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Base Converter

Description

AREAS: Number Theory
LEVEL: Hardest
TYPE: Open

The task is to create a program that converts numbers in different number systems:

- Accept a number in an arbitrary base a as input.
- Be able to convert the number to another arbitrary base b, where the user can choose both a and b. The requirement is that the digit representation does not exceed 36 and is not less than 2.
- Be able to handle decimal numbers.

To meet the level Hardest, the creator should demonstrate a good mathematical understanding by:

- Avoiding the use of too many built-in functions.
- Clearly presenting their mathematical understanding of the program in their description.

Beskrivning

OMRÅDEN: Talteori, Kongruens
NIVÅ: Svårast
TYP: Öppen

Uppgiften är att skapa ett program som omvandlar tal i olika talbaser:

- Ta emot ett tal i en godtycklig bas a som input.
- Kunna omvandla talet till en annan godtycklig bas b där användaren själv kan välja baserna a och b. Kravet är att basteckningen inte överstiger 36 och är inte lägre än 2.
- Kunna hantera decimaltal.

För att uppgiften ska uppfylla nivån Svårast bör skaparen visa en god matematisk förståelse genom att:

- Undvika att använda för många inbyggda funktioner.
- Tydligt redovisa sin matematiska förståelse av programmet i sin beskrivning.

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