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books/The Art of Computer Programming, Vol. 2 - Seminumerical Algorithms/summary.en.md

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**Link for More Details**:
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[Ask AI: Arithmetic](https://alisol.ir/?ai=Arithmetic%7CDonald%20Knuth%7CThe%20Art%20of%20Computer%20Programming%2C%20Vol.%202%20-%20Seminumerical%20Algorithms)
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[Personal note: Floating-point standards have evolved; in 2026 I'd use IEEE 754-2019 for better reproducibility, though the basics here hold strong.]
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## Section 4.1: Positional Number Systems
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**Link for More Details**:
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[Ask AI: Multiple-Precision Arithmetic](https://alisol.ir/?ai=Multiple-Precision%20Arithmetic%7CDonald%20Knuth%7CThe%20Art%20of%20Computer%20Programming%2C%20Vol.%202%20-%20Seminumerical%20Algorithms)
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[Personal note: For fast multiplication, Karatsuba is classic, but in 2026 I'd check out FFT-based methods or hardware acceleration for really large numbers.]
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## Section 4.4: Radix Conversion
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**Link for More Details**:
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[Ask AI: Rational Arithmetic](https://alisol.ir/?ai=Rational%20Arithmetic%7CDonald%20Knuth%7CThe%20Art%20of%20Computer%20Programming%2C%20Vol.%202%20-%20Seminumerical%20Algorithms)
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[Personal note: Binary GCD is efficient, but for huge numbers in 2026, I'd consider parallelized versions or libraries like GMP.]
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## Section 4.6: Polynomial Arithmetic

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