Question

The base 16 number 1c is equal to which base 10 number?(1 point)Responses10101616282818

Answer 1

To convert the base 16 number \(1C\) to base 10, you can use the positional value of each digit. In base 16:

- The digit '1' is in the \(16^1\) place (which is 16).
- The digit 'C' represents the decimal value of 12 (as C corresponds to 12 in hexadecimal) and is in the \(16^0\) place (which is 1).

Now, calculate the value in base 10:

\[
1C_{16} = (1 \times 16^1) + (12 \times 16^0)
\]
\[
= (1 \times 16) + (12 \times 1)
\]
\[
= 16 + 12
\]
\[
= 28
\]

Thus, the base 16 number \(1C\) is equal to \(28\) in base 10.

So the correct response is **28**.