1101000000001010

1101000000001010 is a binary number. In the binary numeral system, which is the base-2 system, numbers are represented using only two digits: 0 and 1. Each position in a binary number represents a power of 2, starting from 2^0 on the rightmost side.

To convert 1101000000001010 from binary to its decimal (base-10) equivalent, we can assign weights to each digit based on its position. Starting from the rightmost digit as position 0:

The number 1101000000001010 has 16 digits.

The decimal value is calculated as follows:

(1 * 2^15) + (1 * 2^14) + (0 * 2^13) + (1 * 2^12) + (0 * 2^11) + (0 * 2^10) + (0 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)

= 32768 + 16384 + 0 + 4096 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0

= 53258

Therefore, the binary number 1101000000001010 is equivalent to the decimal number 53258. Binary numbers are fundamental in computer science and digital electronics, where they are used to represent all data and instructions.