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A school intends to select candidates for an Inter school competition as per the criteria given…

Computer Science20222 marksMCQ
A school intends to select candidates for an Inter school competition as per the criteria given below: • The student has participated in an earlier competition and is very creative Or • The student is very creative and has excellent general awareness, but has not participated in any competition earlier Or • The student has excellent general awareness and has won prize in an inter-house competition The inputs are:
Inputs
AParticipated in a competition earlier
BIs very creative
CWon prize in an inter house competition
DHas excellent general awareness
(In all the above cases 1 indicates yes and 0 indicates no). Output: X [1 indicates yes and 0 indicates no for all cases]. Draw the truth table for the inputs and outputs given above and answer the following question: The POS expression for X(A,B,C,D) will be:
  • (i)$F(A,B,C,D) = \sum(3, 5, 7, 11, 12, 13, 14, 15)$
  • (ii)$F(A,B,C,D) = \pi(3, 5, 7, 11, 12, 13, 14, 15)$
  • (iii)$F(A,B,C,D) = \pi(0, 1, 2, 4, 6, 8, 9, 10)$
  • (iv)$F(A,B,C,D) = \sum(0, 1, 2, 4, 6, 8, 9, 10)$

Answer

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Boolean Algebra

From ISC 2022 Computer Science - Specimen paper (Semester 1), Paper 1, question 22(a).

Check your working with the Boolean algebra solver: the steps law by law, the K-map and the logic circuit for any expression.