Fill in the following blanks, where m and n are integers with m greaterthanorequ

Question

Fill in the following blanks, where m and n are integers with m greaterthanorequalto 1 and n > 1 (and where we are only interested in representing non-negative integers for now) a. n base n, we represent numbers using digit o through __________. b. In base n, an m-digit number can be used to represent __________.distinct integers. c. In base n, an m-digit number can be used to represent integers zero through __________. d. In general, any power of n, written in base n, has the following form: __________. e. In general, n^k - 1, written in base n, where k is some positive integer, has the following form: __________.

Explanation / Answer

a. In base n, we represent numbers using digits 0 through n-1.

b. In base n, an m-digit number can be used to represnt n^m distinct integers.

c.  In base n, an m-digit number can be used to represnt integers zero through n^m-1.

d. In general, any power of n, written in base n, has the following form: 10^power

e. In general, n^k-1, written in base n, where k is some positive integer, has the following form: (n-1)*(Number of ones as k)

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