Advantage of Base - n system:
 
There are two advantages in Base -n system
 
i) Addition of base -n system
 
ii) Multiplication of base -n system
 
Examples:
 
Question 1:
Addition of ENS.jpg
 
Solution:
Table value of Egyptian number system:
 
YCIND_260109_7871_Symbol (2).svg
Regrouping the number of 111333.png and YCIND_260123_7927_10.png we get,
 
\(15\) YCIND_260123_7927_10.png and \(15\) 111333.png
 
From the above table we get,
 
YCIND_260123_7927_10.png \(= 10\)
 
111333.png \( = 1\)
 
From the table we get, 
 
\(10\) YCIND_260123_7927_10.png \(=\)  YCIND_260123_7927_10^2.png
 
\(10\) 111333.png \(=\) YCIND_260123_7927_10.png
 
Thus we get,
 
 
\(15\) YCIND_260123_7927_10.png \(= (10 \)YCIND_260123_7927_10.png \(+\) \(5\) YCIND_260123_7927_10.png
 
\(=\)YCIND_260123_7927_10^2.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.png  ------ (1)
 
\(= (10 + 5 ) \times 10\)
 
\( = (10 \times 10) + (5 \times 10)\)
 
\(15\) 111333.png \(= (10 \)111333.png \(+\) \(5\) 111333.png
 
\(=\) YCIND_260123_7927_10.png111333.png111333.png111333.png111333.png111333.png ------ (2)
 
Thus the sum of (1) and (2)
 
\(=\) YCIND_260123_7927_10^2.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.pngYCIND_260123_7927_10.png
        YCIND_260123_7927_10.pngYCIND_260123_7927_10.png111333.png111333.png111333.png111333.png111333.png
 
Question 2:
 
Find the product of the following:
 
product of base n.jpg
 
Solution:
 
From the table we get,
 
YCIND_260123_7927_10.png \(=10\)
 
product of base n.jpg \(=10 \times 10\)
 
\(=10^{2}\)
 
\(=\)YCIND_260123_7927_10^2.png
 
In a similar way, we can also do some arithmetic operations on Mayan and Roman numbers.
 
Difficulties in doing simple calculations in non decimals number: 
1. No place values for Egyptian and Roman number system
 
2. No symbol for zero in Egyptian and Roman number system
 
3. While creating lengthly or complimented representation of numbers it will lead to errors.
 
4. It does not have standard algorithms for arithmetic operations
 
5. There were some difficulties while doing multiplications and divisions
 
6. It would be harder to do (time consuming) simple operations in symbols instead of decimals
 
7. The mayan number has a base of almost \(20\), instead of base - \(10\), which it have it own difficulties while working out.