NIMCET 2011 Question Paper with solutions

Question : 89 of 120

Marks: +1, -0

Which of the following Boolean expression represents the shaded portion of the Venn diagram?
Here, "." represents an ANO operation and "+" denotes an of operation.

$Z^{'}+(X ⋅ Y)$
$Z ⋅(X+Y)$
$(Z ⋅ X^{'})+Y$
$Z^{'} ⋅(X+Y)$

Validate

Solution:

Given Venn-diagram
In Set theory, this Venn-diagram shows the following expression

Z \cap(X \cup Y)

......(i)
We know that, in Boolean Algebra

∩=

AND operation

=∪=

OR operation

=+

From Eq. (i), the required Boolean expression is

Z ⋅(X+Y)

Go to Question:

Prev Question

Next Question