P is represented as P=xaya+xa−1ya−1+.....x1y+x0 where 0<x0..x

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P is represented as $P = x_{a} y^{a} + x_{a - 1} y^{a - 1} + . . . . . x_{1} y + x_{0}$ where $0 < x_{0} . . x_{a} \leq y - 1$ . If x and y are positive integers and y=4, then which of the following could be a representation of an integer with y as a base?

Answer: Option C
:
C

When the base is 4, the maximum digit the number can contain is 3, it cannot contain 4.

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