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Positional notation
A system of expressing
numbers in which the
digits are arranged in
succession, the position
of each digit has a place
value, and the number is
equal to the sum of the
products of each digit by
its place value
1
Base
The foundational
value of a number
system, which dictates
the number of digits and
the value of digit posi
tions
2.2
Natural Numbers
35
2.2
Natural Numbers
How many ones are there in 943? That is, how many actual things does the
number 943 represent? Well, in grade school terms you might say there are
9 hundreds plus 4 tens plus 3 ones. Or, said another way, there are 900 ones
plus 40 ones plus 3 ones. So how many ones are there in 754? 700 ones plus
50 ones plus 4 ones. Right? Well, maybe. The answer depends on the
base
of the number system you are using. This answer is correct in the base10,
or decimal, number system, which is the number system we humans use
every day. But that answer is not correct in other number system.
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This note was uploaded on 01/13/2011 for the course CSE 1550 taught by Professor Marianakant during the Fall '10 term at York University.
 Fall '10
 MARIANAKANT

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