10.How many 16 K memories can be placed (without overlapping) in the memory space of a processor that has 24 address lines?
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee20ab8b-1fae-485e-ac9c-9e887dc6dd7a%2Fd62baee4-27b5-48eb-807b-65b1c4bff156%2Fl23f4z_processed.png&w=3840&q=75)
Transcribed Image Text:**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.
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