Asked by hudson
The base 16 number 1c is equal to which base 10 number?
(1 point)
Responses
10
10
16
16
28
28
18
(1 point)
Responses
10
10
16
16
28
28
18
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To convert the base 16 number "1c" to a base 10 number, you can break it down as follows:
In base 16, the digits represent:
- \(1\) is in the 16^1 place (which is 16).
- \(c\) is in the 16^0 place, and in base 16, \(c\) represents 12 in base 10.
So, you calculate:
\[
1 \times 16^1 + c \times 16^0 = 1 \times 16 + 12 \times 1 = 16 + 12 = 28
\]
Therefore, the base 16 number "1c" is equal to 28 in base 10.
The correct response is **28**.
In base 16, the digits represent:
- \(1\) is in the 16^1 place (which is 16).
- \(c\) is in the 16^0 place, and in base 16, \(c\) represents 12 in base 10.
So, you calculate:
\[
1 \times 16^1 + c \times 16^0 = 1 \times 16 + 12 \times 1 = 16 + 12 = 28
\]
Therefore, the base 16 number "1c" is equal to 28 in base 10.
The correct response is **28**.
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