# Answer to Question #17897 in C++ for Asma

Question #17897

Write a C++ program that reads as a variable an integer containing only 0s and 1s (i.e., a binary integer) and returns its decimal equivalent.

Hint:

Use the remainder and division operators to pick off the binary number’s digits one at a time, from right to left. In the decimal number system, the rightmost digit has a positional value of 1 and the next digit to the left has a positional value of 10, then 100, then 1000, and so on.

The decimal number 234 can be interpreted as 4 * 1 + 3 * 10 + 2 * 100. In the binary number system, the rightmost digit has a positional value of 1, the next digit to the left has a positional value of 2, then 4, then 8, and so on. The decimal equivalent of binary 1101 is 1 * 20 + 0 * 21 + 1 * 22 + 1 * 23, or 1 + 0 + 4 + 8 or, 13.

Hint:

Use the remainder and division operators to pick off the binary number’s digits one at a time, from right to left. In the decimal number system, the rightmost digit has a positional value of 1 and the next digit to the left has a positional value of 10, then 100, then 1000, and so on.

The decimal number 234 can be interpreted as 4 * 1 + 3 * 10 + 2 * 100. In the binary number system, the rightmost digit has a positional value of 1, the next digit to the left has a positional value of 2, then 4, then 8, and so on. The decimal equivalent of binary 1101 is 1 * 20 + 0 * 21 + 1 * 22 + 1 * 23, or 1 + 0 + 4 + 8 or, 13.

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