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

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

### Analysis and Detail
3. Let's apply the formula to find $ n $:
- We need to find the smallest $ n $ such that:
$$
2^n \geq 500
$$
- We will calculate the powers of 2:
- $ 2^8 = 256 $ (not sufficient)
- $ 2^9 = 512 $ (sufficient)

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

### Verify and Summarize
4. We have verified that $ 2^9 = 512 $ can accommodate 500 inputs, while $ 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)**.

Question

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

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

### Analysis and Detail
3. Let's apply the formula to find $ n $:
   - We need to find the smallest $ n $ such that:
     $$
     2^n \geq 500
     $$
   - We will calculate the powers of 2:
     - $ 2^8 = 256 $ (not sufficient)
     - $ 2^9 = 512 $ (sufficient)

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

### Verify and Summarize
4. We have verified that $ 2^9 = 512 $ can accommodate 500 inputs, while $ 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)**.

Knowee AI · Accepted Answer

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

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

### Analysis and Detail
3. Let's apply the formula to find $ n $:
   - We need to find the smallest $ n $ such that:
     $$
     2^n \geq 500
     $$
   - We will calculate the powers of 2:
     - $ 2^8 = 256 $ (not sufficient)
     - $ 2^9 = 512 $ (sufficient)

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

### Verify and Summarize
4. We have verified that $ 2^9 = 512 $ can accommodate 500 inputs, while $ 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)**.

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

Мультиплексор має 500 інформаційних входів. Визначити кількість адресних входів.

Solution

Break Down the Problem

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

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