Spoken Binary Defined

Try this system with other numbers and different representative sounds.

Speaking numbers in English (and many other languages) involves the use of "scale" words, such as "ten", "hundred" and "thousand", to represent powers of ten. Numbers spoken before a larger scale word are multiplied and numbers spoken after a larger scale word are added. So "ten thousand hundred" is 10 * 103 + 102.

Spoken binary uses base two instead of base ten. Scales can be spoken as words. In the table below the words "duo" and "quad" are used to represent scales 21 and 22. Also illustrated is the used of individuals sounds for scales. The scales 20, 21 and 22 are represented by the individual sounds [i] ("ee"), [u] ("oo") and [s].

Spoken binary with scales as words or sounds.

Positional Spoken scales
Dec Hex Bin Math in Words in Sounds
33112+1duo oneui
441004(one) quadis
551014+1(one) quad oneisi
661104+2(one) quad duoisu
771114+2+1(one) quad duo oneisui
8810002*4duo quadus
9910012*4+1duo quad oneusi
10A10102*4+2duo quad duousu
11B10112*4+2+1duo quad duo oneusui
12C1100(2+1)*4duo one quaduis
13D1101(2+1)*4+1duo one quad oneuisi
14E1110(2+1)*4+2duo one quad duouisu
15F1111(2+1)*4+2+1duo one quad duo oneuisui

Hexadecimal Scales

No representation of scale 23 was needed since 2*4 can be spoken and equals 23. In order to avoid repeating scale representations, a representation for 24 is required, and in general 22n for positive integers n.

As the base of hexadecimal is 24, the representations of "sub-hex" scales (below sixteen) can be viewed alternatively as representaions of hexamdecimal digits, and binary scales 22n can be equivalently considered hexadecimal scales 42(n-1).

A challenge of representing scales with individual sounds, is maintaining pronouncability and intelligibility with an increasing number of distinct scales involved. One strategy that works well is to only use consonants for hexadecimal scales and introduce a "null" vowel such as "a". The null vowel can be suffixed to hexadecimal consontants to aid intelligibility and can also be used in isolation to represent zero. Numerically, the "null" symbol represents nothing and is ignored when evaluating a spoken numbers numerical value.

For questions, suggestions and errors, email castedo@castedo.com.


Some other systems that have been defined for speaking hexadecimal: