Convert the following: (B2F8)16 = (?)10

To convert a hexadecimal number to a decimal number, you need to understand the base values of each system. The hexadecimal system is a base-16 system, which means it uses 16 symbols to represent numbers. These symbols are 0-9 and A-F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

The decimal system, on the other hand, is a base-10 system, which means it uses 10 symbols to represent numbers (0-9).

The hexadecimal number (B2F8)16 can be converted to a decimal number by multiplying each digit of the hexadecimal number by 16 raised to the power of its position, starting from 0 on the right.

Here is the step-by-step process:

1. Identify each digit of the hexadecimal number. In this case, the digits are B, 2, F, and 8.

2. Convert each hexadecimal digit to its decimal equivalent. Using the hexadecimal system, B is 11, 2 is 2, F is 15, and 8 is 8.

3. Multiply each decimal equivalent by 16 raised to the power of its position, starting from 0 on the right. The positions of B, 2, F, and 8 are 3, 2, 1, and 0, respectively.

Here is the calculation:

(B)16 * (16^3) + (2)16 * (16^2) + (F)16 * (16^1) + (8)16 * (16^0) = (11)10 * (4096)10 + (2)10 * (256)10 + (15)10 * (16)10 + (8)10 * (1)10 = 45056 + 512 + 240 + 8 = 45816

So, (B2F8)16 = (45816)10

This means that the hexadecimal number B2F8 is equivalent to the decimal number 45816.