Question

Why are rules required for a number system to be useful?

Answer 1

Rules are required for a number system because computers relay on number system and its Basics of Computers - Number System. The method to represent and work with numerals is called number system. Decimal number system is the most commonly used number system which is used in our daily lives but computers do not understand this system. Some of popular number systems that computers consists are binary number system, octal number system, hexadecimal number system, etc.

Further Explanation:

⦁ Computers uses different number systems, that is why we have different rules for every different number systems, for every number system to be understandable to computers, we clearly need to define specific rules to follow for computation.

⦁ There are four main types of number systems, Decimal, Binary, the Octal and the Hexadecimal.

⦁ Binary Number System: An example of basic number system that computer uses is binary number system, based on number system of 2 digits (base two), which is 0 and 1. Its considered as perfect numbering system for computers and computers relay on this number system.

⦁ Decimal Number System: is a base 10 number system, which is consists of 10 digits from 0 to 9, that w use in our daily lives,  This means that any numerical entity can be represented using these 10 digits. Decimal number system consists of ten single-digit numbers.

⦁ The Octal Number System: The octal numeral system defined as the base-8 number system, which uses the digits 0 to 7. Octal numerals can be made from binary numerals, it is made by grouping consecutive binary digits into groups of three (start from the right to left).

Answer details

Grade: High School

Subject: Computer Science and Technology

Chapter: Binary Mathematics

Keywords: number systems, binary mathematics, binary number system, octal number system, decimal to binary conversion etc

Answer 2

Answer

This is because without them no one would know how much each symbol represents, and no one would be able to decipher the message.

Explanation

Number system is a way to represent numbers. It  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.

In computing or in a computer number systems are the techniques which represents numbers in the computer system architecture where   every value that you are saving or getting into/from computer memory has a defined number system.Computer architecture supports  . Binary number system,Octal number system and Decimal number system.