10111010101000

10111010101000 is a sequence of binary digits, commonly referred to as a binary number. In the decimal system, this binary number is equivalent to 23880. Binary is a base-2 numeral system that uses only two symbols, typically "0" and "1", to represent numerical values. This system is fundamental to digital electronics and computing, as electronic circuits can easily represent these two states (e.g., on or off, high or low voltage).

The conversion from binary to decimal follows a positional notation system. Each digit in the binary number represents a power of 2, starting from 2^0 on the rightmost side. For 10111010101000, the calculation is as follows: (1 * 2^13) + (0 * 2^12) + (1 * 2^11) + (1 * 2^10) + (1 * 2^9) + (0 * 2^8) + (1 * 2^7) + (0 * 2^6) + (1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0) = 8192 + 0 + 2048 + 1024 + 512 + 0 + 128 + 0 + 32 + 0 + 8 + 0 + 0 + 0 = 11944. This appears to be an error in the initial calculation. Let's re-calculate: (1 * 2^13) + (0 * 2^12) + (1 * 2^11) + (1 * 2^10) + (1 * 2^9) + (0 * 2^8) + (1 * 2^7) + (0 * 2^6) + (1 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0) = 8192 + 0 + 2048 + 1024 + 512 + 0 + 128 + 0 + 32 + 0 + 0 + 0 + 0 + 0 = 11936. My apologies, the initial stated decimal value of 23880 was incorrect. The correct decimal equivalent of the binary number 10111010101000 is 11936.