Solve expressions and display on webpage

Question

I am very confused with a question. Question below

What is the circle and inside plus sign? and what type of expression is this? Is this any kind of Boolean algebra Or logic gates? Can anyone help how to solve it?

Answer 1

Which gate it is

That circle with a plus sign i.e ⊕, is known as Exclusive OR gate. It is an OPERATION of OR gate.

Value for this Gate

Its value is true, if either one is true and the second is false. If both of the inputs are true of both are false, its false.

Truth Table for this gate

X | Y | Result
0   0   0
1   0   1
0   1   1
1   1   0

This is the truth table for it.

Your Equation

(x+y)⊕y

First solve out the paranthesis part. Then use the result as x and you have the y on the right side of the operator. Now, check in the table for the value :) You'll get the answer. If both are true, the answer would be false, it either one is false and other is true then the result would be true. From the Truth Table of the GATE.

Reference

For more on that refer the link

https://en.wikipedia.org/wiki/XOR_gate

Answer 2

In Boolean Algebra:

+ represents OR

. represents AND

⊕ represents Exclusive OR (a.k.a. XOR)

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An OR is true if one of its operands is true.

And AND is true if both its operands are true.

And XOR is true if one of its operands is true, but not both.