# Mixed Radix Number Representations

Mixed Radix Number Representations

In conventional positional notation systems, a numeral written as has the value where is called the radix or base of the number system. The multipliers for each digit thus proceed from right to left in geometric sequence and each is a constant multiplied by the multiplier of the digit to the right. This representation of numbers is often extremely convenient. There are instances, however, where it is useful to denote a numeric quantity where the ratio between the multiplier of a digit and the digit on its right is not necessarily a constant. Such representation systems are called mixed radix or mixed base number systems. This Demonstration shows how numbers represented in conventional positional notation systems can be represented as a mixed base form.

d

3

d

2

d

1

d

0

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d

3

d

2

d

1

d

0

3

b

2

b

1

b

0

b

b

b