Question

Of What do you understand by number Systena.​

Answer 1

Answer:

A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. ... The number the numeral represents is called its value.

Explanation:

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Answer 2

Answer:

Abstract Algebra is, loosely speaking, the study of number systems (plural). Go learn Abstract Algebra for several years including groups, rings, fields, and modules. You could also learn some Category Theory which goes even one level higher in abstraction. (A category is sort of like a “kind” of number system, though it's much broader than that.)

At the very least, take enough Analysis to really understand the distinction between the real numbers and the rational numbers, as well as how to construct the former from the latter. You might also read On Numbers and Games by the late, great John H. Conway which discusses the Surreal numbers in depth.

Master a few of these topics and you can claim to understand what a number system is.

A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number three in the binary numeral system (used in computers) and the number eleven in the decimal numeral system(used in common life).

The number the numeral represents is called its value.

Ideally, a numeral system will:

1. Represent a useful set of numbers (e.g. all integers, or rational numbers)
2. Give every number represented a unique representation (or at least a standard representation)
3. Reflect the algebraic and arithmetic structure of the numbers.