Math Problem Statement
16base 9
Solution
To convert the number from base to base , we follow the process of evaluating the base number using its positional values.
Step-by-Step Conversion
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Identify the digits and their positions: The number in base has two digits: and . In base , the rightmost digit represents , the next represents , and so on.
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Calculate the decimal (base 10) value: Calculate each term:
Result
So, the number in base is equal to in base .
Would you like more details or have any questions? Here are some related topics:
- How to convert other base numbers to base ?
- How to convert base numbers to base ?
- Explanation of positional values in number systems.
- How do base systems work for bases larger than (like base or base )?
- Practical applications of base or other non-decimal bases.
Tip: When converting from any base to decimal, multiply each digit by the base raised to the power of its position, starting from on the right.
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Math Problem Analysis
Mathematical Concepts
Number Systems
Base Conversion
Formulas
n_base = digit * base^position
Theorems
Positional Notation Theorem
Suitable Grade Level
Grades 5-7