Math Problem Statement
10110011010 to octal
Solution
To convert the binary number to octal, follow these steps:
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Group the binary digits into groups of 3, starting from the right. If the leftmost group has fewer than 3 digits, pad it with zeros.
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Convert each group of 3 binary digits to its octal equivalent:
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Write the octal equivalent by combining the results:
The octal representation of is .
Would you like more details on any of the steps, or have any questions about this process?
Additional Questions:
- How do you convert between binary and hexadecimal?
- Can you explain how to convert from octal to binary?
- What is the significance of padding zeros when grouping binary digits?
- How would you convert a floating-point binary number to octal?
- What are the differences between binary, octal, and hexadecimal number systems?
Tip: Always pad your binary number to the left with zeros if the grouping of 3 is not even, to avoid errors in conversion!
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Math Problem Analysis
Mathematical Concepts
Binary to Octal Conversion
Formulas
Group binary digits into groups of 3, convert each group to its octal equivalent
Theorems
Binary to octal conversion rule
Suitable Grade Level
Grades 5-7