By A.P. Bowran

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22 Exercise. 21 Fig. 23 The Venn diagram for the three sets, A, B, C divides the area that represents the universal set into 8 regions, each of which represents one of the 8 terms of the complete disjunctive normal form for the three elements, A, B, C. 30/1 (i)) that the corresponding sets have no common member. They are then said to be mutually exclusive or disjoint. 23 - n(P n Q) n Q') u (P n Q)} + n{(P n Q) u (P' n Q)} - n(P n Q) Q') + n(P n Q) + n(P n Q) + n(P' n Q) - n(P n Q) = n(P n Q') + n(P' n Q) + n(P n Q) = n(P u Q) = n{(P = n(P n 27 SETS Exercise.

Even Aunt Gertrude joined in. That punch must have been potent. All who tasted it went straight out and kissed under the mistletoe-except Aunt Gertrude, who, I swear, has never been kissed in her life. As usual, the mince pies were a failure, but everyone who didn't eat one was made to promise that they would stay over for the New Year. They all did promise except Sally, who is off to France on Saturday. Not one of those who kissed under the mistletoe would touch those mince pies, and Vera gave hers to the dog without even looking at it.

Ii) Add the binary numbers 1001101 and 111011, and then find the difference between them. 11 Exercise. Bo S 0 = Ao. B~ + A~ . (A16. 13 To simplify the wiring diagram, we use two units, a 'halfadder' and a 'union element'. The half-adder (Fig. 1) controlled by inputs A0 and B0 , allows a flow of current through the upper wire if A0 • B0 = 1, and through the lower wire if A0 ~ B0 = 1 Ao X Bo Fig. 1 y Fig. 2 and similarly the union element (Fig. 2) allows a flow if X +Y = 1. 14 Exercise. Find the algebraic conditions for a signal from S0 , S 1 , in Fig.