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- 1number systemis a system that uses distinct symbols to represent a number inside the computer’s memory.
For example, the two numbers 528 and 2A16 both refer to the same quantity, 4210, but their representations are different. - 2base or radix of a number system.it is the number of different symbols (digits) required to represent any given number
For example, a given base, or radix that is equal to three (3), indicates that there are three (3) symbols, | 0, 1, and 2 | used in the system. A number system using four symbols would be base 4 and so forth. The base of a number system is indicated by a subscript following the value of the number.
Note: The larger the base, the more numerals are required. The highest value symbol used in a number system is always one less than the base of the system. - 3Types of Number SystemsBinary Number System
Decimal Number System
Octal Number System
Hexadecimal Number System - 4Binary Number SystemThis is the number system that is the basic foundation of any computer machine. The word “binary” is derived from the Latin root “bini”, which means “in twos” or “binarius”, which means “related to two”. In this system, the base (n) = 2 and includes two symbols from 0 through 1.
- 5Decimal Number SystemThis is the number system that we are all familiar with; it is used by our forefathers basically for the simple reason that they started to learn to count with their ten fingers. The word “decimal” is derived from the Greek word “deka” and Latin word “decem” ”, which means “ten” or “decimalis”, ”, which means “related to ten”. In this system, the base (n) = 10 and includes ten symbols from 0 through 9.
- 6Octal Number SystemThis is the number system that uses base (n) = 8 and includes eight symbols from 0 through 7. The word “octal” is derived from the Latin root “octo”, which means “eight” or “octalis”, which means “related to eight”.
- 7Hexadecimal Number System –This is the number system that uses base (n) = 16 and includes sixteen symbols from 0 through 9 and the letters A = 10, B = 11, C = 12, D = 13, E = 14 and F = 15. The word hexadecimal is derived from the Greek root “hex”, which means “six” and the Latin root “decem”, which means “ten”.
- 8—Conversion from Decimal Number Base System to Any Number Base System
Rules for Successive/Repeated by Base (n) Method
- 9—Conversion from Other Number Base System to Decimal Number System
Rules for Positional Value Method
- 10—Conversion from Binary Number Base System to Octal and Hexadecimal Number Base System
- 11—Conversion from Binary Number Base System to Octal and Hexadecimal Number Base System
- 12—Conversion from Octal and Hexadecimal Number Base System to Binary Number Base System
- 13—Conversion from Octal and Hexadecimal Number Base System to Binary Number Base System
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- Beschreibung
- hard Logic Circuits and Design Karteikarten am 01Handout1 + lec, erstellt von Eljin Aguilar am 14/08/2024.
- Erstellt von
- Eljin Aguilar
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