ldfkda is;shï Karnaugh Maps ufyaIa fldä;=jlal= BTec(UG) , MCTS, MIEEE Professional Development Course in ICT (AIT-Thailand) National Dip in Teaching (Merit)
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ldfkda is;shï Karnaugh Maps
ufyaIa fldä;=jlal= BTec(UG) , MCTS, MIEEE Professional Development Course in ICT (AIT-Thailand) National Dip in Teaching (Merit)
my; nQ,shdkq iólrKh Tn óg by; oS bf.k .;a l%uhla Ndú; fldg yels ;dla ir, lrkak
A B + A B + AB + AB
.=Ks;fha tl;=j yd tl;=fõ .=Ks;h
Sum of Product (SOP) and Product of Sum (POS)
A B C Out Put
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
.=Ks;fha tl;=j Sum of Product (SOP)
A’.B’.C’
A’.B’.C
A.B’.C’
A.B.C’
A’.B’.C’ A’.B’.C A.B’.C’ A.B.C’ + + +
A B C Out Put
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
.=Ks;fha tl;=j Sum of Product (SOP)
A’.B’.C’
A’.B’.C
A.B’.C’
A.B.C’
tl;=fõ .=Ks;h Product of Sum (POS)
A B C Out Put
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
A + B’ + C
A + B’ + C’
A’ + B + C’
A’ + B’ + C’
tl;=fõ .=Ks;h Product of Sum (POS) A B C Out Put
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
A + B’ + C
A + B’ + C’
A’ + B + C’
A’ + B’ + C’
(A + B’ + C). (A + B’ + C’). (A’ + B + C’). (A’ + B’ + C’)
ldfkda is;shï Karnaugh Maps
• ldfkda is;shï ^Karnaugh Maps& hkq nQ,shdkq iólrK úi|Sug Ndú; lrk rEmhuh udOHhls'
fuu l%uh 1953 oS muK weußldkq cd;sl fN!;sl úoHd{fhl= jQ fudaßia ldfkda úiska y÷kajd fok ,oS'
A B + A B + AB + AB
A B A B
A B A B
A B
0
1
0 1
1
1 1
A B + A + B
oeka my; .eg,qj úi|k wdldrh n,uq
X Y Out put
0 0 1
0 1 1
1 0 0
1 1 0
X Y Out put
0 0 1
0 1 1
1 0 0
1 1 0 X Y
0
1
0 1
1 1 X Y
X Y
wdodk 4 la iys; wjia:d
A B C D Out put (X)
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 0
0 1 0 1 1
0 1 1 0 0
0 1 1 1 1
1 0 0 0 0
1 0 0 1 0
1 0 1 0 0
1 0 1 1 0
1 1 0 0 0
1 1 0 1 1
1 1 1 0 0
1 1 1 1 1
A’B’C’D’
A’BC’D
A’BCD
ABC’D
ABCD
AB CD
00
01
11
10
00 01 11 10
1
1 1
1 1
A’B’C’D’ + A’B’CD’ + AB’C’D’ + AB’CD’
AB CD
00
01
11
10
00 01 11 10
1 1
1 1
oS we;s i;H;d j.= j,g .e,fmk nQ,shdkq ùc .Ks;uh iólrK f.dv k.kak
tu nQ,shdkq ùc .Ks;uh iólrK ldfkda is;shï weiqßka iqtlrkak
wdY%s; f,aLk yd fjí wvú http://anadolu.edu.tr www.univotec.ac.lk www.univoshare.org
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