Figure gives a system of logic gates. From the study of truth table it can be found that to produce a high output (1) at R, we must have

(a) X = 0, Y = 1
(b) X = 1, Y = 1
(c) X = 1, Y = 0
(d) X = 0, Y = 0

(c) 

The truth table can be written as

Hence X = 1, Y = 0 gives output R =1

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