What is the base 5 representation of the number 465^8 a) 1231(5) b) 1141(5) c) 2214(5) d) 2351(5)

Answer  

Option C : 2214(5)

Solution

The given number is 465 in base 8. To convert this number to base 5,we need to convert this number to base 10, then only we can compute the number in base 5

Step1 : Convert 465 to the base 8 to base 10

4 x 82=256

6 x 81=48

5 x 80=5

Adding 256 + 48+ 5 = 309(10)

Step2 : Convert 309(10) to base 5  

5 | 309  

5 | 61 |4

5 | 12 | 1

5 | 2  | 2

5 | 0  | 2

Therefore Answer = 2214(5 )