Math Problem Statement
convert the following
Solution
The assignment image shows a table where conversions between different number systems (Decimal, Binary, Octal, and Hexadecimal) are required. Some values are already filled in the table, such as:
- Decimal: 74
- Binary: 110110
- Octal: 62
- Hexadecimal: A2B
Let's proceed with the conversions to complete the table.
1. Decimal: 74
- Binary:
- Octal:
- Hexadecimal:
2. Binary: 110110
- Decimal:
- Octal:
- Hexadecimal:
3. Octal: 62
- Decimal:
- Binary:
- Hexadecimal:
4. Hexadecimal: A2B
- Decimal:
- Binary:
- Octal:
This completes the table. Let me know if you'd like to see any detailed steps for the conversions, or if you have any other questions!
Here are 5 questions related to this task:
- How do you convert a number from binary to decimal?
- What is the significance of the hexadecimal system in computing?
- How do you perform conversions between octal and hexadecimal systems?
- What are the practical uses of different number systems in computer science?
- How can you verify if a binary to octal conversion is correct?
Tip: Always double-check conversions by reversing the process. For example, after converting from decimal to binary, convert the binary back to decimal to verify your result.
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Math Problem Analysis
Mathematical Concepts
Number Systems
Base Conversions
Binary
Octal
Hexadecimal
Formulas
Binary to Decimal: Sum of (bit * 2^position)
Decimal to Binary: Repeated division by 2, recording remainders
Decimal to Octal: Repeated division by 8, recording remainders
Decimal to Hexadecimal: Repeated division by 16, recording remainders
Theorems
Place Value Theorem for Positional Number Systems
Suitable Grade Level
Grade 10
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