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|    Message 20,979 of 21,759    |
|    Ben Collver to All    |
|    On Binary Digits (2/5)    |
|    01 Apr 25 15:58:47    |
      [continued from previous message]              assign word equivalents to each digit in binary notation, whether the       words be "one" and "zero", "dit" and "dah" or any other sounds. We       may if we choose regard each digit as a letter, and pronounce the       word they construct as a unit in its own right--as, indeed, the       written word "cat" is pronounced as a unit and not as "see, ay, tee."              Perhaps the adoption of vowel sounds for the digit 0 (if only because       0 looks like a vowel) and consonant sounds for 1 will give us a       starting point in this attempt.              A useful consonant would be one which takes different sounds as it       is moved forward and backward in the mouth: "t" and "d" are one such       group in English. We can then assign one of these values for the       single 1, one for a double 1, etc.              Let us assign to the single 1 the sound "t" and to the double 1 the       sound "d." Postponing for a moment the consideration of the triple 1,       and representing the as yet unassigned vowel sounds of 0 by the       neutral "uh," we can pronounce the first seven basic binary groups as       follows:               Binary Pronunciation        ------ -------------        000 (uh)        001 (uh) t        010 (uh) t (uh)        011 (uh) d        100 t (uh)        101 t (uh) t        110 d (uh)              The eighth case, 111, can be represented in various ways but, by and       large, it seems reasonable to represent it by the sound "tee."              We now have phonemic representation of each of the eight possible       cases, as follows:               Decimal Written binary Pronounced binary        ------- -------------- -----------------        0 000 uh        1 001 ut        2 010 uttuh        3 011 ud        4 100 tuh        5 101 tut        6 110 duh        7 111 tee              We can then continue to count, by compounding groups,       ut-uh (001 000), ut-ut (001 001), ut-uttuh (001 010), etc. In this       way the binary equivalent of the date 1960 might be read as       "Ud-duh, tut-uh."              Conceivably such a system, spoken clearly and listened to with       attention, might serve in some applications, but merely by applying       similar principles in assigning variable vowel sounds to the digit 0       we can much improve it. One such series of sounds which suggests       itself is the set belonging to the letter O itself: the single o as       in "hot" the double o as in "cool," and, for the triple o, by the       same substitution as in the case of "tee," the sound of the letter       itself: "oh." Our first few groups then become:               Decimal Written binary Pronounced binary        ------- -------------- -----------------        0 000 Oh        1 001 Oot        2 010 Ahtah        3 011 Odd        4 100 Too        5 101 Tot        6 110 Dah        7 111 Tee              followed by:               8 001 000 Oot-oh        9 001 001 Oot-oot        10 001 010 Oot-ahtah              et cetera. Pronounceability has been somewhat improved, although we       are still conscious of some lacks. The phonemic distinction between       "ahtah" and, say, "odd-dah," the pronunciation of 011 110 is not       great enough to be entirely satisfactory. At any rate, on the above       principles our binary equivalent of 1960 is now pronounced,       "odd-dah, tot-oh."              At this point we may introduce some new considerations. We have       proceeded thus far on mainly logical grounds, but it is difficult to       support the thesis that logic is the only, or even the principal,       basis for constructing any sort of language. Irregularities and       exceptions may in themselves be good things, as promoting recognition       and lessening ambiguity. It may suffice to have only an approximate       correlation between the symbols and the sounds they represent, as,       indeed, it does in the written English language.              As the author feels an arbitrary choice of supplemental sounds will       enhance recognition, he has taken certain personal liberties in their       selection. The consonant L is added to "oh," making it "ohl"; all       root-sounds beginning with a vowel are given a consonant prefix when       they occur alone or as the second part of a compound word; certain       additional sounds are added at the end of the same roots when they       occur as the first part of a compound word; "dah" becomes the       diphthong "dye"; etc. The final list of pronunciations, then,       becomes:               Binary quantity Pronunciation when Pronunciation when alone        in first group or in second group        --------------- ------------------ ------------------------        000 ohly pohl        001 ooty poot        010 ahtah pahtah        011 oddy pod        100 too too        101 totter tot        110 dye dye        111 teeter tee                     Decimal 1960 is now in its binary conversion pronounced,       "Oddy-dye, totter-pohl."              We may yet make one additional amendment to that pronunciation,       however. The conventions of reading decimal notation aloud provide a       further convenience for reading large numbers or for stating       approximations. In a number such as:               1,864,191,933,507              we customarily read "trillions," "billions," "millions," etc.,       despite the fact that there is no specific symbol calling for these       words: We read them because we determine, by counting the number of       three-digit groups, what the order of magnitude of the entire       quantity is. The spoken phrase "two million" is a way of saying what       we sometimes write as 2x10^6. In the above number we might say that       it amounts to "nearly two trillion" (in America, at least), which       would be equivalent to "nearly 2x10^12"              A similar convention for binary notation might well be merely to       announce the number of groups (i.e., double groups of six digits) yet       to come. An inconveniently long number might be improved in this way,       a number such as 101 001, 111 011, 001 010, 000 100 being read as       "Totter-oot three groups, teeter-odd, ooty-pahtah, ohly-too." By the       phrase "one group" we would understand that the quantity of the       entire number is approximately the product of the number spoken       before it times 2^6 or 64 (1,000 000). "Two groups" would indicate       that the previous number was to be multiplied by 2^12, “three groups"       by 2^18, etc. Or, in binary notation:               One group: x 10^(1,000 000^1)        Two groups: x 10^(1,000 000^10)        Three groups: x 10^(1,000 000^11)        Four groups: x 10^(1,000 000^100)              And so on, so that as we say, in round decimal numbers: "Oh, about       three million," we might say in round binary numbers, “Oh, about       ooty-poot three groups."              It may be considered that there is an impropriety in using a term       borrowed from decimal notation to indicate binary magnitudes. Such an       impropriety would not be entirely without precedent--the word       "thousand," for example, etymologically related to "dozen," being an       apparent decimal borrowing from a duodecimal system. In any event, as       logic and propriety are not our chief considerations, we may reflect       that the group-numbering will occur only when, sandwiched between       binary terms, there will be small chance for confusion, and elect to       retain it. With this final emendation our spoken term for the binary              [continued in next message]              --- SoupGate-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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