Lesson 1, Topic 2
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# Converting Numbers in Base 10 to Other Bases

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To convert from denary (ie.. base 10) to another base

a. Divide the given denary repeatedly by the new base number.
b. Continue dividing until zero is obtained, writing down the reminder at every stage.
c. The answer is the remainder read upon wards (i.e. from bottom to top).

### Example 1

Convert these numbers in base ten to base six

a. 43
b. 9054
c. 7054

Solution

a. 43

=  111six

b. 9054

=  105530six

c. 7054

=  52354six

### Example 2

Convert these numbers in base 10 to base two

a. 53
b. 38
c. 9

Solution

a. 53

=  110101 two

b. 38

=  100110two

c. 9

=  1001two

### Example 3

Convert these numbers to base 8

a. 768
b. 609

Solution

a. 768

= 1400eight

b. 609

=  1141eight

### Example 4

Convert these numbers to base seven

a. 76
b. 405

Solution

a. 76

=  136 seven

b. 405

=  1116seven

#### Responses

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2. It was great 👍 error: