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Using Python Decimal System Base 10 Natural Number Represented Sequence Dndn 1 D0 Decim Q43824313

Using Python

In the decimal system (base 10), a natural number is representedas a sequence dndn?1 . . . d0 of (decimal) digits, each of which isin the range 0..9. The value of the number is d0 ×100 +d1 ×101+···+ dn ×10n. Similarly, in the binary system (base 2), a naturalnumber is represented as a sequence bnbn?1 · · · b0 of (binary)digits, each of which is 0 or 1. The value of the number is b0 ×20+b1 ×21 +···+bn ×2n. For example, the value of the number whosebinary representation is 101 is: 1×20+0×21+1×22 =1+0+4=5.

(i) Without using any built-in functions for converting numbers,write a function that takes as input the binary representation of apositive integer n and returns its decimal representation.

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