Page 87 - C++

X Y Z F(X,Y,Z)
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1

Ans. F(X,Y,Z)= X’Y’Z’+X’Y’Z+XY’Z’+XYZ
OR
F(X,Y,Z)=∑(0,1,4,7)

(1 Mark for the correct SOP form)
OR
(½ Mark for writing any two term correctly)

(d) Reduce the following Boolean Expression to its simplest form using K- (3)
Map:
F(X,Y,Z,W)= Σ (0,1,2,3,4,5,8,10,11,14)

Simplified Expression: X’Z’+Y’W’+Y’Z+XZW’

(½ Mark for drawing K-Map and correctly plotting 1s in the given cells)
( ½ Mark each for 4 groupings)
( ½ Mark for writing final expression in reduced/minimal form)
Note:
● Deduct ½ mark if wrong variable names are used

7 (a) Arun opened his e-mail and found that his inbox was full of hundreds of (2)
unwanted mails. It took him around two hours to delete these unwanted
mails and find the relevant ones in his inbox. What may be the cause of his
receiving so many unsolicited mails? What can Arun do to prevent this
happening in future?

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