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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 steps 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

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