[PDF] CFS10BT-Number Systems- Notes-PDF - Studocu

What is a number system?

1.1 A closer look at number systems We begin by introducing some terminology used to describe number systems. Our current number system is both positional and base 10. The system is positional because the position of each digit determines its value.

How many digits are there in a decimal number system?

In the decimal number system, there are ten possible values that can appear in each digit position, and so there are ten numerals required to represent the quantity in each digit position. The decimal numerals are the familiar zero through nine (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). In a positional notation system, the number base is called the radix.

Is the number system positional or base 10?

Our current number system is both positional and base 10. The system is positional because the position of each digit determines its value. For instance, the number 333 is written with three identical symbols, or digits, but each digit represents a dierent value.

Do Roman numerals have a positional system?

Historically important civilizations, like the Romans, did not develop a positional system. Roman numerals have fxed values which do not depend on their placement in the string (although there is a formal grammar which dictates proper arrangement of numerals in a string).