For following logic diagram which expression is true?
For following logic diagram which expression is true?
A. <span class="math-tex">\(\overline {\left( {\overline {A.B} } \right) + \left( {A.B} \right)} \)</span>
B. <span class="math-tex">\(\overline {\left( {\bar A\;.\bar B} \right).\left( {A.B} \right)} \)</span>
C. <span class="math-tex">\(\overline {AB} .AB\)</span>
D. <span class="math-tex">\(\left( {A.B} \right)\left( {\overline {A.B} } \right)\)</span>
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Right Answer is: B
SOLUTION
Concept:
A and B are input:
AND Gate Output: A + B
NAND Gate output: \(\overline {A.B} \)
A is input:
NOT Gate Output: A̅.
Analyzing the circuit
Output of 1st AND gate = A̅.B̅
Output of 2nd AND gate = A.B
Hence, the output of the circuit is \(\overline {\left( {\bar A\;.\bar B} \right).\left( {A.B} \right)} \)
