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Solved Assignment MCS-013 Discrete Mathematics Q4

Q4:

a) Make logic circuit for the following Boolean expressions: i). (x.y + z) + (x+z)

ii). x.y'+ y.z'+z'x' + x .y

(4 Marks)

==============Solution Start here=====================

Logic circuit for Boolean expressions: (i) (x.y + z) + (x+z)

(ii) x.y'+ y.z'+z'x' + x .y

==============Solution End here======================

b) Find Boolean expression for the output of the following logic circuit given in the Figure a:

===============Solution Start here=====================

Boolean expressions = ===============Solution End here======================

c) Write a superset for the following sets:

A = {1, 2, 3, 4, 9, 19}, B = {1, 2} and C {2, 5, 11}, D = {1, 3, 5}

Also tell whether set B is a subset of set C or not. (3 Marks)

==============Solution Start here=====================

Set A is super set of set B because each element of set B is also an element of set A.

Therefor,

Then set B is not subset of set C because each element of set B is not set C.

Therefor,

==============Solution End here======================

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