Final answer:
To convert a number from base 10 to base 16, divide the number by 16 repeatedly and use the remainders to build the hexadecimal number, where digits over 9 are represented by letters A-F.
Step-by-step explanation:
To convert a number from base 10 to base 16, also known as hexadecimal, you divide the base 10 number by 16 repeatedly and keep track of the remainders. Each remainder corresponds to a digit in the base 16 number, starting from the least significant digit (rightmost digit) to the most significant digit (leftmost digit). Hexadecimal digits include 0-9 and the letters A-F, where A represents 10, B represents 11, and so on up to F which represents 15 in base 10.
For example, to convert the base 10 number '158' to base 16, you would follow this process:
- Divide 158 by 16, which equals 9 with a remainder of 14. The remainder 14 in base 16 is 'E'.
- Then, divide the quotient 9 by 16, which equals 0 with a remainder of 9.
So, 158 in base 10 is written as '9E' in base 16. The conversion is done ensuring that the significant figures and proper units are expressed, though units are typically not used for base conversions.