Mcs 033 Advanced Discrete Mathematics Solved Assignment 1423

Q3:

a) What is Boolean algebra? Write uses of Boolean algebra. Explain how you can find dual of a theorem about Boolean algebra. (5 Marks)

=============Solution Start Here===================

Boolean Algebra: What allows us to give reply is the concept of Boolean algebras.

It is possible to design an electric / electronic circuit without actually using switches or logic gates and wires.

As before , let the letters p, q, r......... denote statement or propositions. As you may recall, a tautology T is any proposition witch is always true or always false.

T <= S , F <= S

A Boolean algebra B is an algebraic structure which consists of a set X and two specially defined element 0 or 1 which satisfy the following five laws for all x, y, z belong X.

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b) If p and q are statements, show whether the statement

[(p --> q) (~ q)] --> (~ p) is a tautology or not. (5 Marks)

===========Solution Start Here=======================

pq~p~p~p ^ ~q(~p ^ ~q) --> ~p
TTFFFT
TFFTFT
FTTFTT
FFTTFT
There the proposition we a started with is a tautology.

Therefor the statement [(p --> q) ^ (~q)] --> (~p) is a tautology.

===========Solution End Here========================

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IGNOU MCA 3rd Semester Solved Assignments for July-January 2015-16 session is now available here at absolutely free of cost .

We have added MCS-031, MCS-032 and MCS-033, MCS-034, MCS-035 solved assignments and remaining assignments will be added as soon as possible. You can easily download these assignments from below given links and start writing on notebook .

MCA Third Semester Assignments Details :

1 – Course Code :MCS-031
Title : Design and Analysis of Algorithms

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2 – Course Code : MCS-032
Title : Object Oriented Analysis and Design

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3 – Course Code : MCS-033
Title : Advanced Discrete Mathematics

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4 – Course Code :MCS-034
Title : Software Engineering

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5 – Course Code : MCS-035
Course Title : Accountancy and Financial Management

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6 – Course Code : MCSL-036
Title : Lab Course

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