[PROGG] Number System

• Number System is an assemblage of symbols used to denote the count of things, sequence of events, or the measure of magnitude or simply a method of specifying values for certain quantities.
• A digital system can understand positional number system only where there are a few symbols called digits and these symbols represent different values depending on theposition they occupy in the number.
• A value of each digit in a number can be determined using

  • The digit
  • The position of the digit in the number
  • The base of the number system (where it is defined as the total number of digits available in the number system)
• Most significant digit ay nasa left side
• Least significant digit is nasa right side
• Decimal Number System is what we use in our day-to-day life. It has base 10 as it uses 10 digits from 0 to 9. The successive positions to the left of the decimal point represents units, tens, hundreds, thousands and so on.
• The binary number system is used to model the series of electrical signals computers use to represent information. It is also called as Base 2 System
• Binary digit is abbreviated to the term bit
• 0 represents the no voltage or an off state
• 1 represents the presence of voltage or an on state
• Octal Number System also known as Base 8 uses digits 0-7 and can readily converts to binary. Groups of three (binary) digits can be used to represent each octal digit.
• Hexadecimal Number System is a base 16 system that uses digits 0-9 and letters A-F. Groups of four bits represent each base 16 digit
• Number System to Decimal

  The easiest method for converting a non-decimal digit to its decimal equivalent is to use the Multiplication Algorithm.
• Decimal to Any Number System

  The easiest way to convert a decimal number to any number system equivalent is to use the Division Algorithm