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Modular Arithmetic

A system of arithmetic where numbers wrap around after reaching a modulus (e.g. 17 mod 5 = 2).

Technisches Detail

Modular Arithmetic is applied in computing through numerical algorithms that balance precision, performance, and memory. JavaScript uses 64-bit IEEE 754 floating-point for all numbers, providing ~15-17 significant decimal digits. For exact arithmetic (financial, cryptographic), BigInt or fixed-point libraries are required. Browser-based calculators implement modular arithmetic using the same floating-point engine, making awareness of precision limitations important for correct results.

Beispiel

```
Modular Arithmetic calculation:

  Input:  value = 42
  Apply modular arithmetic: result = f(42)
  Output: result
```

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