Math Problem Statement
Solve 1011₂ =x₁₀
Solution
To solve , we need to convert the binary number to its decimal (base 10) equivalent.
The binary number can be expanded as follows:
Calculate each term:
Add them together to get the decimal equivalent:
Therefore,
So, .
Would you like more details or have any questions?
Here are 5 more questions you might find interesting:
- How do you convert a hexadecimal number to a decimal number?
- What is the process of converting a decimal number to a binary number?
- How do you add and subtract binary numbers?
- Can you explain the difference between binary and hexadecimal systems?
- How do you solve equations involving numbers in different bases?
Tip: Practice converting numbers between different bases to strengthen your understanding of number systems.
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Math Problem Analysis
Mathematical Concepts
Number Systems
Binary Numbers
Decimal Conversion
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9