Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Problem 3 (Decimal to Binary)
Write and test a function called decimal_to_binary() that takes a positive integer as input
argument and returns a string representing that number in binary. Your program should not use
the built-in bin() function for the conversion. You may use it to test your function to verify the
answers of your function.
The algorithm for decimal to binary conversion is as follows:
1. Let num be the input
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Transcribed Image Text:Problem 3 (Decimal to Binary) Write and test a function called decimal_to_binary() that takes a positive integer as input argument and returns a string representing that number in binary. Your program should not use the built-in bin() function for the conversion. You may use it to test your function to verify the answers of your function. The algorithm for decimal to binary conversion is as follows: 1. Let num be the input
2. Let p be the largest number that is power of 2 less than
or equal to num, and let output be ""
3. Repeat until p is 0:
3.1
If p < num, then subtract p from num and add a "1"
to the output
3.2
Otherwise add a "0" to the output
3.3
Divide p by 2
4. Return output
Note: you need to use your pow_of_two() function in step 2 of this algorithm.
Sample outputs:
decimal_to_binary (1) → "1"
decimal_to_binary(3) → "11"
decimal_to_binary(4) → "100"
decimal_to_binary(15) → "1111"
decimal_to_binary(20) → "10100"
decimal_to_binary(64) → "1000000"
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Transcribed Image Text:2. Let p be the largest number that is power of 2 less than or equal to num, and let output be "" 3. Repeat until p is 0: 3.1 If p < num, then subtract p from num and add a "1" to the output 3.2 Otherwise add a "0" to the output 3.3 Divide p by 2 4. Return output Note: you need to use your pow_of_two() function in step 2 of this algorithm. Sample outputs: decimal_to_binary (1) → "1" decimal_to_binary(3) → "11" decimal_to_binary(4) → "100" decimal_to_binary(15) → "1111" decimal_to_binary(20) → "10100" decimal_to_binary(64) → "1000000"
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