ju'u
cmavo binary mathematical operator: number base; [a interpreted in the base b].


li vai ju'u paxa du li pamu
F in hexadecimal is equal to 15.


li xa pi'i vo du li reno ju'u gai
Six times four is two dozen.


li pa no pa no ju'u re du li pa no
The number 1010 in base 2 equals the number 10.


mekna'u
lujvo x_{1} is the value of expression x_{2} in base/convention x_{3}. See also ju'u


ju'au
experimental cmavo semimathematical binary operator: named number base operator/interpreter Follows a number and is followed by a sumti string (introduced with appropriate gadri, multiple sumti strung together via connectives); scope terminates with the end of the sumti and/or with ke'e'au. The construct as a whole syntactically functions as a parenthetical so that mekso may be resumed immediately thereafter without any difficulty. This word attaches to/affects the immediately preceding macrodigit string extending from the last evaluated number, number operation, etc. or bracket to/until this word. The preceding number is semantically interpreted according to the description to which the following sumti refers. If a sequence is supplied as the following sumti, the preceding number is interpreted so that each digit, starting from the left (default: see next), is understood as a multiple of the corresponding value in the sequence under the ordering given (which may produce an invalid/illformed result; the placement of pi matters as well). If a single number is submitted (such as "li dau"), this word acts as ju'u; the number is interpreted according to the rules of mekso and is its own island for such interpretation (thus ju'u is needed to override a cultural/grammatical default interpretation, such as decimal, even if this is done within the mekso expression outside of and including the scope of this word). In this way, the sumti being (10^n)_n, which is a sequence, is the same as the sumti being just 10, but is very different from it being the sequence (10)_n. The original default for numeralposition/string reading/interpretation is from lefttoright, where a digit on the left in a pair of digits represents that multiple of a "later" term in the sequence as compared to right member of the pair; thus "23" in decimal means (2*(10^1)) + (3*(10^0)), which is twentythree. This default may be overridden via specification of the sequence (either its ordering, its domain being negated, or alteration to the base); alternatively, and perhaps more easily, the appearance of "la'e zoi jbo. ri'u bi'o zu'a .jbo" will always reverse it (this is a special input value with interpretation defined by this grammar); when reversed, "23" in decimal means (2*(10^0)) + (3*(10^1)), which is to say thirtytwo. Generally, this word overrides the default interpretation of a string of microdigits when computing the value of a macrodigit (see: ju'u'i). See also: ju'u, ju'u'i, pi'e.
