1001101111111

The binary number 1001101111111 represents a sequence of 13 digits, each either a 0 or a 1. In binary numeral system, which is base-2, each digit is referred to as a bit. The leftmost bit is the most significant bit (MSB), and the rightmost bit is the least significant bit (LSB). In the case of 1001101111111, the MSB is 1, and the LSB is 1.

To convert this binary number to its decimal (base-10) equivalent, each bit is multiplied by 2 raised to the power of its position, starting from 0 at the rightmost bit. For 1001101111111, this would be calculated as follows:

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

This simplifies to:

4096 + 0 + 0 + 512 + 256 + 0 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 5023

Therefore, the binary number 1001101111111 is equivalent to the decimal number 5023. This conversion is useful in computer science and digital electronics, where binary numbers are commonly used to represent data and instructions.