One number.
Countless perspectives.

40 numeral converters.

Understanding bases
Hindu-Arabic · base 10

Whole numbers, decimals, or fractions (e.g. 3/2).

Whole numbers
BABYLONIAN SEXAGESIMALBase 60
4242 × 1. Blank places and cell boundaries are explained by the modern reading grid.
Symbol dictionary and reading rules

Meet the symbols

Within one place, repeat the one wedge for units and the ten wedge for tens. Here are all the combinations from 1 to 59, plus an empty place labeled 0 in this teaching grid.

  • 0
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59

How the symbols fit together

Count the wedges inside each group first. Then read the groups using positions worth sixty times one another.

  1. Inside one group, a vertical wedge means 1 and a corner wedge means 10. Four ten-wedges and two one-wedges make 40 + 2 = 42.
  2. One position can hold a value from 0 to 59. Once you reach sixty, you need another position.
  3. For 61, the left group has one wedge in the sixties position. That means one group of sixty: 60.
  4. The right group has one wedge in the ones position. Add 60 + 1 = 61. Our separated cells and labels show which place is which; historical readings also depended on context.

30 in Babylonian sexagesimal

Three ten-wedges. The side of YBC 7289 is marked 30; its scale is determined by context.

42 in Babylonian sexagesimal

Four tens and two ones in a single sexagesimal place.

61 in Babylonian sexagesimal

1 × 60 + 1. The same one-wedge occupies two places.

This is an educational transcription of Old Babylonian notation. Empty places are blank cells, not a historical zero sign. The cells and integer scale labels are modern aids: historical notation could leave the scale ambiguous. Later placeholder conventions are not mixed into this earlier variant.

NOTATION

Base-60 place values, with wedge signs for units and tens.

PLACE & TIME

Mesopotamia · present-day Iraq
Old Babylonian · c. 1800–1600 BCE

Details
How to read it

Count the wedges inside each group first. Then read the groups using positions worth sixty times one another.

  1. Inside one group, a vertical wedge means 1 and a corner wedge means 10. Four ten-wedges and two one-wedges make 40 + 2 = 42.
  2. One position can hold a value from 0 to 59. Once you reach sixty, you need another position.
  3. For 61, the left group has one wedge in the sixties position. That means one group of sixty: 60.
  4. The right group has one wedge in the ones position. Add 60 + 1 = 61. Our separated cells and labels show which place is which; historical readings also depended on context.

This is an educational transcription of Old Babylonian notation. Empty places are blank cells, not a historical zero sign. The cells and integer scale labels are modern aids: historical notation could leave the scale ambiguous. Later placeholder conventions are not mixed into this earlier variant.

Source ↗

Collection

All 40 traditions
TENSUNITSTHOUSANDSHUNDREDS
2026 · CISTERCIAN NUMERALS

Cistercian numerals

One sign records a number from 1 to 9,999. Marks around a central stem indicate units, tens, hundreds, and thousands.

How to read them