A training institute intends to give scholarships to its students as p

A training institute intends to give scholarships to its students as per the criteria given below :The student has excellent academic record but is financially weak.ORThe student does not have an excellent academic record and belongs to a backward class.ORThe student does not have an excellent academic record and is physically impaired.The inputs are :INPUTSAHas excellent academic record FFinancially soundCBelongs to a backward classIIs physically impaired (In all the above cases 1 indicates yes and 0 indicates no).Output : X [1 indicates yes, 0 indicates no for all cases]Draw the truth table for the inputs and outputs given above and write the SOP expression for X (A,F, C,I).

Answer»

From the question, we have four inputs A, F, C, I and on output X. The truth table for given variables is shown.

So, the SOP expression is

A' F' C' I + A' F' C I' + A' F' CI + A' FC' I + A' FC I' + A' FCI + AFC' I' + AFC' I + AFC I' + AFCI