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Мультиплексор має 500 інформаційних входів. Визначити кількість  адресних входів.Питання 3Виберіть одну:A.7B.немає правильної відповідіC.5D.8E.6F.9G.11H.10I.4

Question

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Solution

Break Down the Problem

  1. We need to determine the number of address lines needed for a multiplexer with 500 information inputs.

Relevant Concepts

  1. The number of address lines n n for a multiplexer can be calculated using the formula: 2nN 2^n \geq N where N N is the number of inputs.

Analysis and Detail

  1. Let's apply the formula to find n n :

    • We need to find the smallest n n such that: 2n500 2^n \geq 500
    • We will calculate the powers of 2:
      • 28=256 2^8 = 256 (not sufficient)
      • 29=512 2^9 = 512 (sufficient)

    Therefore, n=9 n = 9 is the smallest number satisfying the condition.

Verify and Summarize

  1. We have verified that 29=512 2^9 = 512 can accommodate 500 inputs, while 28=256 2^8 = 256 cannot. Thus, the correct answer is 9 address lines.

Final Answer

The number of address lines for the multiplexer is 9 (F).

This problem has been solved

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