Tuesday, June 7, 2011

Maya Numbers

 Maya Numbers

We are engineers & Mathematics is our “Bhagwat gita” so we should know about mathematics. And first & foremost thing come in to mind hearing mathematics is ‘Numbers’. What type Of Numeric representation you may know binary, octal, hexadecimal. & some special representation like (|,||,|||,||||,cut)

Today we know about ‘Maya Number representation’. We know that hexadecimal is 16 base numbers Maya is 20 based number it called ‘vigesimal’
 
The numerals are made up of three symbols; zero (shell shape), one (a dot) and five (a bar). For example, nineteen (19) is written as four dots in a horizontal row above three horizontal lines stacked upon each other.



Numbers above 19


Numbers after 19 were written vertically in powers of twenty. For example, thirty-three would be written as one dot above three dots, which are in turn atop two lines. The first dot represents "one twenty" or "1×20", which is added to three dots and two bars, or thirteen. Therefore, (1×20) + 13 = 33. Upon reaching 20^2 or 400, another row is started. The number 429 would be written as one dot above one dot above four dots and a bar, or (1×20^2) + (1×20^1) + 9 = 429. The powers of twenty are numerals, just as the Hindu-Arabic numeral system uses powers of tens.


Addition and subtraction


Adding and subtracting numbers below 20 using Maya numerals is very simple. Addition is performed by combining the numeric symbols at each level: If five or more dots result from the combination, five dots are removed and replaced by a bar. If four or more bars result, four bars are removed and a dot is added to the next higher column.

 
Similarly with subtraction, remove the elements of the subtrahend symbol from the minuend symbol: If there are not enough dots in a minuend position, a bar is replaced by five dots. If there are not enough bars, a dot is removed from the next higher minuend symbol in the column and four bars are added to the minuend symbol being worked on.


Note that this corresponds almost exactly to traditional addition and subtraction in the common base-10.

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