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COMBINATIONAL
CIRCUIT
Combinational circuits
 COMBINATIONAL CIRCUIT
A Combinational Circuit is a compound circuit
consisting of the basic logic gates such as NOT,
AND, OR.
 Logic gates
All operations within a computer are carried out
by means of combinations of signals passing
through standard blokes built in circuits that
are known as logic gates.
 OR GATE
The OR gate is an electronic circuit that generate
an out put signals of 1 if any of the input
signals is also 1, OR gate has an output of 1
when either A and or both are 1.OR gate
performs logical addition on its output. 
and + is sign.
The symbolic diagram is.
R
OR
P
Q
Input Output
P Q R
1 1 1
1 0 1
0 1 1
0 0 0
(P V
Q)=R
 And Gate
The and gate is logic circuit with two or more
input signals and one out put signal. If both
input signals are 1, the output signal is 1.
Otherwise the output signal is 0.it is shown as
symbolic represented. Sign is . and  .
p
AND
Q
R
Input
P
Input
Q
Output
R
1 1 1
0 1 0
1 0 0
0 0 0
P  Q = R
 Not Gate Or (inverter)
An inverter is a gate with one input signal and
one out put signal. Its input is not same as
out put . The out put signal is always the
opposite or complement of the input. The
sign is 
NOT
P R
~
Input P Output
R
1 0
0 1
~P = R
 Combination circuits
A B
A V B
~A
~B
~A V ~B
(A V B) ^ (~A V ~B)
or
and
not
or
not
 Combination circuit
(P  Q) V (~P )=R
R
(P V Q) ^ (S V R) = K
K
S
Combination circuits
AND
P
Q
R
OR
NOT
P  Q
(P  Q)  ~R
~R
(P Q) V ~R = S
S
 Combinational circuits
AND
P
Q
NOT
R
S
OR
~(P ^ Q) v R=S
-(P . Q) + R = S
 .
AND
OR
OR
P
Q
R
PQ
PR
(PQ)  (PR)
 Combinational circuits
(P V Q) ^ (P V R) = S
S
(P + Q) . (P + R) =
S

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Combinational circuits

  • 3. COMBINATIONAL CIRCUIT A Combinational Circuit is a compound circuit consisting of the basic logic gates such as NOT, AND, OR. Logic gates All operations within a computer are carried out by means of combinations of signals passing through standard blokes built in circuits that are known as logic gates.
  • 4. OR GATE The OR gate is an electronic circuit that generate an out put signals of 1 if any of the input signals is also 1, OR gate has an output of 1 when either A and or both are 1.OR gate performs logical addition on its output. and + is sign. The symbolic diagram is. R OR P Q Input Output P Q R 1 1 1 1 0 1 0 1 1 0 0 0 (P V Q)=R
  • 5. And Gate The and gate is logic circuit with two or more input signals and one out put signal. If both input signals are 1, the output signal is 1. Otherwise the output signal is 0.it is shown as symbolic represented. Sign is . and . p AND Q R Input P Input Q Output R 1 1 1 0 1 0 1 0 0 0 0 0 P Q = R
  • 6. Not Gate Or (inverter) An inverter is a gate with one input signal and one out put signal. Its input is not same as out put . The out put signal is always the opposite or complement of the input. The sign is NOT P R ~ Input P Output R 1 0 0 1 ~P = R
  • 7. Combination circuits A B A V B ~A ~B ~A V ~B (A V B) ^ (~A V ~B) or and not or not
  • 8. Combination circuit (P Q) V (~P )=R R
  • 9. (P V Q) ^ (S V R) = K K S Combination circuits
  • 10. AND P Q R OR NOT P Q (P Q) ~R ~R (P Q) V ~R = S S
  • 12. . AND OR OR P Q R PQ PR (PQ) (PR) Combinational circuits (P V Q) ^ (P V R) = S S (P + Q) . (P + R) = S
  • 13.