MCS-013-SOLVED ASSIGNMENT 2016-2017 IGNOU BCA. 2nd SEM.

1. (a) What is proposition? Explain whether, x-y >5 is a

proposition or not.

(b) Make truth table for followings.

(i) p→ (~q ⋁ ~ r) ⋀ (~p ⋁ r)

(ii) p→ (r ⋁ q) ⋀ (~p ⋀ ~q)

(c) Draw a Venn diagram to represent followings:

(i) (A B) (B C)

(ii) (A B) (C~A)

(d) Give geometric representation for followings:

(i) R x { 4}; where R is a natural number

(ii) {2, 2) x ( 2, -4)

2. (a) Write down suitable mathematical statement that can be

represented by the following symbolic properties.

(i) ( x) ( y) ( z) P

(ii) ( x) ( y) ( z) P

(b) Write the following statements in the symbolic form.

(i) Some birds can not fly

(ii) Nothing is correct

(c) What is modus ponen and modus tollen? Write one

example of each.

(d) What is relation? Explain equivalence relation with the

help of an example.

3. (a) Make logic circuit for the following Boolean expressions:

i) (x' y' z) + (xyz)

(b) Find Boolean Expression of Q in the figure given below.

                                   Figure 1: Boolean Circuit

(c) Find Boolean Expression of Q in the figure given below.

                                      Figure 2: Boolean Circuit

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