Which representation is used to convert hex number 2F to decimal?

To convert a hexadecimal number like 2F to its decimal equivalent, we need to understand the position value of each digit in the hexadecimal system. In this example, the hexadecimal number 2F consists of two digits: '2' and 'F'.

In hexadecimal, digits represent values from 0 to 15. The letter 'F' corresponds to 15 in decimal. Each digit's value is multiplied by 16 raised to the power of its position (starting from 0 on the right). Therefore, the positional values for the digits in 2F are computed as follows:

• The '2' is in the 16's place (the second position from the right), and its value is (2 \times 16^1).

• The 'F' (which is 15 in decimal) is in the 1's place (the first position from the right), and its value is (15 \times 16^0).

So, in total, the conversion is:

• ( (2 \times 16^1) + (15 \times 16^0) )

• This simplifies to ( (2 \times 16) + (15 \times 1) ), which gives