Binary To Any Or Any To Any — convert between any number bases directly (English PDF)
by Sławomir Czwórnóg
$24
Several times shorter working than when using the school method (base A → decimal → base B) — e.g. in example 50 of the book, about 35 lines instead of more than 150. The method relies mainly on addition and multiplication. Same result.
WHAT YOU GET
• One uniform method that converts a number from any base to any other base — from base 2 upward, with no upper limit, and without a stop in the decimal system: one method instead of two steps.
• Paper and pen only: numbers of any length (128-bit, 1024-bit, 2,345,678-bit — the steps are the same), no calculator.
• A universal manual method that, to the author's knowledge, has not been published before.
• A new hybrid notation for bases above 62 (where 0–9, A–Z and a–z run out).
• 100 worked examples, step by step.
• Extra uses: checking divisibility and encrypting/decrypting texts.
WHAT'S INSIDE
• Introduction (p. 7): Why are the methods used today for converting between number systems far more complex and time-consuming than necessary?
• Chapter 1: Number systems (p. 11) — 1.1 What is the base of a number system. Number naming. · 1.2 Writing numbers in various numeral systems; examples (bases 2 to 10, 16, 36)
• Chapter 2: Tools (p. 25) — the native direction for reading numbers, the Digital-folder, addition and multiplication in any numeral system
• Chapter 3: Number conversion from any numeral system base to any other using my method (p. 53) — rules, calculation scheme for all conversions, 100 examples
• Chapter 4: Usefulness of the new conversion method (p. 187) — checking divisibility and data encryption via conversion
WHO IT IS FOR
Computer-science students, beginner programmers, students preparing for exams, people working with low-level programming, FPGA and processors, and anyone interested in cryptography or number puzzles. It relies mainly on addition and multiplication, so it is usable from primary school onward.
SEE IT BEFORE YOU BUY
• Watch example 50 (150 lines vs ~35): https://youtu.be/Otwnq8UYJeU
• Try the free converter (bases 2–63): https://binarytoany.com/converter.html
• Free sample: https://binarytoany.gumroad.com/l/sample-en
FORMAT
PDF, 204 pages, English edition. ISBN 978-83-983635-4-9.
Looking for Polish? → https://binarytoany.gumroad.com/l/polish
ABOUT THE AUTHOR
Sławomir Czwórnóg — graduate of the Sound Engineering faculty of the Fryderyk Chopin University of Music in Warsaw (1991), sound engineer on Polish-language versions of many films, series and video games. https://binarytoany.com/
WHY I WROTE IT
“I had to give this to humanity. This knowledge is for everyone. While researching prime numbers, I realised that conversion between number systems with bases greater than 62 opens up an ocean of new possibilities — so I devised a new way of converting directly between number systems with any bases.”
STAY TUNED
EPUB, paperback and translations (Spanish, Portuguese, French, German) are planned — and possibly a book on prime numbers. Follow me on Gumroad to hear first: https://binarytoany.gumroad.com/subscribe
Questions? slawomir.czwornog@gmail.com