Explain the method which can be used to determine the disjunction normal form of the Boolean
function represented by the following table:
x y z f
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 0
Solution
To form a DNF representation of the function, we\'ll include a term for each row of the truth
table in which the value of the function is true(1). For each of these terms, include all variables
that are parameters to the function. If a variable is given a value of false(0) in the truth table row,
negate it in the term; otherwise, leave it non-negated. In this way a DNF expression is generated
directly from the truth table.
F(x, y, z) = x\'yz\' + xy\'z\' + xy\'z
The disjunctive normal form should have three minterms corresponding to thethree triples for
which F takes the value 1. Consider one of these: F(0, 1, 0) = 1.In order to have a product of
literals that will equal 1, we need to multiply literalsthat have a value of 1. At the triple (0, 1, 0)
the literals we need are x, y, and z,since x = y = z = 1 when x = 0, y = 1, and z = 0. The
corresponding minterm,xyz, will then have value 1 at (0, 1, 0) and 0 at every other triple in B3.
The othertwo minterms come from considering F(1, 0, 0) = 1 and F(1, 0, 1) = 1. The sum ofthese
three minterms will have value 1 at each of (1, 0, 0), (0, 1, 0), (1, 0, 1) and 0 atall other triples in
B3..
Explain the Mutiplier Effect. Try to explain it in some detail so th.pdf
1. Explain the Mutiplier Effect. Try to explain it in some detail so that someone who did not know
anything about economics would be able to gain a fundamental understanding of it. Use a visual
aid to help the observer understand the concept.
Solution
multiplier gives the relationship between a nations change in national product to change in its
investment
i.e. Multiplier= Change in national product/ Change in investment demand
it means it is the process of calculation of total output of a nation with regards to total
investment.
