The decimal number 64.005125 in binary is approximately:

$64.005125_{10} = 1000000.00000001010011111101111100111011_2$

This binary representation includes an approximation of the fractional part due to the limited precision.

Would you like a deeper explanation of how this conversion works, or any other details? Here are some related questions:

1. How can I manually convert decimal numbers to binary?
2. How are fractional numbers handled in binary form?
3. What are the limitations of binary representations for decimal fractions?
4. How does the precision of floating-point numbers impact binary conversions?
5. Can you explain the binary number system in more detail?

Tip: When converting fractions to binary, they may not always have an exact representation, leading to recurring or rounded values.