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NCERT Class XII Chapter
Semiconductor Electronics
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Question : 18 of 19
Marks: +1, -0
Write the truth table for circuit given in figure below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
(Hint: A = 0, B = 1 then A and B inputs of second NOR gate will be 0 and hence Y = 1. Similarly work out the values of Y for other combinations of A and B. Compare with the truth table of OR, AND, NOT gates and find the correct one.)
Solution:  
Let us find the Boolean expression for the logic circuit.
So, output Y = X−\overset{-}{X} = (A+B‾‾)(\overline{\overline{A+B}}) = A + B
Hence, the output of given logic circuit shows that logic circuit act as OR gate.
Truth Table
First NOR gate Second NOR gate
A B A + B X = A+B‾\overline{A+B} A = X B = X Y = X−\overset{-}{X}
00 0 1 110
0 11 0 0 0 1
1 0 1 00 0 1
1 1 1 00 0 1
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