10011110100

10011110100 is a binary number. In base 2, it consists of ten digits, with the leftmost digit being 1 and the rightmost digit being 0. Each position in a binary number represents a power of 2, starting from 2^0 on the right. To convert 10011110100 to its decimal equivalent, we would sum the values of the positions where a 1 is present.

Starting from the rightmost digit (which represents 2^0), the positions correspond to powers of 2 from 0 to 10. The binary number 10011110100 can be expanded as follows:

(1 * 2^10) + (0 * 2^9) + (0 * 2^8) + (1 * 2^7) + (1 * 2^6) + (1 * 2^5) + (1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0)

Calculating these values:

(1 * 1024) + (0 * 512) + (0 * 256) + (1 * 128) + (1 * 64) + (1 * 32) + (1 * 16) + (0 * 8) + (1 * 4) + (0 * 2) + (0 * 1)

This sum equals 1024 + 128 + 64 + 32 + 16 + 4, which results in 1268. Therefore, the binary number 10011110100 is equivalent to the decimal number 1268. Binary numbers are fundamental in computer science and digital electronics, forming the basis of all digital data representation.