What decimal number does the hexadecimal letter 'F' represent?

What decimal number does the hexadecimal letter 'F' represent?

• A. 14
• B. 15
• C. 16
• D. 10

Answer: (B)

The hexadecimal system is a base-16 numbering system, which uses the digits 0-9 to represent values zero to nine and the letters A-F to represent values ten to fifteen. Specifically, the letter 'F' in hexadecimal corresponds to the decimal value of 15. This is derived from the positional value of 'F', which can also be thought of as 15 multiplied by 16 raised to the power of 0 (since it is in the units place, or 16^0). In simpler terms, 'F' does not have any other positional consideration and directly translates to the decimal number 15. Understanding this conversion is crucial in areas such as computing and digital electronics, where hexadecimal is often used for succinctly representing binary values.

The hexadecimal system is a base-16 numbering system, which uses the digits 0-9 to represent values zero to nine and the letters A-F to represent values ten to fifteen. Specifically, the letter 'F' in hexadecimal corresponds to the decimal value of 15.

This is derived from the positional value of 'F', which can also be thought of as 15 multiplied by 16 raised to the power of 0 (since it is in the units place, or 16^0). In simpler terms, 'F' does not have any other positional consideration and directly translates to the decimal number 15.

Understanding this conversion is crucial in areas such as computing and digital electronics, where hexadecimal is often used for succinctly representing binary values.