In modern systems, the square root of a number is calculated using the long division method. The radical can be calculated using several diverse approaches. This study focuses on one such method that, when applied to specific numbers, such as perfect square numbers, yields fewer complex results. The model utilized in this study is based on old Vedic mathematics sutras and can be used for chip designs as well. There is always a desire to have a highly optimized technique for quickly calculating mathematical operations. The proposed method focuses on minimizing the number of Logic elements and the complexity of the computation in terms of speed and power dissipation. The designs are coded in Verilog HDL and synthesized with Altera Quartus II 13.1. device chosen was cyclone IV. The power dissipation for proposed shows 3mW improvement and logic element shows 2 % improvement. Results clearly indicate the better power performance of our proposed Vedic multiplier.

1.
A.
Deepa
and
C.
Marimuthu
, “
High speed vlsi architecture for squaring binary numbers using yavadunam sutra and bit reduction technique
,”
International Journal of Applied Engineering Research
13
,
4471
4474
(
2018
).
2.
A.
Deepa
and
C.
Marimuthu
, “
Design of a high speed vedic multiplier and square architecture based on yavadunam sutra
,”
Sadhana
44
,
1
10
(
2019
).
3.
P. S.
Kasliwal
,
B.
Patil
, and
D.
Gautam
, “
Performance evaluation of squaring operation by vedic mathematics
,”
IETE journal of Research
57
,
39
41
(
2011
).
4.
R. B.
Gowda
,
R.
Banakar
, et al, “
Performance analysis of vedic multiplier with different square root bk adders
,” in
Emerging Research in Computing, Information, Communication and Applications
(
Springer
,
2019
) pp.
273
285
.
5.
A.
Bonetti
,
A.
Teman
,
P.
Flatresse
, and
A.
Burg
, “
Multipliers-driven perturbation of coefficients for low-power operation in reconfigurable fir filters
,”
IEEE Transactions on Circuits and Systems I: Regular Papers
64
,
2388
2400
(
2017
).
6.
A.
Banerjee
,
A.
Ghosh
,
M.
Das
, et al., “
High performance novel square root architecture using ancient indian mathematics for high speed signal processing
,”
Advances in Pure Mathematics
5
,
428
(
2015
).
7.
K. K.
Parajuli
, “
Square roots in vedic mathematics
,” in
Mathematics Education Forum Chitwan
, Vol.
4
(
2019
) pp.
64
71
.
8.
K.
Williams
and
M.
Gaskell
,
The cosmic calculator: A Vedic mathematics course for schools
, Vol.
3
(
Motilal Banarsidass Publisher
,
2002
).
9.
R. V. W.
Putra
, “
A novel fixed-point square root algorithm and its digital hardware design
,” in
International Conference on ICT for smart society
(
IEEE
,
2013
) pp.
1
4
.
10.
A.
Jena
and
S. K.
Panda
, “
Revision of various square-root algorithms for efficient vlsi signal processing applications
,”
IOSR Journal of Electronics and Communication Eng.(IOSR-JECE)
,
38
41
(
2016
).
11.
Y.
Li
and
W.
Chu
, “
A new non-restoring square root algorithm and its vlsi implementations
,” in
Proceedings International Conference on Computer Design. VLSI in Computers and Processors (IEEE, 1996)
pp.
538
544
.
12.
C. J.
Walczyk
,
L. V.
Moroz
, and
J. L.
Cieśliński
, “
A modification of the fast inverse square root algorithm
,”
Computation
7
,
41
(
2019
).
13.
T.
Sutikno
, “
An efficient implementation of the non restoring square root algorithm in gate level
,”
International journal of computer theory and engineering
3
,
46
(
2011
).
14.
T.
Sutikno
, “
An optimized square root algorithm for implementation in fpga hardware
,”
Telkomnika
8
,
1
(
2010
).
15.
J.
Kaur
and
N. S.
Grewal
, “
Design and fpga implementation of a novel square root evaluator based on vedic mathematics
,”
International Journal of Information & Computation Technology
4
,
1531
1537
(
2014
).
16.
J. S. S. B. K.
Tirthaji
, “
Maharaja, vedic mathematics
,” (
2001
).
17.
B. N. K.
Reddy
, “
Design and implementation of high performance and area efficient square architecture using vedic mathematics
,”
Analog integrated circuits and signal processing
102
,
501
506
(
2020
).
18.
Y.
Chandu
and
M.
Megha
, “
Design and implementation of high efficiency square root circuit using vedic mathematics
,” in
2017 2nd IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology (RTEICT)
(
IEEE
,
2017
) pp.
1148
1151
.
19.
M. K.
Sona
and
V.
Somasundaram
, “
Vedic multiplier implementation in vlsi
,”
Materials Today: Proceedings
24
,
2219
2230
(
2020
).
20.
R. K.
Barik
and
M.
Pradhan
, “
Efficient ASIC and FPGA implementation of cube architecture
,”
IET computers & digital techniques
11
,
43
49
(
2017
).
21.
H. D.
Tiwari
,
G.
Gankhuyag
,
C. M.
Kim
, and
Y. B.
Cho
, “
Multiplier design based on ancient indian vedic mathematics
,” in
2008 International SoC Design Conference
, Vol.
2
(
IEEE
,
2008
) pp.
II
65
.
22.
M.
Paramasivam
and
R.
Sabeenian
, “
An efficient bit reduction binary multiplication algorithm using vedic methods
,” in
2010 IEEE 2nd International Advance Computing Conference (IACC)
(
IEEE
,
2010
) pp.
25
28
.
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