ANCIENT · DECIMAL SIGN VALUES

Old Persian

Additive cuneiform signs for units, ten, twenty, and one hundred.

Convert numbers
Place
Achaemenid Persia · present-day Iran
Period / variant
Achaemenid inscriptions · from c. 525 BCE
EXAMPLES

42 · Decimal sign values

20 + 20 + 2, read left to right.

Worked example

Write 42 in Old Persian

Write the larger values first, from left to right. Each sign carries its own value; add the groups.

  1. Write 2 signs worth 20 each: 2 × 20 = 40.

  2. Write this sign for 2. Its value is 2 by itself.

Check

2 × 20 + 2 = 42

Sources and notation notes

The Unicode Standard 17.0, chapter 11 · Michael Everson · Old Persian encoding proposal

Meet the symbols

Each tile shows a sign and what it means. A sign can stand for a whole amount, such as 10 or 100.

  • 1
  • 2
  • 10
  • 20
  • 100

How the symbols fit together

Read left to right and add the signs. Repeated signs each contribute their full value.

  1. The signs used here mean 100, 20, 10, 2, and 1.
  2. For 42, read the first twenty sign, then the second: 20 + 20 = 40.
  3. Read the two sign next. Add 40 + 2 = 42.
  4. For 120, use a hundred sign and a twenty sign: 100 + 20 = 120. These signs already carry their amounts, so no zero placeholder is needed.

2 in Old Persian

The dedicated two sign.

42 in Old Persian

20 + 20 + 2, read left to right.

120 in Old Persian

100 + 20; no positional digit is needed.

The app supports additive whole numbers through 999; this is an implementation bound. It uses the five encoded numeral values and does not invent a positional zero or transfer Babylonian base-sixty rules into Old Persian.

History

Old Persian script was developed for royal monumental inscriptions associated with Darius I. Its wedge-shaped signs are a distinct writing system, not simply Babylonian cuneiform with the same mathematical rules.

How to read it

Read left to right and add the signs. Repeated signs each contribute their full value.

  1. The signs used here mean 100, 20, 10, 2, and 1.
  2. For 42, read the first twenty sign, then the second: 20 + 20 = 40.
  3. Read the two sign next. Add 40 + 2 = 42.
  4. For 120, use a hundred sign and a twenty sign: 100 + 20 = 120. These signs already carry their amounts, so no zero placeholder is needed.

Limits

The app supports additive whole numbers through 999; this is an implementation bound. It uses the five encoded numeral values and does not invent a positional zero or transfer Babylonian base-sixty rules into Old Persian.

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