This is in the spirit of the What is a Word/Phrase™ series started by JLee with Number version puzzles.

If a number conforms to a special rule, I call it an Encoding Number™.
Use the following examples below to find the rule.

$$ % set Title text. (spaces around the text ARE important; do not remove.) % increase Pad value only if your entries are longer than the title bar. % \def\Pad{\P{0.0}} \def\Title{\textbf{ Encoding }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\Title\textbf{Numbers}^{\;\!™}\Pad}\def\NT{\Pad\textbf{Not}\T\ }\displaystyle \smash{\lower{29px}\bbox[yellow]{\phantom{\rlap{rubio.2019.05.15}\S{6px}{0} \begin{array}{cc}\Pad\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\Pad\T&\NT\\\hline % \text{ 9 }&\text{ 7 }\\ \hline \text{ 10 }&\text{ 8 }\\ \hline \text{ 60 }&\text{ 58 }\\ \hline \text{ 95 }&\text{ 93 }\\ \hline \text{ 193 }&\text{ 191 }\\ \hline \text{ 315 }&\text{ 313 }\\ \hline \text{ 1,034 }&\text{ 1,032 }\\ \hline \text{ 2,194 }&\text{ 2,192 }\\ \hline \text{ 5,979 }&\text{ 5,977 }\\ \hline \text{ 16,466 }&\text{ 16,464 }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

Encoding Numbers™,Not Encoding Numbers™

Hint 1:

enter image description here

Hint 2:

enter image description here

  • $\begingroup$ is it time for a clue yet? $\endgroup$
    – greysaff
    Oct 8 '19 at 1:38
  • $\begingroup$ I found the thing in the clue but I have no clue what to do with this information now.. $\endgroup$
    – Nati
    Oct 10 '19 at 9:11

Encoding numbers are obtained as follows

Take a number written in English and convert it to morse code, without spaces.
ONE $\rightarrow$ ----..

Convert the morse code to binary with the rule dash=1, dot=0.
----.. $\rightarrow$ 111100

Convert the binary number to decimal
111100 $\rightarrow$ 60

The Encoding Numbers are those which are obtained at the end of this process.

Specific Examples

SIX $\rightarrow$ 9
SEVEN and TEN $\rightarrow$ 10
ONE $\rightarrow$ 60
TWO $\rightarrow$ 95
EIGHT $\rightarrow$ 193
SIXTY $\rightarrow$ 315
ELEVEN $\rightarrow$ 1034
NINETEEN $\rightarrow$ 2194
FORTY $\rightarrow$ 5979
THIRTEEN $\rightarrow$ 16466

Hint 1

These characters are called "Dash" and "Dot" which clues to Morse Code.

Hint 2

These are notes on a piano indicating a transition B to D (standing for Binary to Decimal, the second part of the process)

  • 2
    $\begingroup$ Nice work! I think this puzzle is really hard without hints... contains multiple encoding processes. $\endgroup$
    – Conifers
    Oct 16 '19 at 2:11
  • 1
    $\begingroup$ @Conifers yes without, at least, the first hint I would never have gotten it. $\endgroup$
    – hexomino
    Oct 16 '19 at 8:44

not encoded + 2 = encoded

I hope this is the first from a long series.

  • 1
    $\begingroup$ You need to find the property... The same difference picked is for the neatness (and yes checked they are all not Encoding Numbers.) $\endgroup$
    – Conifers
    Oct 4 '19 at 9:48
  • 4
    $\begingroup$ Hi Lidaranis - with this type of puzzle you're looking for the connection between the Encoded numbers in the first column - not a connection between the two numbers in each row. Every number in the first column follows a particular rule, which every number in the second column flouts. Your objective is to find that rule. Try again! :) $\endgroup$
    – Stiv
    Oct 4 '19 at 9:52
  • $\begingroup$ @Conifers you call it neat, I would call it Confusing. $\endgroup$
    – Lidaranis
    Oct 4 '19 at 10:07
  • $\begingroup$ @Stiv so basically he could have just provided a list of numbers and ask us to find the rule they follow.. avoiding all the.. "neatness" $\endgroup$
    – Lidaranis
    Oct 4 '19 at 10:09
  • $\begingroup$ @Lidaranis I could give any arbitrary Not Encoding Numbers if the number flouts the property... And the difference could be the another hint for this puzzle :) $\endgroup$
    – Conifers
    Oct 4 '19 at 10:13

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