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Number System Types of Number System Types of positional number system Binary to Decimal Octal to Decimal Hexadecimal to Decimal Decimal to Binary Octal to Binary Hexadecimal to Binary Decimal to Octal
Decimal to Hexadecimal Binary to Octal Binary to Hexadecimal Octal to Hexadecimal Hexadecimal to Octal Exercise – Convert ...
A A number systemnumber system defines how a number can be represented defines how a number can be represented using distinct symbols. A number can be represented using distinct symbols. A number can be represented differently in different systems. For example, the two differently in different systems. For example, the two numbers (2A)numbers (2A)1616 and (52) and (52)88 both refer to the same quantity, both refer to the same quantity, (42)(42)1010, but their representations are different. , but their representations are different.
Several number systems have been used in the past and can Several number systems have been used in the past and can be categorized into two groups: be categorized into two groups: positionalpositional and and non-positionalnon-positional systems. Our main goal is to discuss the positional number systems. Our main goal is to discuss the positional number systems, but we also give examples of non-positional systems, but we also give examples of non-positional systems.systems.
Various positional number system:
1) Binary number system
2) Decimal number system
3) Octal number system
4) Hexadecimal number system
Technique1) Multiply each bit by 2n, where n is the “weight” of the
bit2) The weight is the position of the bit, starting from 0 on
the right3) Add the results
Technique1) Multiply each bit by 8n, where n is the “weight” of the
bit2) The weight is the position of the bit, starting from 0 on
the right3) Add the results
Technique1) Multiply each bit by 16n, where n is the “weight” of the
bit2) The weight is the position of the bit, starting from 0 on
the right3) Add the results
Technique1) Divide by two, keep track of the remainder.2) If remainder is zero then it track zero3) If remainder is not zero then it track 1