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MATH / When the base-b number 11011_(b) is multiplied by b−1, then 1001_(b) is added, what is the result (written in base b)?

Problem

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problem

When the base-bb number 11011b11011_b is multiplied by b−1b-1, then 1001b1001_b is added, what is the result (written in base bb)?
Plain-text mathematical notation (without MathML)
When the base-b number 11011_(b) is multiplied by b−1, then 1001_(b) is added, what is the result (written in base b)?
Original LaTeX notation
When the base-$b$ number $11011_b$ is multiplied by $b-1$, then $1001_b$ is added, what is the result (written in base $b$)?

level

Level 5

type

Number Theory

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