Convert 80 hex to decimal.
Understand the Problem
The question is asking to convert the hexadecimal number '80' into its decimal equivalent. This involves calculating the value based on its positional representation in the hex system.
Answer
$128$
Answer for screen readers
The decimal equivalent of the hexadecimal number '80' is $128$.
Steps to Solve
- Break down the hexadecimal number
The hexadecimal number '80' consists of two digits: '8' and '0'. In hexadecimal, each position represents a power of 16.
- Determine the positional values
The rightmost digit is in the $16^0$ place and the next one to the left is in the $16^1$ place. The values are:
- For '0', this is $0 \times 16^0 = 0 \times 1 = 0$
- For '8', this is $8 \times 16^1 = 8 \times 16 = 128$
- Add the positional values together
Now, add the two results to find the decimal equivalent: $$ 128 + 0 = 128 $$
The decimal equivalent of the hexadecimal number '80' is $128$.
More Information
Hexadecimal is a base-16 system where the digits range from 0 to 9 and then A to F, representing values 10 to 15. Converting to decimal involves multiplying each hex digit by 16 raised to the power of its position.
Tips
- Forgetting to multiply the hex digits by the correct power of 16.
- Not understanding the place values, especially with multiple digits.
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