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Binary Numbers and Arithmetic

1981
A wide range of numbering systems is in use today, the most common being the decimal or denary system. This system utilises the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. It is important to note that the first number is zero, and that the tenth number is nine.
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Piṅgala Binary Numbers

2009
Besides using several mathematical formulas regarding permutations, combinations, geometric progression, and binomial coefficients, Ācārya Piṅgala applied binary codes to discuss the listing of even meters. Piṅgala’s Chandas Śāstram, the science of meters is the oldest authoritative work on Vedic and Sanskrit prosody.
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ON THE REPRESENTATION OF NUMBERS BY BINARY BIQUADRATIC FORMS

Mathematics of the USSR-Sbornik, 1969
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Binary Adder: A Flow Chart for the Addition of Binary Numbers

The Mathematics Teacher, 1973
Flowcharting has proved extremely useful in activities ranging from programmed instruction to computer programming. Flowcharting binary addition offers students a mathematical setting for an excellent initial experience in flow charting.
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A digital comparator for binary or binary-coded decimal numbers

Nuclear Instruments and Methods, 1964
Abstract This paper examines the problem of comparing two binary or binary-coded decimal numbers to determine which is the greater or to recognise equality when it occurs. It is shown that this problem can be economically and conveniently solved by means of standard NOR and NAND circuits, with all the engineering advantages that the implies.
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Number of Binary Trees

1981
A data encoding scheme involving binary tree encodements is presented and analyzed. A closed-form formula for the number of n-bit legal memory configurations is developed. It is shown that the storage capacity loss due the use of this scheme is not significant for large n.
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The Universe of Binary Numbers

2017
Our main goal in this chapter is to stimulate reasoning by analogy and to show that the same concept can be viewed from several different perspectives. The material presented here is illustrated with a good number of examples. Some of the sections are very speculative, and may appear chaotic.
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Binary Number System

2018
The binary number system (base 2) is a positional number system which uses two binary digits 0 and 1. The binary system is ideally suited to the digital world of computers, as a binary digit may be implemented by an on-off switch. Digital devices that store information or data on permanent storage media such as disks and CDs or temporary storage media ...
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