Binary: Base 2
In short: How counting with only 0 and 1 moved from Harriot's notes beside his weighing experiments and Leibniz's essay, through Boole's logic and relay circuits, to computing, where two-state devices hold it compactly and reliably.
A 1:28 short film in the series “From Fingers to Qubits”, narrated by intellect_voice_01.
Sources used in this film: Springer (The Mathematical Intelligencer), article by Lloyd Strickland, “Why Did Thomas Harriot Invent Binary?”; Communications of the ACM (BLOG@CACM), article by Herbert Bruderer, “The Binary System Was Created Long Before Leibniz”; Encyclopaedia Britannica, “Numerals and numeral systems - Decimal, Binary, Hexadecimal | Britannica”; Encyclopaedia Britannica, “Binary number system | Definition, Example, & Facts | Britannica”; University of Hyderabad, Department of Sanskrit Studies (hosting "A History of Piṅgala's Combinatorics" by Jayant Shah, Northeastern University), “Pingala”; P. P. Divakaran, talk slides for FPSAC 2022 (Bangalore), hosted on the Indian Institute of Science (IISc) Mathematics website, “divakaran.pdf”; Leibniz Translations (leibniz-translations.com), translation of Leibniz's 1703 text from Gerhardt (ed.), Die mathematische schriften von Gottfried Wilhelm Leibniz, vol. VII, archived by the Internet …, “Leibniz: Explanation of Binary Arithmetic (1703)”; Internet Archive (digitised copy contributed by Duke University Libraries), “An investigation of the laws of thought, : Boole, George, 1815-1864 : Free Download, Borrow, and Streaming : Internet Archive”; Stanford Encyclopedia of Philosophy, “George Boole”; Massachusetts Institute of Technology (DSpace@MIT, MIT Libraries), “A symbolic analysis of relay and switching circuits”; Computer History Museum, “1941 | Timeline of Computer History”; Computer History Museum (CHM Revolution), “How Do Digital Computers “Think”? - CHM Revolution”.
Sources used in this film
- Springer (The Mathematical Intelligencer), article by Lloyd Strickland — Why Did Thomas Harriot Invent Binary? · View →
- Communications of the ACM (BLOG@CACM), article by Herbert Bruderer — The Binary System Was Created Long Before Leibniz · View →
- Encyclopaedia Britannica — Numerals and numeral systems - Decimal, Binary, Hexadecimal | Britannica · View →
- Encyclopaedia Britannica — Binary number system | Definition, Example, & Facts | Britannica · View →
- University of Hyderabad, Department of Sanskrit Studies (hosting "A History of Piṅgala's Combinatorics" by Jayant Shah, Northeastern University) — Pingala · View →
- P. P. Divakaran, talk slides for FPSAC 2022 (Bangalore), hosted on the Indian Institute of Science (IISc) Mathematics website — divakaran.pdf · View →
- Leibniz Translations (leibniz-translations.com), translation of Leibniz's 1703 text from Gerhardt (ed.), Die mathematische schriften von Gottfried Wilhelm Leibniz, vol. VII, archived by the Internet … — Leibniz: Explanation of Binary Arithmetic (1703) · View →
- Internet Archive (digitised copy contributed by Duke University Libraries) — An investigation of the laws of thought, : Boole, George, 1815-1864 : Free Download, Borrow, and Streaming : Internet Archive · View →
- Stanford Encyclopedia of Philosophy — George Boole · View →
- Massachusetts Institute of Technology (DSpace@MIT, MIT Libraries) — A symbolic analysis of relay and switching circuits · View →
- Computer History Museum — 1941 | Timeline of Computer History · View →
- Computer History Museum (CHM Revolution) — How Do Digital Computers “Think”? - CHM Revolution · View →
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Sources
- Summary by Intellect · source: Springer (The Mathematical Intelligencer), article by Lloyd Strickland: Why Did Thomas Harriot Invent Binary?
- Also: Communications of the ACM (BLOG@CACM, post by Herbert Bruderer, 10 Oct 2017): The Binary System Was Created Long Before Leibniz
- Also: Encyclopaedia Britannica: Numerals and numeral systems | Examples & Symbols
- Also: Encyclopaedia Britannica: Binary number system | Definition, Example, & Facts | Britannica
- Also: University of Hyderabad, Department of Sanskrit Studies (hosting "A History of Piṅgala's Combinatorics" by Jayant Shah, : Pingala
- Also: P. P. Divakaran, talk slides for FPSAC 2022 (Bangalore), hosted on the Indian Institute of Science (IISc) Mathematics we: divakaran.pdf
- Also: Leibniz Translations (leibniz-translations.com), translation of Leibniz's 1703 text from Gerhardt (ed.), Die mathematisc: Leibniz: Explanation of Binary Arithmetic (1703)
- Also: Internet Archive (digitised copy contributed by Duke University Libraries): An investigation of the laws of thought, : Boole, George, 1815-1864 : Free Download, Borrow, and Streaming : Internet Archive
- Also: Stanford Encyclopedia of Philosophy: George Boole
- Also: Massachusetts Institute of Technology (DSpace@MIT, MIT Libraries): A symbolic analysis of relay and switching circuits
- Also: Computer History Museum: 1941 | Timeline of Computer History
- Also: Computer History Museum: How Do Digital Computers “Think”? - CHM Revolution
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