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5.11 LAB: Find the largest power of 2 less than a number Any positive integer can be written as the sum of a series of terms, where each term is the number 2 raised to some power. For example: 165 27+25 +2² +2⁰ 93077 = 216 +216 +2¹3 +2¹1 +2° +2³+27 + 24 +2² +20 Notice how the exponent of each term is less than that of its predecessor. You will write a program to read an integer and decompose it into such a series. Here is an example of how your final program might be used (user enters the number in first line and program outputs the series of terms): Enter a number: 1234 2**10 + 2**7 + 2**6 + 2**4 + 2**1 You will write your program in two phases. In this phase, your program only reads an integer inum and finds the largest n such that 2"

5.11 LAB: Find the largest power of 2 less than a number Any positive integer can be written as the sum of a series of terms, where each term is the number 2 raised to some power. For example: 165 27+25 +2² +2⁰ 93077 = 216 +216 +2¹3 +2¹1 +2° +2³+27 + 24 +2² +20 Notice how the exponent of each term is less than that of its predecessor. You will write a program to read an integer and decompose it into such a series. Here is an example of how your final program might be used (user enters the number in first line and program outputs the series of terms): Enter a number: 1234 2**10 + 2**7 + 2**6 + 2**4 + 2**1 You will write your program in two phases. In this phase, your program only reads an integer inum and finds the largest n such that 2"

Database System Concepts
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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5.11 LAB: Find the largest power of 2 less than a number Any positive integer can be written as the sum of a series of terms, where each term is the number 2 raised to some power. For example: 165 = 27 +25 +2² +2⁰ 93077 = 2¹6 +2¹4 +213 +2¹1 +29 +28+27 +24+2² +2⁰ Notice how the exponent of each term is less than that of its predecessor. You will write a program to read an integer and decompose it into such a series. Here is an example of how your final program might be used (user enters the number in first line and program outputs the series of terms): Enter a number: 1234 2**10 + 2**7 + 2**6 + 2**4 + 2**1 You will write your program in two phases. In this phase, your program only reads an integer num and finds the largest n such that 2 <i_num You can assume that i_num is always a positive integer. Here is how your program will interact with the user by the end of this phase: Enter a number: 1234 2* *10 Note that 2**10 is 1024, and 2**11 is 2048. The user's number, 1234, lies in between these two values. Therefore, 10 is the largest positive integer that satisfies the above requirement. Here are a few more examples: Enter a number: 165 2* *7 Enter a number: 93077 2* *16 Enter a number: 1 2**0 Below, some directions have been provided to complete the code for this phase. Read it carefully. Decide on an appropriate initial value for n. This will also determine the initial value of two_to_n. Do you understand the overall strategy? If not, discuss with your team. Make sure you are able to trace the values of n and two_to_n as the program processes the input 17, for example. Complete the code.
Transcribed Image Text:5.11 LAB: Find the largest power of 2 less than a number Any positive integer can be written as the sum of a series of terms, where each term is the number 2 raised to some power. For example: 165 = 27 +25 +2² +2⁰ 93077 = 2¹6 +2¹4 +213 +2¹1 +29 +28+27 +24+2² +2⁰ Notice how the exponent of each term is less than that of its predecessor. You will write a program to read an integer and decompose it into such a series. Here is an example of how your final program might be used (user enters the number in first line and program outputs the series of terms): Enter a number: 1234 2**10 + 2**7 + 2**6 + 2**4 + 2**1 You will write your program in two phases. In this phase, your program only reads an integer num and finds the largest n such that 2 <i_num You can assume that i_num is always a positive integer. Here is how your program will interact with the user by the end of this phase: Enter a number: 1234 2* *10 Note that 2**10 is 1024, and 2**11 is 2048. The user's number, 1234, lies in between these two values. Therefore, 10 is the largest positive integer that satisfies the above requirement. Here are a few more examples: Enter a number: 165 2* *7 Enter a number: 93077 2* *16 Enter a number: 1 2**0 Below, some directions have been provided to complete the code for this phase. Read it carefully. Decide on an appropriate initial value for n. This will also determine the initial value of two_to_n. Do you understand the overall strategy? If not, discuss with your team. Make sure you are able to trace the values of n and two_to_n as the program processes the input 17, for example. Complete the code.
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