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n
FP
GA
.
I
n
th
i
s
p
ap
er
,
ch
ar
ac
ter
is
tics
o
f
A
NN
an
d
f
ea
tu
r
e
s
o
f
C
S
D
m
u
ltip
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alg
o
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h
m
ar
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ed
f
o
r
r
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lizatio
n
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f
h
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A
N
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&
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ates)
to
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m
in
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t
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p
er
f
o
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a
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ce
o
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r
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,
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r
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n
al
h
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er
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n
e
u
r
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n
al
h
a
lf
ad
d
er
Sectio
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s
h
o
w
s
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s
tr
u
ct
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r
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o
r
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asic
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ic
g
ates,
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n
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co
n
tai
n
s
d
esi
g
n
o
f
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ic
g
ates
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i
th
v
ed
ic
al
g
o
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ith
m
,
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n
.
4
d
is
cu
s
s
es
d
esig
n
o
f
NN
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ic
g
a
te
s
w
i
th
C
SD
al
g
o
r
ith
m
,
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n
5
p
r
esen
t
s
r
es
u
lts
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d
d
i
s
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s
s
io
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o
f
t
h
e
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r
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o
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t
w
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k
a
n
d
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6
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r
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ts
co
n
clu
s
io
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d
f
u
tu
r
e
s
co
p
e
o
f
t
h
e
p
r
o
p
o
s
ed
w
o
r
k
.
2.
NE
URO
NA
L
H
AL
F
AD
DE
R
2.
1
.
Neuro
n
M
o
del
Mc
C
u
llo
ch
in
tr
o
d
u
ce
d
th
e
m
o
d
el
f
o
r
n
eu
r
o
n
af
ter
r
ig
o
r
o
u
s
s
tu
d
y
o
n
h
u
m
a
n
n
er
v
o
u
s
s
y
s
te
m
.
Ma
n
y
m
o
d
els
ar
e
p
r
o
p
o
s
ed
af
ter
th
i
s
m
o
d
el.
A
s
i
n
th
e
b
io
lo
g
ical
s
y
s
te
m
n
e
u
r
o
n
g
et
s
s
ti
m
u
lu
s
f
r
o
m
i
ts
d
en
d
r
ites
,
n
e
u
r
o
n
in
th
e
s
e
m
o
d
els
g
et
s
s
ti
m
u
lu
s
i
n
p
u
t
f
r
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m
n
ea
r
b
y
f
ield
s
.
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c
h
in
p
u
ts
ar
e
co
m
b
i
n
ed
to
f
o
r
m
a
n
et
o
u
tp
u
t
a
n
d
th
at
n
et
o
u
tp
u
t
is
s
e
n
d
to
ac
ti
v
atio
n
f
u
n
c
ti
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n
w
h
ic
h
m
a
y
b
e
lin
ea
r
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r
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o
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f
th
e
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t
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s
h
ig
h
er
th
a
n
t
h
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ld
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n
o
u
tp
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t
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ti
v
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f
u
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is
h
i
g
h
an
d
i
s
k
n
o
w
n
a
s
“f
ir
ed
”.
T
h
is
ca
n
b
e
g
i
v
en
a
s
in
p
u
t
to
an
o
t
h
er
n
e
u
r
o
n
f
o
r
f
ir
in
g
.
B
asic
n
eu
r
o
n
al
m
o
d
el
o
f
Mc
C
u
llo
ch
i
s
as
s
h
o
w
n
in
F
ig
u
r
e
1
.
T
h
e
n
eu
r
o
n
m
a
y
b
e
d
escr
ib
ed
in
th
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o
llo
w
i
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w
a
y
.
k
∑
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x
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v
k
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u
k
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y
k
ⱷ
(v
k
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(
3
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W
h
er
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x
1
, x
2
, x
3
,
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m
ar
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i
n
p
u
t sti
m
u
l
i.
w
kj
=
s
y
n
ap
tic
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t o
f
n
e
u
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o
n
k
y
k
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o
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n
eu
r
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n
k
b
k
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b
ia
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e
o
f
n
eu
r
o
n
k
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ac
tiv
atio
n
f
u
n
ctio
n
Fig
u
r
e1
.
