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Tuesday 28 April 2015

LOGIC GATES: X-OR Gate and Simplification of Circuit



LOGIC GATES




A
B
C

X
1
1
1


1
1
0


1
0
1


1
0
0


0
1
1


0
1
0


0
0
1


0
0
0


Q1)

A
B
C

X
1
1
1


1
1
0


1
0
1


1
0
0


0
1
1


0
1
0


0
0
1


0
0
0


Q 2) Complete the truth table for the following logic circuit:
 
Q3) Complete the truth table for the following logic circuit:
A
B
C

X
1
1
1


1
1
0


1
0
1


1
0
0


0
1
1


0
1
0


0
0
1


0
0
0


 




Q4) Complete the truth table for the following logic circuit:
A
B
C

X
1
1
1


1
1
0


1
0
1


1
0
0


0
1
1


0
1
0


0
0
1


0
0
0


 

Simplification Logic Circuit:

Simplification means reducing the number of components in a logic circuit. As a result of simplification the cost of production can be less. This can also improve reliability and make it easier to trace faults if they occur.

Q5) Show by drawing a truth table which single logic gate or what else has the same function as the logic circuit drawn in
a)
 
b)

c)
d)
 
What could replace the whole logic circuit?
a)
 
 
b)