Convert 0x21 to decimal.
Understand the Problem
The question is asking to convert the hexadecimal number 0x21 into its decimal equivalent, which involves understanding the positional value of each digit in hexadecimal.
Answer
$33$
Answer for screen readers
The decimal equivalent of the hexadecimal number 0x21 is $33$.
Steps to Solve
- Identify the hexadecimal digits
The hexadecimal number 0x21 consists of two digits: 2 and 1.
- Determine the positional values
In hexadecimal, the rightmost digit (1) is in the (16^0) place and the next digit (2) is in the (16^1) place.
- Convert each digit to decimal
Now we convert each digit using its positional value:
-
The digit 2 is in the (16^1) place: $$ 2 \times 16^1 = 2 \times 16 = 32 $$
-
The digit 1 is in the (16^0) place: $$ 1 \times 16^0 = 1 \times 1 = 1 $$
- Add the converted values
Finally, add the two results from the previous steps: $$ 32 + 1 = 33 $$
The decimal equivalent of the hexadecimal number 0x21 is $33$.
More Information
Hexadecimal is a base-16 numbering system, often used in computing and digital electronics. It uses digits from 0 to 9 and letters A to F to represent values from 10 to 15. In this case, each hexadecimal digit's positional value plays a crucial role in converting to decimal.
Tips
- Forgetting to multiply the digit by the correct power of 16 can lead to an incorrect conversion.
- Mixing up the values for hexadecimal digits A-F where A=10, B=11, C=12, D=13, E=14, and F=15.
