Write the number 2014 in bases 5 7 and 12Solution1 Any numbe

Write the number 2014 in bases 5, 7, and 12.

Solution

1. Any number in base 5 will be taken as,

......625 | 125 | 25 | 5 | 1 |

2014 will be written as 625 X 3 +125 X1 +5 X 2 + 1 X 4

Base 5 for 2014 is 31024

2. For 7 it will be,

.... | 2401 | 343 | 49 | 7 | 1 |

2014 in base 7 is written as 5 X 343 + 6 X 49 + 5

Base 7 for 2014 is 5605

3. For 12 it is written as

... |1728|144| 12| 1|

2014 in base 12 is written as 1 X 1728 + 1 X 144 + 11 X 12 +10 X 1

Base 12 for 2014 is 11BA

Write the number 2014 in bases 5, 7, and 12.Solution1. Any number in base 5 will be taken as, ......625 | 125 | 25 | 5 | 1 | 2014 will be written as 625 X 3 +12

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