UGC-NET Computer Science July 2016 Solved Paper 2

UGC-NET Computer Science July 2016 Solved Paper 2


Q::9  The simplified form of a boolean equation (AB'+AB'C+AC)(A'C'+B') is :

(1) AB'                                           (2) AB'C
(3) A'B                                           (4) ABC


Answer:: (1)

Explanation::

 =( AB' + AB'C + AC ) ( A'C' + B' )

 =( AB'( 1 + C ) + AC ) ( A'C' + B' )                       [ x + 1 = 1 ]

 =( AB' + AC ) ( A'C' + B' )

 =( AA'B'C' + AB'B' + AA'CC' + AB'C )

 =( 0 + AB' + 0 + AB'C )                                         [ x . x' = 0 ]

 = AB'( 1 + C )

 = AB'

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