RLL circuit for the same Boolean equation: A B 2xy 2x

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