Mc
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u
r
o
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m
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eu
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itm
(
La
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kira
n
Mu
kk
a
r
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147
2
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2
.
NN
m
o
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l f
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h
in
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x
2
an
d
o
u
tp
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ts
s
u
m
a
n
d
ca
r
r
y
.
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u
m
b
er
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e
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r
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g
n
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t
th
r
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g
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f
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n
.
Fig
u
r
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2
.
NN
m
o
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el
f
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r
Half
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d
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er
2
.
3
.
H
a
rdw
a
re
re
a
liza
t
io
n
o
f
a
neuro
n
R
ea
lizatio
n
o
f
h
ar
d
w
ar
e
f
o
r
Ar
tif
icial
Ne
u
r
o
n
h
a
s
b
ee
n
o
f
k
ee
n
f
o
cu
s
s
i
n
ce
last
f
e
w
d
ec
a
d
es.
FP
GA
is
o
n
e
o
f
t
h
e
e
f
f
icien
t
V
L
SI
i
m
p
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m
e
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m
et
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d
s
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ar
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m
p
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m
e
n
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ti
f
icial
n
eu
r
o
n
.
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m
p
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m
e
n
tatio
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le
in
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e
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r
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as s
h
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g
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Fig
u
r
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p
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s
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e
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r
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n
m
o
d
el
3.
VE
DI
C
NE
U
RO
NAL H
A
L
F
ADDER
B
asic
n
eu
r
al
n
et
w
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r
k
is
ac
t
u
all
y
co
n
tai
n
s
m
u
ltip
lier
,
ad
d
er
an
d
ac
tiv
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f
u
n
c
tio
n
alo
n
g
w
i
t
h
th
e
in
p
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ts
,
w
ei
g
h
t
s
,
b
ias
in
p
u
ts
an
d
o
u
tp
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t(
s
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as
s
h
o
w
n
i
n
Fig
u
r
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3
.
T
h
is
ca
n
b
e
ca
lled
as
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ic
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r
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n
s
tr
u
ct
u
r
e
as
v
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al
g
o
r
ith
m
i
s
ap
p
lied
in
th
e
m
u
ltip
lier
b
lo
ck
.
Ved
ic
alg
o
r
ith
m
co
n
tai
n
s
„
Ur
d
h
v
aT
ir
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g
b
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a
m
‟
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n
tr
a
w
h
ic
h
i
m
p
r
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s
th
e
s
p
ee
d
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f
m
u
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licatio
n
.
Fo
llo
w
in
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g
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r
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4
s
h
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ati
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4
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Fig
u
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r
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CSD
NE
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L
F
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DDER
Ved
ic
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e
u
r
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s
tr
u
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h
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la
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t
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e
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e
u
r
o
n
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u
ctu
r
e
if
Ved
ic
m
u
ltip
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ep
lace
d
w
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SD
m
u
ltip
lier
[
3
]
.
W
ith
C
SD
s
p
ee
d
o
f
co
m
p
u
tatio
n
ca
n
b
e
f
u
r
th
er
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m
p
r
o
v
ed
.
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ev
ie
w
o
f
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SD
ch
ar
ac
ter
i
s
t
ics
alo
n
g
w
i
th
C
S
D
m
u
l
tip
l
icatio
n
al
g
o
r
ith
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s
as
ex
p
l
ain
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in
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o
llo
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s
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b
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n
s
4
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d
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r
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4
.
1
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w
o
f
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G
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R
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n
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e
n
tio
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m
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h
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n
u
m
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u
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s
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th
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o
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th
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m
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er
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f
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ze
r
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its
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n
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e
m
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.
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ce
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e
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n
u
m
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t
h
e
p
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s
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s
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n
t
n
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it
co
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tain
s
m
i
n
i
m
u
m
n
o
n
ze
r
o
b
its
.
