101010100110100

101010100110100 is a binary string consisting of 16 characters. It represents a number in base 2, with each digit corresponding to a power of 2.

To decode this binary string, each digit from right to left represents 2 to the power of its position, counting from 2^0 (1) to 2^15 (32768). In the case of 101010100110100, these positions and their corresponding values are:

* 2^0 = 1

* 2^1 = 2

* 2^2 = 4

* 2^3 = 8

* 2^4 = 16

* 2^5 = 32

* 2^6 = 64

* 2^7 = 128

* 2^8 = 256

* 2^9 = 512

* 2^10 = 1024

* 2^11 = 2048

* 2^12 = 4096

* 2^13 = 8192

* 2^14 = 16384

* 2^15 = 32768

By multiplying these values with their respective binary digits (1 or 0) and summing the results, the decimal equivalent of 101010100110100 can be calculated.

Using this method, we find that 101010100110100 represents the decimal number 3264.