0b1100111110

0b1100111110 is a binary number. The "0b" prefix is a common convention used to indicate that the following digits represent a number in base-2, or binary, form. In binary, numbers are composed only of the digits 0 and 1. Each position in a binary number represents a power of 2, starting from 2^0 on the rightmost side and increasing to the left.

To convert 0b1100111110 to decimal, we can multiply each binary digit by its corresponding power of 2 and sum the results. Starting from the rightmost digit:

0 * 2^0 = 0

1 * 2^1 = 2

1 * 2^2 = 4

1 * 2^3 = 8

1 * 2^4 = 16

0 * 2^5 = 0

0 * 2^6 = 0

1 * 2^7 = 128

1 * 2^8 = 256

0 * 2^9 = 0

Summing these values: 0 + 2 + 4 + 8 + 16 + 0 + 0 + 128 + 256 + 0 = 414. Therefore, the binary number 0b1100111110 is equivalent to the decimal number 414. This binary representation is often used in computer science and digital electronics to represent data and perform calculations.