0b100001100

0b100001100 is a binary number, which is a base-2 numeral system used in digital electronics and computing. In this system, each digit, or bit, can be either 0 or 1. The number 0b100001100 is composed of 10 bits, with the first two digits being "0b" to indicate that the number is in binary format. The remaining 8 bits are "100001100".

To convert this binary number to a decimal (base-10) number, each bit is multiplied by 2 raised to the power of its position, starting from 0 on the right. For 0b100001100, the conversion would be as follows:

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

This simplifies to:

256 + 0 + 0 + 0 + 0 + 8 + 4 + 0 + 0 = 268

Therefore, the decimal equivalent of the binary number 0b100001100 is 268.

Binary numbers are fundamental in computer science and digital electronics, as they are used to represent data in the form of bits. Understanding binary numbers is essential for tasks such as programming, data storage, and digital circuit design.