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Urdhva Triyagbhyam

The basic sutras and upa sutras in the Vedic Mathematics helps to do almost all the numeric computations in easy and fast manner. The sutra which we employ in this project is Urdhva Triyagbhyam (Multiplication).

Illustration

This is the general formula applicable to all cases of multiplication. Urdhva Triyagbhyam means Vertically and Crosswise, which is the method of multiplication followed.

Illustration:

52 * 83

5     2

8     3

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40+3: 15+16: 6 = 4316

Steps:

i. We multiply the right-hand-most digit 2 of the multiplicand vertically by the right-hand-most digit 3 of the multiplier, get their product 6 and set it down as the right- hand-most part of the answer.

ii. We then multiply 8 and 2, and 5 and 3 crosswise, getting 16 and 15 respectively. Now add the two, get 31 as the sum. Set it 1 down as the middle part of the answer and move 3 as a part of carry to next step. Lastly

iii. We multiply 5 and 8 vertically; get 40 as their product. Add previous steps carry 3 with it resulting 43 and put it down as the left-hand-most part of the answer.

Thus                52 * 83 = 4316

The proposed method of Urdhva Triyagbhyam can be implemented for binary system in the same way as decimal system, as follows:

Thus,

1010

*    1001

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1011010