Math Problem Statement
Convert 1100011100111 to hindu arabic number
Solution
The binary number 1100011100111 can be converted to its equivalent Hindu-Arabic number (decimal) by following these steps:
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Write the binary number:
1100011100111 -
Assign powers of 2 to each digit, starting from the right (starting with ):
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Evaluate the powers of 2:
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Sum the values:
So, the binary number 1100011100111 is equal to the Hindu-Arabic number 6375.
Would you like more details or have any questions?
Here are five related questions:
- How do you convert decimal numbers to binary?
- What is the binary representation of the decimal number 255?
- How does binary addition work?
- How do binary numbers apply in computer systems?
- How do you convert octal numbers to decimal?
Tip: When converting binary to decimal, always start assigning powers of 2 from the rightmost digit.
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Math Problem Analysis
Mathematical Concepts
Binary to Decimal Conversion
Number Systems
Formulas
Binary to Decimal Conversion: sum of binary digits (0 or 1) times powers of 2
Formula: n = b₁ × 2⁰ + b₂ × 2¹ + b₃ × 2² + …
Theorems
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Suitable Grade Level
Grades 6-8