It will be only be 3 GATES

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22 votes

I don't know if it makes sense but answer can be 4 if we don't convert the expression in POS form. From SOP form, it will take 4 gates. If the question implies this restriction!

Minimum number of NOR Gates required are 3.

Note:- Minterm and Product term are different.

Every Minterm can be Product term but not vice versa.

For example, in a 4 variable function, term "BD" is product term but not minterm. Because, Minterms are terms that should contain every variable either in true or complemented form. The term "BD" doesn't contain both A and C either in true or complemented term.

Whereas the term "ABCD" is a minterm for a 4 variable function and it is equal to 15.

Let's come to the question now. The function is expressed in sum of minterms. Now we have to minimize it. We can minimize it into either SOP or POS as there are no restrictions on the questions.

So, using 3 NOR gate, we can minimize.

Note:- Minterm and Product term are different.

Every Minterm can be Product term but not vice versa.

For example, in a 4 variable function, term "BD" is product term but not minterm. Because, Minterms are terms that should contain every variable either in true or complemented form. The term "BD" doesn't contain both A and C either in true or complemented term.

Whereas the term "ABCD" is a minterm for a 4 variable function and it is equal to 15.

Let's come to the question now. The function is expressed in sum of minterms. Now we have to minimize it. We can minimize it into either SOP or POS as there are no restrictions on the questions.

So, using 3 NOR gate, we can minimize.

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2 votes

4 is right answer I solved it twice by Sum of product not Product of sum.

Hopefully you will get this If you challenge they have solution which contain 4 gates.

Hopefully you will get this If you challenge they have solution which contain 4 gates.

1 vote

Thanks @mradul for challenging. I thought everything will be correct in the key and forgot to check the key released by them. Yesterday only I came to know that answer for this question is wrong. But by yesterday, I couldn't challenge as the time was over.

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