Each group of adjacent Minterms (group size in powers of twos) corresponds to a possible product term of the given ___________a)Functionb)Valuec)Setd)WordCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Explanation:

In digital logic, a Minterm is a product term in which all the variables of a Boolean function appear exactly once, either in their true or complemented form. Minterms are used in the representation and simplification of Boolean functions.

Grouping of Minterms:
Minterms can be grouped together based on their position and number of variables. The grouping of adjacent Minterms is done in powers of twos, i.e., 1, 2, 4, 8, 16, and so on.

Possible Product Terms:
A product term is a term that represents the ANDing of variables in a Boolean function. Each group of adjacent Minterms corresponds to a possible product term of the given Boolean function.

Explanation:
When adjacent Minterms are grouped together, each group represents a specific combination of variables in the Boolean function. For example, in a 2-variable Boolean function, the Minterms can be grouped as follows:

Group 1: M0, M1 (represents the product term A'BC')
Group 2: M2, M3 (represents the product term AB'C')
Group 3: M4, M5 (represents the product term AB'C')
Group 4: M6, M7 (represents the product term ABC')

Each group corresponds to a specific product term that can be derived from the given Boolean function. The number of groups depends on the number of variables in the Boolean function. Each group represents a different combination of variables in the product term.

Therefore, the correct answer is option 'A' - Function. Each group of adjacent Minterms corresponds to a possible product term of the given Boolean function.

Answer

Each group of adjacent Minterms (group size in powers of twos) corresponds to a possible product term of the given function.

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