0b1000010

0b1000010 is a binary literal representing a specific numerical value. In the binary number system, each digit's position represents a power of two, starting from the rightmost digit as 2^0, then 2^1, 2^2, and so on. To convert 0b1000010 to its decimal equivalent, we sum the products of each digit and its corresponding power of two. The leftmost digit is in the 2^6 position, the next is 2^5, and so forth.

For 0b1000010, the calculation is as follows:

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

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

= 64 + 0 + 0 + 0 + 0 + 2 + 0

= 66

Therefore, the binary literal 0b1000010 is equivalent to the decimal number 66. This representation is commonly used in computer science and programming to denote integer values directly in their binary form. The '0b' prefix is a convention used in many programming languages, such as Python, to explicitly indicate that the following digits constitute a binary number. Without this prefix, '1000010' would typically be interpreted as a decimal number.