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18) In the Quine-McCluskey method, what is a prime implicant?A) A mintermB) A maxtermC) A covering of minterms that cannot be covered by other prime implicantsD) A Boolean function

Question

  1. In the Quine-McCluskey method, what is a prime implicant?A) A mintermB) A maxtermC) A covering of minterms that cannot be covered by other prime implicantsD) A Boolean function
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Solution

A prime implicant in the Quine-McCluskey method is C) A covering of minterms that cannot be covered by other prime implicants.

Here's a step-by-step explanation:

  1. The Quine-McCluskey method is a technique used in digital logic to simplify Boolean algebra expressions.

  2. In this method, a minterm is a product (AND) of variables, each of which is either in its original form or complemented form.

  3. A prime implicant is a product term obtained at the end of the tabulation method (a part of the Quine-McCluskey method) that cannot be combined with any other term to eliminate a variable.

  4. In other words, a prime implicant is a covering of minterms that cannot be covered by other prime implicants. It's a group of minterms in the function that can only be covered by that specific group and no other.

  5. Therefore, the answer is C) A covering of minterms that cannot be covered by other prime implicants.

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