Question

If the SOP form of switching function is f(A,B,C,D)=A’ B’C+A’BC’+A(BC)’+ABC then the POS form of the function will be

Option 1:

Option 2:
(A’+B’+C)( A’+B+C’)( A+B’+C’)( A+B+C)

Option 3:
(A+B+C’) (A+B’+C) ( A’+B+C)( A’+B’+C’)

Option 4:
(A+B+C)( A+B’+C’)( A’+B+C’)( A’+B’+C)​

Answer 1

Answer:

option 2 it easy

Explanation:

I am don't now this anwer don't worry you will get

Answer 2

Answer:

Answer is option (2): (A’+B’+C)( A’+B+C’)( A+B’+C’)( A+B+C)

Explanation:

The approach we followed is:

1. First, if each product term is converted to the equivalent binary format (for example, if ABC` takes 1 for the non-complementary variable (A, B) and  0 for the complementary variable (C), then the binary conversion is 110. ), And finally, in decimal format (eg 110 = 6), store in the list.

2. Now, for the POS form, get all the terms not in the list created in step 1, convert each term to binary, and switch to the SOP form.

3. Now, replace 1 by complement variables and replace 0 by uncomplement variables and between the variables using the ‘+’ symbol. After each individual sum term use ‘.’

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