# Below is the base 60 system used by Babylonians? Using the the translation table translate the following: #B->Decimal# a) 2, 25 b) 3, 36; 22, 32, 45 #Decimal->B# a) 1245 b) 65 c) 147 Compare to decimal and give some comments?

##### 1 Answer

Please see below.

#### Explanation:

We normally use decimal system which is **Base 10** system and hence uses **10** symbols viz.,

Similarly, hexadecimal system, which is **Base 16** system use **16** symbols viz.,

In any such system, if base is

In such systems every number has a place value, which is very important and the a digit on the left hand side is

Note in such systems, we need the same number of digits as is the Base. **However in Babylonian system, we do not have #60# symbols and hence it does not fall in the same genre as decimal or hexadecimal systems. For example in the given Figure 5 (in the question) #16,24,26,43,44,51# have been described using two symbols**. This clearly breaks down the the rules relating to base system.

Hence Babylonian system can lead to multiple values when converted to decimal or any other base system.

If above constraints are ignored and one focuses primary on the question, the following are the decimal values of given Babylonian numbers

And Decimal

Decimal

Decimal