Knowee
Questions
Features
Study Tools

The Boolean expression x'y+yz+xz can be reduced toa.x'y+xzb.x'y+yz+xzc.x'y+yzd.yz+xz

Question

The Boolean expression x'y + yz + xz can be reduced to:

a. x'y + xz
b. x'y + yz + xz
c. x'y + yz + xz
d. yz + xz

🧐 Not the exact question you are looking for?Go ask a question

Solution

The Boolean expression x'y + yz + xz can be simplified using Boolean algebra rules. Here are the steps:

  1. Apply the Consensus theorem which states that (A AND B) OR (NOT A AND C) OR (B AND C) = (A AND B) OR (NOT A AND C). In this case, A corresponds to y, B to x', and C to z.

  2. So, the expression x'y + yz + xz simplifies to x'y + yz.

Therefore, the correct answer is b. x'y + yz.

Similar Questions

The Boolean expression x'y+yz+xz can be reduced toa.x'y+xzb.x'y+yz+xzc.x'y+yzd.yz+xz

2) What is the simplest Boolean expression equivalent to A’B’C + ABC’?A) A’CB) A’ + CC) A’C’D) AC

Suppose A → xBz and B → y, then the simplified grammar would be:Select one:a. None of the mentionedb. A → xBz|xyzc. A → xyz d. A → xBz|B|y

Simplify the following expressions using Boolean algebra:a) (AB’C’ + AB’C + ABC + AB’C) (A + B)

obtain the truth table of xy+y'z+x'y'+x'z and then implement the function using logic gates

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.