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Mayan Numerals Calculator

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Mayan Numerals Converter
Decimal ↔ Maya vigesimal (base-20) bar-and-dot numerals
Decimal Number
Enter any integer 0–1,999,999. Each position represents a power of 20.
Quick Examples
Bar-and-Dot Vigesimal Display
20^2 = 400
5
5 x 400
= 2,000
20^1 = 20
1
1 x 20
= 20
20^0 = 1
4
4 x 1
= 4
Reading guide: Each column is one vigesimal position, read left to right (highest to lowest). A bar (—) represents 5; a dot (●) represents 1. The shell symbol represents zero.
Positional Breakdown
202 = 400 — digit 5 (1 bar)2,000
201 = 20 — digit 1 (1 dot)20
200 = 1 — digit 4 (4 dots)4
Decimal value2,024
Decimal
2,024
Vigesimal
5; 1; 4
Mayan Digit Reference (0–19)
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
About Mayan Numerals

Base-20 (vigesimal) was the counting system of the ancient Maya civilisation (~300 BCE – 900 CE), likely because humans have 20 fingers and toes combined.

Three symbols only: a dot (1), a bar (5), and a shell (0). One of the earliest known uses of zero as a placeholder in any positional numeral system.

Written vertically: positions stack top to bottom, with the highest power of 20 at the top. This calculator displays them left to right for readability.

Calendar use: The Maya Long Count calendar used modified vigesimal (18×20 = 360 days in the second position to approximate the solar year).

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What is Mayan Numerals Calculator?

Mayan Numerals Calculator converts modern numbers into the dot-and-bar numeral system developed by the ancient Maya civilization, including support for their unique calendar-based place values.

Mayan Numerals Calculator Formula / Method

DecimaltoMayan(primarilybase20,thirdplace360):Repeateddivisionby20(or360forcalendar),remainders019representedasdots/bars/shell.Decimal to Mayan (primarily base-20, third place 360): Repeated division by 20 (or 360 for calendar), remainders 0–19 represented as dots/bars/shell.
Mayantodecimal:Σ(valuelevel×placevalue)whereplacevaluesare1,20,360,7200,...Mayan to decimal: Σ (value_level × place_value) where place values are 1, 20, 360, 7200, ...

Mayan Numerals Calculator Step-by-Step

  1. Enter all required inputs shown in the calculator.
  2. Check units/scales or grading format where applicable.
  3. Apply the calculator method for this tool.
  4. Review the computed output.
  5. Use the result for planning, verification, or comparison.

Mayan Numerals Calculator Worked Example

Convert 1234 (decimal) to Mayan:

1234÷20=61remainder141234 ÷ 20 = 61 remainder 14
61÷20=3remainder161 ÷ 20 = 3 remainder 1
3÷20=0remainder33 ÷ 20 = 0 remainder 3

Result (from bottom): 3, 1, 14 -> represented as bars and dots.

Where Mayan Numerals Calculator Is Applied

Used in anthropology, history classes, Maya studies, archaeology, and by enthusiasts exploring ancient Mesoamerican mathematics and calendars.

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Calculator By Adil Balti, Content Proofread and Verify by Muhammad Kumail & Gulzar Abbas.

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