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Topic Content:
- Converting Numbers in Base 10 to Other Bases
To convert from denary (i.e. 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 (R) read upon wards (i.e. from bottom to top).
Worked Example 1.1.2:
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
Worked Example 1.1.2:
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
Worked Example 1.1.3:
Convert these numbers to base 8
a. 768
b. 609
Solution
a. 768
= 1400eight
b. 609
= 1141eight
Worked Example 1.1.4:
Convert these numbers to base seven
a. 76
b. 405
Solution
a. 76
= 136 seven
b. 405
= 1116seven
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