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
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**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.
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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