Advertisement

Babylonian numbers converter

Convert non-negative integers to base-60 digits and inspect each place. You can also decode a comma-separated sexagesimal digit string.

Calculator

Cuneiform sign transcription
𒁹 | 𒁹 | 𒁹
Decimal integer
3661
Base-60 digits
1, 1, 1
Place decomposition
Power of 60DigitTens wedgesUnit wedgesPlace value
2.001.000.001.003600
1.001.000.001.0060
0.001.000.001.001

Advertisement

How this calculator works

Repeated division by 60 produces the place digits. Each digit uses a count of tens wedges and unit wedges. The sign transcription repeats the Unicode ten and one signs, separating places with a vertical bar. Its bracketed zero is a modern placeholder. The table gives readable counts if your device lacks a cuneiform font. This is an explicit modern integer transcription; historical notation did not always mark zero or distinguish a fractional scale.

Formula

N = d_k × 60^k + ... + d_1 × 60 + d_0, where every d is an integer from 0 to 59.

Worked example

3661 divides into 1 group of 3600, 1 group of 60 and 1 unit. Its transcription is 1, 1, 1. The two-place string 59, 59 is 3599.

Advertisement

Frequently asked questions

Is this a time converter?

No. These are integer place values, with no hours or seconds attached.

How is zero shown?

The transcription keeps a digit 0 at every empty place. A zero wedge count does not claim that all Babylonian periods used a zero symbol.

Are fractions supported?

Only non-negative integers are accepted. Historical sexagesimal fractions need an explicit scale or radix point, which this tool does not infer.

Sources

Advertisement