Interactive Number Base Conversion Across Radices

Interactive Number Base Conversion Across Radices
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2021-01-08 23:27
This GeoGebra example demonstrates how to convert a number between common number systems by interactively inputting a digit (or digit sequence) and a source/target base, while clearly separating the handling of the integer and fractional parts. The key mathematical ideas include radix/base representation, positional numeral systems, dividing the value into integer and fraction components, and using arithmetic (division/iterative digit extraction) to rebuild the representation in another base. In the construction, user parameters are collected with Textfield and multiple InputBox objects (e.g., inputs a,b,c,d, and the target base base). The conversion logic is organized with objects like eq/return/conv, while con2base handles conversion to the chosen base and frac/frac2b manage fractional-part processing. Intermediate results such as fraction-related objects (frac, fraction, fracbase, fracradix, rfraction) and stepwise quantities (e.g., fracDelta) track the contribution of fractional digits under different place values. Suitable for upper secondary through early university courses on number systems, discrete math, and computational thinking via interactive visualization.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(todo) → InputBox5
  6. Textfield(base) → InputBox6
  7. Textfield(conv) → InputBox7
  8. Textfield(frac) → InputBox8
  9. Textfield(fracbase) → InputBox9
  10. Textfield(fracradix) → InputBox10
  11. Textfield(frac2b) → InputBox11

AI Drawing Prompt Reference

Draw an interactive diagram for number base conversion, featuring a central input area with multiple text boxes for entering digits, source base, and target base. The number is clearly split into integer and fractional parts, shown in distinct sections or colors. From the integer part, arrows lead to a series of conversion steps illustrating iterative division by the target base with remainders; the fractional part follows a process of multiplication by the target base to extract digits stepwise. Each step is annotated with intermediate results and the radix, with a clean layout emphasizing positional notation for educational use.
The prompt above was compiled from the original drawing commands and is for reference only.