11001011110001
The binary number 11001011110001 is a sequence of 13 digits, each representing a bit in binary notation. In binary, each digit can be either 0 or 1, and the position of each digit corresponds to a power of 2, starting from the rightmost digit (which represents 2^0). To convert this binary number to decimal, one would multiply each digit by its corresponding power of 2 and then sum the results. For 11001011110001, this would be:
(1*2^12) + (1*2^11) + (0*2^10) + (0*2^9) + (1*2^8) + (0*2^7) + (1*2^6) + (1*2^5) + (1*2^4) + (1*2^3) + (0*2^2) + (0*2^1) + (1*2^0)
This calculation yields the decimal equivalent of 6393. Binary numbers are commonly used in computing and digital