lucycubbage
lucycubbage lucycubbage
  • 06-07-2017
  • Mathematics
contestada

convert base 10 273 to a base 12

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LammettHash
LammettHash LammettHash
  • 06-07-2017
The highest power of 12 that divides 273 (with remainder) is [tex]12^2=144[/tex], and dividing gives

[tex]273=1(144)+129[/tex]

Divide the remainder term by the next highest power of 12, [tex]12^1=12[/tex].

[tex]129=10(12)+9[/tex]

So [tex]273_{10}=1a9_{12}[/tex], since

[tex]273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0[/tex]
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