Tag(s) : Numeral System, History, Symbol Substitution

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Tool to convert babylonian numbers (Babylonian Numerals). The Mesopotamian numeral system uses a mix of base 60 (sexagesimal) and base 10 (decimal).

Answers to Questions

How to write babylonian numbers?

In mesopotamian number system, numbers have to be converted in base 60. Numbers are written in a cuneiform style with | and <. Each vertical bar | equals a unit and each < equals ten units.

Example: 23 is written <<||| or

Example: 61 is written | | or

dCode uses the recent system (around 3rd century) which introduce the 0 (before the concept of zero did not exist).

How to convert babylonian numbers?

Converting is easy by counting symbols and considering it in base 60.

Example: <<||| is 2 < and 3 | so \( 2 \times 10 + 3 \times 1 = 23 \)

Example: | | (note the space) is 1 | and then 1 | so \( 1 \times 60 + 1 = 61 \)

How to write the number zero 0?

Babylonnians did not use the zero (this concept had not been invented), but from the 3rd century they used the symbol

How to count using babylonian numerals?

Babylonian numbers chart (base60)

0 (zero)

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

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31

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33

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39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

For other numbers, use the form above.

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Source code

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