# What is an Encoding Number™?

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™
9,7
10,8
60,58
95,93
193,191
315,313
1034,1032
2194,2192
5979,5977
16466,16464


Hint 1:

Hint 2:

• is it time for a clue yet? Oct 8, 2019 at 1:38
• I found the thing in the clue but I have no clue what to do with this information now..
– Nati
Oct 10, 2019 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)

• Nice work! I think this puzzle is really hard without hints... contains multiple encoding processes. Oct 16, 2019 at 2:11
• @Conifers yes without, at least, the first hint I would never have gotten it. Oct 16, 2019 at 8:44

not encoded + 2 = encoded

I hope this is the first from a long series.

• You need to find the property... The same difference picked is for the neatness (and yes checked they are all not Encoding Numbers.) Oct 4, 2019 at 9:48
• 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! :)
– Stiv
Oct 4, 2019 at 9:52
• @Conifers you call it neat, I would call it Confusing. Oct 4, 2019 at 10:07
• @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" Oct 4, 2019 at 10:09
• @Stiv I understand it now. The others have some extra explanation that is missing in this one. Thanks for the tip. Oct 4, 2019 at 10:51