# What are the names of numbers in the binary system?

The names we use are very much related to the radix we use

$$0−1−2−3−4−5−6−7−8−90 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9$$

zero – one – two – three – four – five – six – seven – eight -nine

We repeat the names

$$2121$$ twenty one, $$2222$$ twenty two .. and so on.

This is not suitable for binary system

If we used the same nomenclature

$$1−one1 - \text{one}$$

$$10−two?10 - \text{two}?$$

$$11−three?!11 - \text{three}?!$$

This is very hard to read and write

Maybe if we used something else it would be very convenient something like:

$$1−John1 - \text{John}$$

$$10−Watson10 - \text{Watson}$$

$$11−Watson John11 - \text{Watson John}$$

$$100−Kevin100 - \text{Kevin}$$

$$101−Kevin John101 - \text{Kevin John}$$

$$110−Kevin Watson110 - \text{Kevin Watson}$$

$$111−Kevin Watson John111 - \text{Kevin Watson John}$$

and so on ..

Is there any official nomenclature? or should I make it up myself?

Take for example “two plus three equals five“. That’s a statement about numbers, which holds true regardless of their representation. All of $2_{10}+3_{10}=5_{10}$ in decimal, or $10_2+11_2=101_2$ in binary or $II + III = V$ in roman numerals represent the same statement “two plus three equals five“, and there is no need for different words to describe it depending on the representation.