dahalsiddhanta82
dahalsiddhanta82 dahalsiddhanta82
  • 20-08-2021
  • Mathematics
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b) Convert 101, into denary number​

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LammettHash
LammettHash LammettHash
  • 20-08-2021

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

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