**
IMPLEMENTATION of
Urdhva Triyagbhyam
multiplier**

**8 X 8 Bit
Multiplication Using Urdhva Triyakbhyam (Vertically and crosswise) for two
Binary numbers**

Consider two binary numbers A and B of 8 bits as respectively

A = **A _{7}A_{6}A_{5}A_{4} A_{3}A_{2}A_{1}A_{0}**

*
(X _{1}) (X_{0}) *

B = **B _{7}B_{6}B_{5}B_{4}
B_{3}B_{2}B_{1}B_{0} **

*
(Y _{1}) (Y_{0}) *

Which can be viewed as two four
bit numbers each, i.e. A can be viewed as X_{1} X_{0 }and B can
be viewed as Y_{1} Y_{0} respectively, as shown above, thus the
multiplication can be written as

X_{1} X_{0}

* Y_{1} Y_{0}

--------------------

EDC

Where, CP= C = X_{0}Y_{0}

_{
}CP= A = X_{1}Y_{0}

CP = B = X_{0}Y_{1}

CP= D = A+B

CP= E = X_{1}Y_{1 }here CP= Cross
Product

Thus, A*B= EDC, is achieved using Urdhva Triyakbhyam (Vertically and crosswise) sutra.

** **

** BLOCK DIAGRAM**

Figure 4.3.

A block diagram representing *8-*bit
multiplication

**Note:** Each Multiplication operation is an embedded
parallel 4x4 Multiplication modules, which again be described in as follows
using Urdhva Triyakbhyam (Vertically and crosswise) sutra, where each dot
represents single bit of each four bit number

Fig4.4. Line diagram for multiplication of two 4 - bit numbers.