Please help me find the solutions for each of the problems below and attached.

Logic:

Using a truth table to prove that A*(B+C) =A*B + A*C

Consider the * operator to be the equivalent of _____ and the + operator to be equivalent to ___.

State the number of distinct variables____
State the number of operations_____
The truth table will have __ rows and ___ column

Construct the truth table to determine whether the proposition are equivalent.

Functions, graphs and equations
1.Do the data in the following table represent a function if
a) the input is the person and the output is the person's height
b)the input is the height and the output is the person.

in each case, you must justify your answer with some explanation.

Person David Gail Lauren Peter Eric
Height 6'4 5'6" 4' 3'2" 6'4"

Please see the attachment for the remaining problems. I appreciate your help and assistance.

Please see attached for the solution to the posted problems.

Thanks for using Brainmass.

Logic:

Using a truth table to prove that A*(B+C) =A*B + A*C

Consider the * operator to be the equivalent of _____ and the + operator to be equivalent to ___.
Answer: * is AND, while + is OR.
State the number of distinct variables____
Answer: 3

State the number of operations_____
Answer: 2

The truth table will have __ rows and ___ column
Answer: 8 rows and 4 columns (3 for inputs and 1 for output)

Construct the truth table to determine whether the proposition are equivalent. ...

Solution Summary

Truth tables are used to prove a function. Equivalent operators are considered.This posting contains the solution to the given problems.

Math.floor may be used to round a number to a specific decimal place. The statement
y = Math.floor( x * 10 + 0.5 ) / 10;
rounds x to the tenths position (i.e., the first position to the right of the decimal point).
The statement
y = Math.floor( x * 100 + 0.5 ) / 100;
rounds x to the hundredths position (i.e., the se

Determine the relationship between the two logic expressions.
Please see attached MS Word file for the complete program, in order to answer which of the following relationships is true.
A. f= g+x1
B. f= g
C. f= g + x2
D. none of the above

Inputs Xi and Yi of each full adder in an arithmetic circuit have digital logic specified by the Boolean functions
Xi = Ai
Yi = B'iS + Bi C'in
where S is a selection variable, Cin is the input carry, and Ai and Bi are input data for stage i.
(a) Draw the logic diagram for the 4-bit circuit, using full adders and

Question: The outputs of two "NAND" gates are connected to the inputs of an "Exclusive Or" gate. Each of the "NAND" gates has one input at a logic high level, and the other input at a logic low level. What is the output of the "Exclusive Or" gate?
a) Logic high
b) Logic low
c) Logic low, unless the output is "open collecto

Logic & Set Theory; Boolean Algebra; Relations & Functions
1. How do we distinguish relations from functions?
2. What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why it is or is not any of these. What othe

Prepare a 3-input, 5 bit multiplexer that fits in a 24-pin IC package. Write the truth table and draw a logic diagram and logic symbol for the multiplexer.

Question 1.
Translate each of the following statements into the notation of logic and predicate logic and simplify the negations of all. Which statements do you think are true?
(i) Some questions are easy.
(ii) Any integer with an even square is even.
(iii) All students cannot correctly answer some questions in this assignme

Power Tools (PT) has just received an order for 70 PT band saws, to be shipped at the beginning of Week 9. The saw assembly information is shown in the attached document.
The problem is to construct two Gantt charts from this information:
(a) one using front schedule logic
(b) one using back schedule logic

Suppose F varies jointly as x and y and inversely as z squared. If F is equal to 18 when x = 4, y = 3 and z = 2, find the value of F if the values for x, y, and z respectively are doubled.