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# Sub Algorithms Base Values

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? Write a sub-algorithm (subroutine) that given a number N in base 10 and a base value Base between 2 and 10 (inclusive), returns the representation of the decimal value N in the desired Base. For example, given N = 25, and Base = 2, it should return 11001.
Algorithm: Base_10_to_Any_Base
1.0 Given:
1.1 an integer N, a decimal value
1.2 an integer Base, a base between 2 and 10
2.0 Declare variable Result
...

? Write a sub-algorithm (subroutine) that given a string Number representing a number in some base and a base value Base between 2 and 10 (inclusive), returns the representation of Number as a decimal value. For example, given Number = 11001, and Base = 2, it should return 25.
Algorithm: Any_Base_to_Base_10
1.0 Given:
1.1 a string Number, a string of digits,
1.2 an integer Base, a base between 2 and 10
2.0 Declare variable Result
...

? Write an algorithm, that uses the above two sub-algorithms, given a number in some base from and a different base named to, converts the number from the original base to the desired base.
Algorithm: Any_Base_to_Any_Base
1.0 Given:
1.1 a string Number, a string of digits,
1.2 an integer From, a base between 2 and 10
1.2 an integer To, a base between 2 and 10
2.0 Declare variable Result
...

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#### Solution Preview

1. Algorithm: Base_10_to_Any_Base
String Base_10_to_Any_Base(int N, int Base)
BEGIN
1. Define a string str = ""
2. While (N>0) Then
2.1. str = str + (N%Base)
2.2 N = N/Base
End ...

#### Solution Summary

Sub algorithm base values are examined. The expert declares the results.

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