arleneo661 arleneo661
  • 30-09-2021
  • Mathematics
contestada

18. Determine the greatest three-digit number in each of the
following bases.
a. Base two
b. Base twelve

Respuesta :

LammettHash
LammettHash LammettHash
  • 30-09-2021

If you're asking about the largest number that can be written with 3 digits in the given base:

• In base 2, the largest number with 3 digits is

111₂ = 1•2² + 1•2¹ + 1•2⁰ = 7

• In base 12, the largest number with 3 digits is

bbb₁₂ = 11•12² + 11•12¹ + 11•12⁰ = 1727

(in base 12, a₁₂ = 10 and b₁₂ = 11)

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