# Mayan Numerals Calculator

URL: https://speedycalculator.com/calculators/math/mayan-numeral/
Last updated: 2026-10-30

> The Mayan numerals calculator converts a whole number into the Maya vigesimal (base-20) system, drawing each place with dots (1) and bars (5), and shows the place values.

## Inputs

- Number

## Results

- Base-20 digits
- Dots and bars
- Check

## Formula

```
Base 20: n = d₀ + d₁·20 + d₂·20² + …,  each digit 0–19 = dots and bars (0 is a shell)
```

## Explanation

The Maya used a base-20 positional system with a symbol for zero centuries before it reached Europe. Each digit is made of dots worth 1 and bars worth 5, stacked in vertical places.

### How to use the Mayan Numerals Calculator

- **Number**

Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.

### How it works

Enter a positive whole number. The calculator divides repeatedly by 20 and draws each digit, highest place first.

## Worked example

Inputs — Number: 1234.

Results — **Base-20 digits = 3.1.14**; Dots and bars = 20² place: ••• (3)
20¹ place: • (1)
20⁰ place: •••• ▬▬ (14); Check = 3 × 20² + 1 × 20¹ + 14 × 20⁰ = 1234.

## Key terms

- **Vigesimal**: Base 20.

## FAQ

**Why base 20?**
Probably from counting on fingers and toes.

**How is zero written?**
With a shell symbol.

**What is 20 in Mayan numerals?**
A dot in the 20s place and a shell in the units place.

**Did the calendar use pure base 20?**
The Long Count used 18 × 20 = 360 for the third place.


## Sources

- [Wolfram MathWorld – Maya numerals](https://mathworld.wolfram.com/MayaNumerals.html)