1101100101

1101100101 is a binary number. In the binary numeral system, also known as base-2, only two symbols are used: 0 and 1. Each digit in a binary number represents a power of two.

To convert 1101100101 to its decimal (base-10) equivalent, we assign place values from right to left, starting with 2^0. The binary number 1101100101 can be expanded as follows:

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

This calculation results in:

512 + 256 + 0 + 64 + 32 + 0 + 0 + 4 + 0 + 1 = 869

Therefore, the binary number 1101100101 is equivalent to the decimal number 869. Binary numbers are fundamental in computer science and digital electronics, as they are the basis for representing and processing data. Every piece of information in a computer, from text to images, is ultimately stored and manipulated using sequences of 0s and 1s.