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
 
Example:
Question 1:
 
Add the following Egyptian numerals:
 
Gemini_Generated_Image_knqf4zknqf4zknqf.png
 
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.png 111333.png 111333.png 111333.png 111333.png 111333.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.png YCIND_260123_7927_10.png 111333.png 111333.png 111333.png 111333.png 111333.png
 
 
Question 2:
 
Find the product of the following:
 
product of base.png
 
Solution:
 
From the table we get,
 
YCIND_260123_7927_10.png \(=10\)
 
product of base.png \(=10 \times 10\)
 
\(=10^{2}\)
 
\(=\)YCIND_260123_7927_10^2.png