Convert 1100011100111 to hindu arabic number

The binary number **1100011100111** can be converted to its equivalent Hindu-Arabic number (decimal) by following these steps:

1. Write the binary number:  
   **1100011100111**  
   
2. Assign powers of 2 to each digit, starting from the right (starting with \(2^0\)):  
   \( 1 \cdot 2^{12} + 1 \cdot 2^{11} + 0 \cdot 2^{10} + 0 \cdot 2^{9} + 0 \cdot 2^{8} + 1 \cdot 2^{7} + 1 \cdot 2^{6} + 1 \cdot 2^{5} + 0 \cdot 2^{4} + 0 \cdot 2^{3} + 1 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0} \)
   
3. Evaluate the powers of 2:  
   \( = 1 \cdot 4096 + 1 \cdot 2048 + 0 \cdot 1024 + 0 \cdot 512 + 0 \cdot 256 + 1 \cdot 128 + 1 \cdot 64 + 1 \cdot 32 + 0 \cdot 16 + 0 \cdot 8 + 1 \cdot 4 + 1 \cdot 2 + 1 \cdot 1 \)
   
4. Sum the values:  
   \( 4096 + 2048 + 128 + 64 + 32 + 4 + 2 + 1 = 6375 \)

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:
1. How do you convert decimal numbers to binary?
2. What is the binary representation of the decimal number 255?
3. How does binary addition work?
4. How do binary numbers apply in computer systems?
5. How do you convert octal numbers to decimal?

**Tip:** When converting binary to decimal, always start assigning powers of 2 from the rightmost digit.

Learn how to convert the binary number 1100011100111 to its Hindu-Arabic (decimal) equivalent, 6375, using a step-by-step binary to decimal conversion method. This lesson covers key concepts in number systems and is suitable for students in Grades 6-8.

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