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h
is
ca
n
b
e
d
o
n
e
b
y
r
ep
r
esen
tin
g
t
h
e
n
u
m
b
er
in
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a
n
o
n
ic
Sig
n
ed
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g
it
f
o
r
m
.
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h
e
ch
ar
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ter
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tic
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o
f
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r
e
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r
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n
tatio
n
ar
e
s
h
o
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n
b
elo
w
[
2
,
3
,
4
]
.
a
A
C
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n
u
m
b
er
d
o
esn
‟
t c
o
n
tai
n
co
n
s
ec
u
ti
v
e
b
its
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e
n
o
n
ze
r
o
.
b
T
h
e
C
SD n
u
m
b
er
co
n
tai
n
s
m
i
n
i
m
u
m
n
u
m
b
er
o
f
n
o
n
ze
r
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b
its
,
h
en
ce
t
h
e
n
a
m
e
ca
n
o
n
ic.
c
T
h
e
C
SD r
ep
r
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tatio
n
i
s
u
n
i
q
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e
f
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r
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g
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e
n
n
u
m
b
er
.
d
C
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n
u
m
b
er
s
co
v
er
t
h
e
r
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g
e
-
4
/3
to
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in
w
h
ich
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h
e
v
a
lu
e
s
in
t
h
e
r
an
g
e
[
-
1
,
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ar
e
o
f
g
r
ea
t in
ter
est.
e
T
h
e
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m
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er
o
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ze
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o
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its
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th
e
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o
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o
r
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it C
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m
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T
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er
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o
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e
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u
m
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n
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n
d
3
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% f
e
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l n
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m
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.
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h
e
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o
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ith
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m
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er
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ted
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.
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e
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ar
y
A
i
s
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ep
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ted
as A
=
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er
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s
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r
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i=
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{
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4
.
2
.
CSD
M
ultiplica
t
io
n
Mu
ltip
licat
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i
s
t
h
e
p
r
i
m
iti
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e
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it
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etic
o
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er
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n
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i
s
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o
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k
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d
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h
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s
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ig
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.
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h
u
s
w
e
h
av
e
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n
s
id
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m
u
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o
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ith
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ip
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ce
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m
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u
tatio
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m
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r
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h
e
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u
r
e
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s
h
o
w
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th
e
4
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it C
S
D
m
u
l
tip
lic
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er
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ter
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g
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r
e
7
[
3
]
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ter
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o
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.
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o
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0
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r
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n
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o
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u
ct
w
ill b
e
s
to
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ed
in
r
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l
t.
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u
r
e
6
C
SD N
e
u
r
o
n
Str
u
ct
u
r
e
as s
h
o
w
n
i
n
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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r
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llu
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ased
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5
,
6
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.
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u
r
e
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m
atic
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ased
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ate
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r
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u
r
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.
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m
atic
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ased
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g
a
te
(
Su
m
p
ar
t o
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f
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)
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ab
le
1
.
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8
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CO
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& F
U
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I
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is
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is
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h
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l
tip
lier
s
.
T
h
is
w
o
r
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ca
n
b
e
ex
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d
ed
to
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m
p
le
m
en
t a
n
y
o
t
h
er
co
m
b
in
a
t
io
n
al
cir
cu
it
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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:2
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8
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2
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ly
2
0
1
9
:
1
4
5
–
1
5
0
150
REFEREN
CES
[
1
]
A
n
s
h
i
k
a
,
Y
a
m
u
n
a
S
V
,
N
i
d
h
i
G
o
e
l
a
n
d
S
.
I
n
d
u
(
2
0
1
5
,
S
e
p
)
.
N
e
u
r
a
l
L
o
g
i
c
G
a
t
e
s
R
e
a
l
i
z
a
t
i
o
n
u
s
i
n
g
V
e
d
i
c
M
a
t
h
e
m
a
t
i
c
s
.
