MadeEasy Test Series: Digital Logic - Boolean Expressions

Question

my doubt is here we find that redundant expression ??? but answer is given non redundant expression?? plz check

Comments

I also feel the same.

I have read: In an expression if some term or literal can be deleted without altering its logical value, then it is called redundant.

but in video solution they told redundant=minimal. I am not getting this.

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In an expression if some term or literal can be deleted without altering its logical value, then it is called redundant. 

delete XZ you will get rudundant expression.( minimal term) here no minimal attribute term.

Answer 1

Here u should know about prime implicants and essential prime implicants..And one important point on that :

If all cells are covered by essential prime implicants , then to form an irredundant minimal expression then we have to use the essential prime implicants only and not consider the non essential ones..But in redundant expression we can do that which is also being asked in the question

So in light of the K Map which is given all are essential prime implicants except one which is in the centre so to form redundant expression we consider the central prime implicant of 4 cells which is a non essential prime implicant also.

As is clear from the K Map ,

No of essential prime implicants  =   4

No of non essential prime implicants = 1

So no of terms in redundant SOP expression = 5

Hence clearly D) is the correct answer.. 

Comments

https://en.wikipedia.org/wiki/Logic_redundancy no you not correct .

check here what redundant meaning 

Y= AB + A'C + BC here BC is redundant

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@anirudh i know that the meaning of redudant but in question ask  about redudant expression ...so i go to option D

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yup.. :)