Question

Question 8 The logic circuit shown in the diagram directly implements which of the Boolean expressions given below? x F D y O((xy') + y(xy')) O((xy)' + y(xy)') 0 ((x + y)x + (x + y'))" O((x +y) + y + (x +y')

Answer 1

Question:
The Logic circuit shown in the diagram directly implements which of the boolean expressions given below?
Ans: ((x+y')y+(x+y'))'

Please consider the following diagram below:

There are 3 kinds of gates(along with their representations) which are as follows:
1) Not Gate -> '
2) And Gate ->.
3) Or Gate -> +

OR 1 OR 3-F NOD Y AND

I break the entire logic circuit into 3 parts and then mentioned the following 3 steps for ease of understanding:
Step-1: (x+y')
Step-2: (x+y').y
Step-3: ((x+y').y)+(x+y')
As you can see after OR gate, we have NOT then
==> ( ((x+y').y) + (x+y') )'
==> ( (x+y').y+(x+y') )'
==> ((x+y')y+(x+y'))'

(Feel free to drop me a comment, If you need any help)

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