# [V], <s>8</s> <s>7</s> 6 bytes

    Àé1òhD

[Try it online!]

[V]: https://github.com/DJMcMayhem/V
[Try it online!]: https://tio.run/nexus/v#@3@44fBKw8ObMlz@//9vDgA "V – TIO Nexus"

Outputs `1` for odd numbers and nothing (an empty string) for even numbers.

    Àé1                   " argument times insert a 1
                          " this converts input to unary
                          " and now the cursor is at the end of the line
       ò                  " recursively do:
        h                 "  move 1 to the left and
         D                "  delete everything from the cursor to the end of the line
                          "  this effectively removes 2 characters at once until
                          "  a breaking error occurs at which point
                          " implicit ending ò