0b1100

0b1100 is a binary number. The "0b" prefix is a common notation used in many programming languages to indicate that the following digits represent a binary (base-2) number. In the binary system, only two digits are used: 0 and 1. Each digit's position represents a power of 2, starting from the rightmost digit as 2 to the power of 0, then 2 to the power of 1, and so on.

To convert 0b1100 to its decimal (base-10) equivalent, we examine the position of each '1'. The rightmost digit is 0, which corresponds to 2^0 (or 1). The next digit to the left is also 0, corresponding to 2^1 (or 2). The third digit from the right is 1, representing 2^2 (or 4). The leftmost digit is 1, representing 2^3 (or 8). Therefore, 0b1100 is calculated as (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0) = 8 + 4 + 0 + 0 = 12.

Thus, the binary number 0b1100 is equivalent to the decimal number 12. Binary representation is fundamental to computer science, as computers operate using electrical signals that can be in one of two states, typically represented as 0 and 1. This system is the basis for all digital data processing and storage.

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