Question
The base 16 number 1c is equal to which base 10 number? (1 point) Responses 10 10 16 16 28 28 18
Answers
GPT-4o mini
To convert the hexadecimal (base 16) number 1C to decimal (base 10), you can use the positional values of each digit:
1. The rightmost digit (C) is in the 16^0 position.
2. The next digit (1) is in the 16^1 position.
Now, convert the digits:
- C in hexadecimal is equal to 12 in decimal.
- The digit 1 in hexadecimal is equal to 1 in decimal.
Now, calculate the decimal value:
\[
1 \times 16^1 + 12 \times 16^0 = 1 \times 16 + 12 \times 1 = 16 + 12 = 28
\]
So, the base 16 number 1C is equal to 28 in base 10.
The correct response is **28**.
1. The rightmost digit (C) is in the 16^0 position.
2. The next digit (1) is in the 16^1 position.
Now, convert the digits:
- C in hexadecimal is equal to 12 in decimal.
- The digit 1 in hexadecimal is equal to 1 in decimal.
Now, calculate the decimal value:
\[
1 \times 16^1 + 12 \times 16^0 = 1 \times 16 + 12 \times 1 = 16 + 12 = 28
\]
So, the base 16 number 1C is equal to 28 in base 10.
The correct response is **28**.