Question

The switching circuit given in the figure can be expressed in binary logic notation as,

• A. $L=(A+B)(C+D)E$
• B. $L=AB+CD+E$
• C. $L=E+(A+B)(C+D)$
• D. $L=(AB+CD)E$

Answer 1

The correct option is A $L=(A+B)(C+D)E$

We have the switching circuit as,
Now, we consider the parallel switches as shown belowThe logic expression for parallel switches is obtained as,
$L=A+B$
Again, we consider the series connected switches,


The logic expression for series connected switch is,
$L=AB$
Hence, the logic expression for given circuit is,
$L=(A+B)(C+D)E$