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← GATE CSE 2015 Set 3

Q2

MCQ1 mark, −0.33

Let #\# be the binary operator defined as X#Y=X′+Y′X\#Y = X'+Y' where XX and YY are Boolean variables. Consider the following two statements. (S1)(S_1) (P#Q)#R=P#(Q#R)(P\#Q)\#R = P\#(Q\#R) (S2)(S_2) Q#R=(R#Q)Q\#R = (R\#Q) Which are the following is/are true for the Boolean variables P,QP, Q and RR?

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