100001101

100001101 is a binary number. In the decimal system, it represents the value 269. Binary numbers use only two digits, 0 and 1, to represent numerical values, forming the basis of digital computing. Each digit in a binary number is a "bit," and its position denotes a power of two. Starting from the rightmost digit, the positions represent 2^0, 2^1, 2^2, and so on, moving left.

To convert 100001101 to decimal, we sum the products of each digit and its corresponding power of two. For 100001101:

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

= (1 * 256) + (0 * 128) + (0 * 64) + (0 * 32) + (0 * 16) + (1 * 8) + (1 * 4) + (0 * 2) + (1 * 1)

= 256 + 0 + 0 + 0 + 0 + 8 + 4 + 0 + 1

= 269.

Therefore, the binary sequence 100001101 is equivalent to the decimal number 269. This binary representation is fundamental to how computers store and process information, as electronic circuits are designed to operate with two distinct states, typically represented by 0 and 1.