**Problem:**How many 16K memories can be placed (without overlapping) in the memory space of a processor that has 24 address lines?**Solution:**To solve this, follow these steps:1. **Calculate Total Addressable Memory:** A processor with 24 address lines can address \(2^{24}\) memory locations. Therefore, the total addressable memory is: \[ 2^{24} \text{ bytes} = 16 \text{ MB} \]2. **Determine Memory Size for 16K:** A 16K memory refers to \(16 \times 1024\) bytes: \[ 16 \times 1024 = 16,384 \text{ bytes} \]3. **Calculate How Many 16K Memories Fit:** Divide the total addressable memory by the size of a 16K memory: \[ \frac{16,777,216 \text{ bytes}}{16,384 \text{ bytes}} = 1024 \]Therefore, a total of 1024 16K memories can be placed in the memory space of this processor without overlapping.

Actually, memory is used to stores the data. processor is used to processing the instructions.Since 16K = 2^4 * 2^10 = 2^14, then a 16K memory chip has 14 address lines. Given 24 address lines, 24-14 = 10 address lines are left for chip. So, Number of 6K memories can be placed in the memory space of a processor with 24 address lines is 2^10 = 1024 1024 16K memories can be placed in the memory space of a processor with 24 address lines.

Answered: 10.How many 16 K memories can be placed…

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10.How many 16 K memories can be placed (without overlapping) in the memory space of a processor that has 24 address lines?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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