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Unformatted text preview: = 127 % 90 = 37 Quiz 5 Show that a+(b.c) = (a+b).(a+c) [note: + denotes or operation, . denotes and operation] Proof by Truth Table: ID a b c b.c a+(b.c) (a+b) (a+c) (a+b). (a+c) 1 1 1 2 1 1 3 1 1 1 1 1 1 1 4 1 1 1 1 1 5 1 1 1 1 1 1 6 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 From the table, we can see that the columns for a+b.c and (a+b).(a+c) have same values of 0's and 1's. Therefore, a+(b.c) = (a+b)(a+c)....
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This note was uploaded on 12/11/2011 for the course CSE 20 taught by Professor Foster during the Fall '08 term at UCSD.
 Fall '08
 Foster

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