Mark As Completed Discussion

One Pager Cheat Sheet

  • Today's task involves writing a function that converts a decimal number to its binary representation; it requires understanding the definitions of binary and decimal, with the added constraints that the input will be a positive integer between 0 and 1000000000, and the expected time and space complexities are O(log n) and O(1) respectively.
  • The article provides steps to convert a decimal number to binary, using the division with remainder method, by repeatedly dividing by 2 and recording the remainders, which, when read from bottom to top, give the binary representation of the original decimal number.
  • The process of converting a decimal number to binary works by repeatedly dividing the decimal number by 2 and recording the remainder, symbolizing the sum of powers of 2 that construct the original decimal number, yielding the binary representation.
  • The text outlines a coding approach to convert decimal numbers to binary, specifying that if a number is less than 1, an empty string should be returned and detailing two cases: if num is divisible by 2, and if it's not, whereby recursive operations are performed; the time and space complexity of this approach is O(logn).

This is our final solution.

To visualize the solution and step through the below code, click Visualize the Solution on the right-side menu or the VISUALIZE button in Interactive Mode.

JAVASCRIPT
OUTPUT
:001 > Cmd/Ctrl-Enter to run, Cmd/Ctrl-/ to comment

That's all we've got! Let's move on to the next tutorial.

If you had any problems with this tutorial, check out the main forum thread here.