Which of the following values does hexadecimal 1F represent in decimal?

Which of the following values does hexadecimal 1F represent in decimal?

• A. 31
• B. 16
• C. 17
• D. 15

Answer: (A)

Hexadecimal, or base-16, is a number system that uses sixteen distinct symbols: 0-9 represent values zero to nine, and A-F represent values ten to fifteen. In the case of hexadecimal 1F, it consists of two digits: '1' and 'F'. To convert from hexadecimal to decimal: 1. Analyze each digit's place value. The rightmost digit represents \(16^0\) (which is 1), and the left digit represents \(16^1\) (which is 16). 2. The digit '1' in the hexadecimal 1F is in the \(16^1\) position, so it contributes \(1 \times 16 = 16\). 3. The digit 'F' corresponds to 15 in decimal. Since it is in the \(16^0\) position, it contributes \(15 \times 1 = 15\). Now, add the contributions from each digit together: 16 (from '1') + 15 (from 'F') = 31. Therefore, hexadecimal 1F indeed equals 31 in decimal, confirming that this is the correct conversion.

Hexadecimal, or base-16, is a number system that uses sixteen distinct symbols: 0-9 represent values zero to nine, and A-F represent values ten to fifteen. In the case of hexadecimal 1F, it consists of two digits: '1' and 'F'.

To convert from hexadecimal to decimal:

1. Analyze each digit's place value. The rightmost digit represents (16^0) (which is 1), and the left digit represents (16^1) (which is 16).

2. The digit '1' in the hexadecimal 1F is in the (16^1) position, so it contributes (1 \times 16 = 16).

3. The digit 'F' corresponds to 15 in decimal. Since it is in the (16^0) position, it contributes (15 \times 1 = 15).

Now, add the contributions from each digit together:

16 (from '1') + 15 (from 'F') = 31.

Therefore, hexadecimal 1F indeed equals 31 in decimal, confirming that this is the correct conversion.