Question

Convert base 10 273 to a base 12

Answer 1

The highest power of 12 that divides 273 (with remainder) is
`12^2=144`, and dividing gives


`273=1(144)+129`

Divide the remainder term by the next highest power of 12,
`12^1=12`.


`129=10(12)+9`

So
`273_(10)=1a9_(12)`, since


`273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0`