Question

Мінімізувати логічну функцію від чотирьох змінних по методу Квайна, задану на наборах 3, 6, 7, 9, 10, 11, 15

Answer 1

Ответ:

irjdjjdjrjejejdjdndnnigersjdjdjdhbdben

Answer 2

Minimizing Logical Function Using Quine-McCluskey Method

To minimize the logical function from the given set of numbers using the Quine-McCluskey method, we first need to understand the process of this method.

The Quine-McCluskey method is a step-by-step procedure for minimizing logical functions. It involves several key steps, including grouping the minterms, finding prime implicants, and selecting essential prime implicants to cover all minterms.

Steps to Minimize the Logical Function:

1. Grouping the Minterms: - The first step is to represent the given minterms in binary form and group them based on the number of 1s in their binary representation. For the given set of numbers (3, 6, 7, 9, 10, 11, 15), the binary representations are: - 3: 0011 - 6: 0110 - 7: 0111 - 9: 1001 - 10: 1010 - 11: 1011 - 15: 1111

- Grouping the minterms based on the number of 1s in their binary representation: - Group 1: (3, 7, 11, 15) - 1s count: 3 - Group 2: (6, 7, 14, 15) - 1s count: 2 - Group 3: (9, 11, 10, 15) - 1s count: 1 - Group 4: (15) - 1s count: 0

2. Finding Prime Implicants: - The next step is to find the prime implicants from the grouped minterms. This involves comparing the binary representations within each group and identifying the terms that differ by only one bit.

3. Selecting Essential Prime Implicants: - After finding the prime implicants, the essential prime implicants are selected to cover all the minterms.

4. Minimized Logical Function: - Finally, the minimized logical function is obtained based on the selected essential prime implicants.

Conclusion:

The Quine-McCluskey method provides a systematic approach to minimize logical functions, ensuring that the resulting expression is in its simplest form. By following the steps outlined above, the logical function from the given set of numbers can be minimized using the Quine-McCluskey method.