Question
The base 10 number 18 is equal to which base 16 number?
(1 point)
Responses
10
10
12
12
14
14
16
(1 point)
Responses
10
10
12
12
14
14
16
Answers
GPT-4o mini
To convert the base 10 number 18 to base 16, we can divide the number by 16 and look for the quotient and the remainder.
1. **Divide 18 by 16**:
- Quotient = 1
- Remainder = 2
So, when we divide 18 by 16, we get a quotient of 1 and a remainder of 2.
In base 16, the number is represented as follows:
- The quotient (1) represents 1×16^1
- The remainder (2) represents 2×16^0
Putting this together, the base 16 representation of the base 10 number 18 is **12**.
Therefore, the base 10 number 18 is equal to **12** in base 16.
1. **Divide 18 by 16**:
- Quotient = 1
- Remainder = 2
So, when we divide 18 by 16, we get a quotient of 1 and a remainder of 2.
In base 16, the number is represented as follows:
- The quotient (1) represents 1×16^1
- The remainder (2) represents 2×16^0
Putting this together, the base 16 representation of the base 10 number 18 is **12**.
Therefore, the base 10 number 18 is equal to **12** in base 16.