P
a
p
e
r
p
r
e
s
e
n
t
e
d
a
t
t
h
e
I
E
E
E
c
o
n
f
e
r
e
n
c
e
o
n
N
e
x
t
G
e
n
e
r
a
t
i
o
n
C
o
m
p
u
t
i
n
g
T
e
c
h
n
o
l
o
g
i
e
s
,
D
e
h
r
a
d
u
n
,
I
n
d
i
a
.
[2
]
M
.
L
a
k
sh
m
i
Kira
n
a
n
d
K.
V
e
n
k
a
ta
Ra
m
a
n
a
iah
.
(2
0
1
7
).
Im
p
lem
e
n
tatio
n
o
f
Hig
h
S
p
e
e
d
a
n
d
L
o
w
A
re
a
Dig
it
a
l
Ra
d
ix
-
2
CS
D
u
si
n
g
P
i
p
e
li
n
e
C
o
n
c
e
p
t.
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
tro
n
ics
a
n
d
C
o
mm
u
n
ica
ti
o
n
En
g
in
e
e
rin
g
.
1
0
(1
).
p
p
.
5
3
-
6
1
.
[
3
]
Ke
sh
a
b
K.P
a
r
h
i.
(
1
9
9
9
).
V
L
S
I
Di
g
it
a
l
S
ig
n
a
l
P
r
o
c
e
ss
in
g
S
y
st
e
m
s:
De
sig
n
a
n
d
Im
p
le
m
e
n
tatio
n
,
Jo
h
n
W
il
e
y
a
n
d
so
n
s
P
u
b
l
ish
i
n
g
Co
m
p
a
n
y
In
c
.
,
In
d
ia .
[4
]
M
.
L
a
k
sh
m
iKiran
a
n
d
K.V
.
Ra
m
a
n
a
iah
.
(2
0
1
7
).
De
sig
n
a
n
d
Im
p
le
m
e
n
tatio
n
o
f
Hig
h
S
p
e
e
d
Ra
d
ix
-
2
CS
D
b
a
se
d
F
lo
a
ti
n
g
P
o
i
n
t
M
u
lt
i
p
li
e
r
.
I
n
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
sc
ien
ti
f
ic re
se
a
rc
h
in
m
u
lt
i
d
isc
ip
li
n
a
ry
st
u
d
ies
.
3
(
7
).
p
p
.
1
7
-
2
2
.
[5
]
S
h
o
a
b
A
h
m
e
d
Kh
a
n
.
(2
0
1
0
).
Dig
it
a
l
De
sig
n
o
f
sig
n
a
l
p
ro
c
e
ss
in
g
s
y
ste
m
s:
A p
ra
c
ti
c
a
l
a
p
p
ro
a
c
h
,
Jo
h
n
W
il
e
y
&
so
n
s
P
u
b
l
ish
i
n
g
Co
m
p
a
n
y
,
UK.
[
6
]
N
e
e
l
u
F
a
r
h
a
n
,
A
n
n
L
o
u
i
s
a
P
a
u
l
J
.
,
N
a
a
d
i
y
a
K
o
u
s
a
r
L
S
.
,
D
e
v
i
k
a
S
.
a
n
d
P
r
o
f
.
R
u
c
k
m
a
n
i
D
i
v
a
k
a
r
a
n
.
(
2
0
1
6
)
.
D
e
s
i
g
n
a
n
d
I
m
p
l
e
m
e
n
t
a
t
i
o
n
o
f
L
o
g
i
c
G
a
t
e
s
a
n
d
A
d
d
e
r
C
i
r
c
u
i
t
s
o
n
F
P
G
A
u
s
i
n
g
A
N
N
.
I
n
t
e
r
n
a
t
i
o
n
a
l
J
o
u
r
n
a
l
f
o
r
R
e
s
e
a
r
c
h
i
n
A
p
p
l
i
e
d
S
c
i
e
n
c
e
&
E
n
g
i
n
e
e
r
i
n
g
T
e
c
h
n
o
l
o
g
y
.
4
(
5
)
,
6
2
3
-
6
2
9
.
Evaluation Warning : The document was created with Spire.PDF for Python.