It can be done quickly and efficiently when one of the bases is a power of the other (for example from 2 to 8, or 3 to 9, or 2 to 16). I will cover that case in a post later this week. The technique can be extended for converting from, say, 8 to 16 as well (via 2). From any random base to any other random base, well, probably safest to do the slow and steady method via 10…
For 85/4…. remainder would be 1. And no. would be 1111 in base 4. Bhavnao ko samaj liya hai, just commenting so that if someone gets confused in future can refer it.
CAT-holics 
How to convert base x to base y where x, y != 10. I can convert it via 10 (base x to base 10, then base 10 to base y) but any other shorter method ?
It can be done quickly and efficiently when one of the bases is a power of the other (for example from 2 to 8, or 3 to 9, or 2 to 16). I will cover that case in a post later this week. The technique can be extended for converting from, say, 8 to 16 as well (via 2). From any random base to any other random base, well, probably safest to do the slow and steady method via 10…
regards
J
which of the following cannot be perfect sqaures in any base system?
a. 75
b. 37
C 45
LOGIC BEHIND SOLVING?
Hello J,
For 85/4…. remainder would be 1. And no. would be 1111 in base 4. Bhavnao ko samaj liya hai, just commenting so that if someone gets confused in future can refer it.