10$ C&NVEESION OF NUMBERS FROM ONE SCALE TO ANOTHER, 



1 = 1 = 



1 



10.7 = <p X 7 = 



5<p 



10*.6 zz 84X 6 = 



420 



lO'.l zz6y4x 1 = 



6y4 



10*7 ZZ5954X 7 — 



34614 





5S587 Ans, 



IjcaiDfitek Transform 11111 to the senary scale. 



Here 11111 — 10* + 10'+ 10* + 10 + 



1=1 = 1 



10 =14 =14 



102 — 14 X 14 =: 244 

 10' = 244 X 14 = 4344 

 10* = 4344 X 14 = 114144 



123235 Arts. 



i:«»inj{&% Convert 1248 into the binary scale. 



First 1248 = lo'.-f- 10*.2 + 10.4 + 8. 



10 rr 1010 



10* =: 1010 X 1010 = IIOOIOO 



lO^" — 1100100 X 1010 r: 1111101000 



again & =1000 = 1000 



10.4 = 1010 X 100= 101000 



10» X 2 = 1100100 X 10= 11001000 



10* = 1111101000 



Ans 1001 1 100000 



Easy iia piBc- Various other examples might be given, but the above are 

 iS**^ sufficient for pointing out the method of transformation, 



which will become remarkably easy wi;th a v»ry little prac- 

 tice. We might also pursue the subject still farther, by con- 

 verting a number from one scale to another, neither of 

 which is the decimal ; but this is perhaps better effected, by 

 first transforming the numbers into the decimal scale, and 

 afterwards into that proposed. 

 AppHcafeion I shall conclude now with showing the application of what 



