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Number Systems

  A Number System is a set of numbers. The numbers are the  System Elements of the Number System. The Number System can be understood with the help of Number System Elements. The Number System Elements are the structural units of the Number System. The number of distinct symbols that are used to design a Number System decides the nomenclature of the Number System. The cardinality of Number System Elements is called the base, or radix of the Number System.  The Binary Number System has a base equal to two. This means that there are two distinct symbols in the Binary Number System. The two unique symbols that are used to frame Binary Numbers are: '0', and '1'.  '0' and '1' are the symbols that are used in the Binary N umber System.  Likewise the Decimal Number System has a base equal to ten. So, there are ten distinct symbols (digits) that are used to structure a decimal number.  The symbols that are employed in a Number System are called numerals. These ...