1000010000111010

1000010000111010 is a binary number. In the decimal system, this number is equivalent to 65754. It is composed of sixteen digits, all of which are either 0 or 1. The leftmost digit represents the most significant bit (MSB) and the rightmost digit represents the least significant bit (LSB). Each position in a binary number represents a power of 2, starting from 2^0 on the right. Therefore, 1000010000111010 can be expanded as follows: 1 * 2^15 + 0 * 2^14 + 0 * 2^13 + 0 * 2^12 + 0 * 2^11 + 1 * 2^10 + 0 * 2^9 + 0 * 2^8 + 0 * 2^7 + 0 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0. This calculation results in the decimal value of 65754. Binary numbers are fundamental to digital computing, as they are the basis for all data representation and processing within electronic devices.