Posted by **Debra** on Sunday, December 6, 2009 at 8:21pm.

write each of the following in the indicated base.

1011two to base ten

1574 to base twelve

MCMLIV to base ten

- College Math 213 -
**Reiny**, Sunday, December 6, 2009 at 9:38pm
1011two to base ten

= 1(2^3) + 0(2^2) + 1(2) + 1

= 11

1574 to base twelve

powers of 12:

12, 144, 1728 , ...

1574/144 = 10 with remainder of 134

134/12 = 11 with remainder of 2

so 1574 = 10(12)^2 + 11(12) + 2

= AB2 in base 12

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