How to convert float number to Binary?

by

Consider below example

Convert 2.625 to binary.

We will consider the integer and fractional part separately.

The integral part is easy, 2 = 10.

For the fractional part:

0.625   × 2 =   1.25    1   Generate 1 and continue with the rest.
0.25    × 2 =   0.5     0   Generate 0 and continue.
0.5     × 2 =   1.0     1   Generate 1 and nothing remains.

So 0.625 = 0.101, and 2.625 = 10.101.

See this link for more information.

Related Contents:

  1. What is “2’s Complement”?
  2. Why prefer two’s complement over sign-and-magnitude for signed numbers?
  3. Tool for comparing 2 binary files in Windows [closed]
  4. Converting from an integer to its binary representation
  5. Binary representation of float in Python (bits not hex)
  6. What is “two’s complement”?
  7. Tools to help reverse engineer binary file formats
  8. How to detect type of compression used on the file? (if no file extension is specified)
  9. How do I create binary patches?
  10. Advantage of 2’s complement over 1’s complement?
  11. Really 1 KB (KiloByte) equals 1024 bytes?
  12. How do you convert a fraction to binary?
  13. Is it possible to program in binary?
  14. Convert hex to float
  15. What are important points when designing a (binary) file format? [closed]
  16. How many values can be represented with n bits?
  17. Is there a float input type in HTML5?
  18. How do I use a decimal step value for range()?
  19. How to format a float in javascript?
  20. How do you express binary literals in Python?
  21. Why are some float < integer comparisons four times slower than others?
  22. How to display a float with two decimal places?
  23. How do I check if a string represents a number (float or int)?
  24. What’s the difference between a single precision and double precision floating point operation?
  25. How do you embed binary data in XML?
  26. Division of integers in Java [duplicate]
  27. How can I convert integer into float in Java?
  28. 0.1 float is greater than 0.1 double. I expected it to be false [duplicate]
  29. How can I convert a string to a number in Perl?
  30. How can I improve performance via a high-level approach when implementing long equations in C++
  31. What is the difference between int() and floor() in Python 3?
  32. How many significant digits do floats and doubles have in java?
  33. How do I grep through binary files that look like text?
  34. How to check that a string is parseable to a double? [duplicate]
  35. Python float to int conversion
  36. Converting Float to Dollars and Cents
  37. Why does adding two decimals in Javascript produce a wrong result? [duplicate]
  38. double or float, which is faster? [duplicate]
  39. How to force GCC to assume that a floating-point expression is non-negative?
  40. How to compile a linux shell script to be a standalone executable *binary* (i.e. not just e.g. chmod 755)?
  41. In Java, how to get positions of ones in reversed binary form of an integer?
  42. Shortest way of checking if Double is “NaN”
  43. Embedding binary blobs using gcc mingw
  44. Compressing floating point data
  45. Scala Divide two integers and get a float result
  46. What is the best way to handle versioning using JSON protocol?
  47. Is floating point addition commutative in C++?
  48. Python OpenCV convert image to byte string?
  49. A realistic example where using BigDecimal for currency is strictly better than using double
  50. Clarification on the Decimal type in Python

Leave a Comment