07: MULTIPLY 2 DIGITS BY 2 DIGITS

SUTRA (Algorithm):

Read & Work from Right
(Left Left) | (Outer + Inner) | (Right Right)

Take 23 x 41

2 x 2 _260x190


In 23: Left is 2, Right is 3.
In 41: Left is 4, Right is 1.

RightRight is 1x3, 3
Outer is 1x2, 2
Inner is 4x3, 12
LeftLeft is 4x2, 8

Demonstration (1): 23 x 41 = ?

Read & Work from RIGHT
Left x Left | Outer + Inner | Right x Right
4 x 2 | 1x2 + 4x3 | 3 x 1
4 x 2 | 2 + 12 | 3 x 1
8 | 14 | 3
23 x 41 = 8 | 14 | 3
23 x 41 = 9 143
So, in one line, 23 x 41 = 9143.

Demonstration (2): 52 x 34 = ?

Read & Work from RIGHT
Left x Left | Outer + Inner | Right x Right
15 | 26 | 8
52 x 34 = 17268
So, in one line, 52 x 34 = 17268.

Demonstration (3): 69 x 48 = ?

Read & Work from RIGHT
33 | 91 | 72
So, in one line, 69 x 48 = 3312.

Verify The following Examples:

1) 53 x 26 >> 10 | 36 | 18 = 13 78
2) 29 x 63 >> 12 | 60 | 27 = 18 27
3) 46 x 59 >> 20 | 66 | 54 = 27 14
4) 87 x 26 >> 16 | 56 | 42 = 22 62
5) 38 x 57 >> 15 | 61 | 56 = 21 66
6) 79 x 64 >> 42 | 82 | 36 = 50 56