shri14578 shri14578
  • 11-10-2022
  • Mathematics
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Please see no 17 attached.

Please see no 17 attached class=

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Taraee15440 Taraee15440
  • 11-10-2022

To convert the number given in base 7 to a bse 10 number we follow the procedure shown, that is, we need to multiply each number by the appropiate power of seven (given by their position) and then add them, then we have that:

[tex]\begin{gathered} 21603_{\text{seven}}=(2\times7^4)+(1\times7^3)+(6\times7^2)+(0\times7^1)+(3\times7^0) \\ 21603_{\text{seven}}=5442_{\text{ ten}} \end{gathered}[/tex]

Therefore:

[tex]21603_{\text{seven}}=5442_{\text{ ten}}[/tex]

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