How many times can an array with 1,024 elements be cut into two equal pieces?
How many times can an array with 1,024 elements be cut into two equal pieces?
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
Related questions
Question
![**Question:**
How many times can an array with 1,024 elements be cut into two equal pieces?
**Options:**
a. 16
b. 12
c. 10
d. 8
**Explanation:**
To determine how many times an array with 1,024 elements can be cut into two equal pieces, consider repeatedly dividing the array:
- Start with 1,024 elements.
- Each division halves the number of elements.
- Continue splitting until the smallest piece is a single element.
This is equivalent to calculating how many times you can divide 1,024 by 2 until you reach 1. Mathematically, this represents finding the power of 2 that equals 1,024 (i.e., solving \(2^x = 1024\)).
\[2^{10} = 1,024\]
Therefore, the correct answer is \(\text{c. 10}\) repetitions are required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F346b36e0-a4d8-47d7-8bd1-1ad776cb1cf3%2F62348897-fbe5-4c44-8261-e0b42ddf5605%2Fdi8s3w6_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
How many times can an array with 1,024 elements be cut into two equal pieces?
**Options:**
a. 16
b. 12
c. 10
d. 8
**Explanation:**
To determine how many times an array with 1,024 elements can be cut into two equal pieces, consider repeatedly dividing the array:
- Start with 1,024 elements.
- Each division halves the number of elements.
- Continue splitting until the smallest piece is a single element.
This is equivalent to calculating how many times you can divide 1,024 by 2 until you reach 1. Mathematically, this represents finding the power of 2 that equals 1,024 (i.e., solving \(2^x = 1024\)).
\[2^{10} = 1,024\]
Therefore, the correct answer is \(\text{c. 10}\) repetitions are required.
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