Question on Converting Between Base Numbers
The people of Jupiter use Base 13. Therefore, their numerals are 0,1,2,3,4,5,6,7,8,9,A,B,C.
The people on Saturn use Base 7. Therefore, their numerals are 0,1,2,3,4,5,6.
A person on Jupiter has A906BC Jupits on Jupiter. This same person has 65325406 Jupits in her bank account on Saturn.
Which bank account holds more money and by how much?
Thanks so much, really having trouble here with this and any help would be much appreciated!!!
Jovian bank account: $10 \cdot 13^5 + 9 \cdot 13^4 + 6 \cdot 13^2 + 11 \cdot 13^1 + 12 = 3971148 \text{ Jupits}$
Saturnian bank account: $6 \cdot 7^7 + 5 \cdot 7^6 + 3 \cdot 7^5 + 2 \cdot 7^4 + 5 \cdot 7^3 + 4 \cdot 7^2 + 6 = 5586643 \text{ Jupits}$
The remaining parts should be easy for you.