Problem 4. For any 2-tuple of binary variables (x, y) € {0,1}there exists a total of 16 distinctive logical functions fo

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Problem 4 For Any 2 Tuple Of Binary Variables X Y 0 1 There Exists A Total Of 16 Distinctive Logical Functions Fo 1 (337.52 KiB) Viewed 38 times

Problem 4. For any 2-tuple of binary variables (x, y) € {0,1}there exists a total of 16 distinctive logical functions fo, ..., f15. Each of these fi(x, y) will give an output with respect to different combinations of (x,y). For instance, f1 fi(x, y) = r.y x • and f7(x, y) = x + y = because of the truth table х y first digit 0 0 second digit 0 1 third digit 1 0 forth digit 1 1 f1(x, y) $7(x, y) 0 0 0 1 0 1 1 1 = wherein if we check the column of fi(x,y), it returns the binary integer of (0001)2 = (1)10 for x •y and (0111)2 (7) 10 for x + y; i.e. the function fi(x,y) returns a binary output of (i)2 in accordance to the input listed in the columns x, y. List the outputs of the remaining functions fi(x,y) accordingly.