10001110100010

10001110100010 is a binary number. In the binary numeral system, also known as base-2, only two digits, 0 and 1, are used to represent numbers. Each digit's position in a binary number corresponds to a power of 2, starting from 2^0 on the rightmost side.

To convert 10001110100010 to its decimal (base-10) equivalent, we can multiply each digit by its corresponding power of 2 and sum the results. Starting from the rightmost digit (which is at position 0):

0 * 2^0 = 0

1 * 2^1 = 2

0 * 2^2 = 0

0 * 2^3 = 0

0 * 2^4 = 0

1 * 2^5 = 32

0 * 2^6 = 0

1 * 2^7 = 128

1 * 2^8 = 256

0 * 2^9 = 0

0 * 2^10 = 0

0 * 2^11 = 0

1 * 2^12 = 4096

0 * 2^13 = 0

0 * 2^14 = 0

1 * 2^15 = 32768

Summing these values: 0 + 2 + 0 + 0 + 0 + 32 + 0 + 128 + 256 + 0 + 0 + 0 + 4096 + 0 + 0 + 32768 = 37282. Therefore, 10001110100010 in binary is equivalent to 37282 in decimal. Binary numbers are fundamental in computing and digital electronics, forming the basis of all data representation and processing.