Question: Simplify the following functions using Boolean Algebra a. F(X, Y, Z) = XY+X'Y+XZ b. F(X, Y, Z) = (X+Y) (X+Y+Z) c. F(X, Y, Z)

Simplify the following functions using Boolean Algebra a. F(X, Y, Z) =

Simplify the following functions using Boolean Algebra a. F(X, Y, Z) = XY+X'Y+XZ b. F(X, Y, Z) = (X+Y) (X+Y+Z) c. F(X, Y, Z) = XY'Z+XYZ+Y'Z d. F(X, Y, Z) = XY+X'YZ e. F(X, Y, Z) = X'Y + XYZ' f. F(X, Y, Z) =(XY) + (X+Y+Z)X + YZ g. F(X, Y, Z) = (XY)' +(X+Y+Z)' Simplify following functions using Boolean Algebra a. F(X,Y,Z) = YZ + (X+Y)' + (XYZ)' b. F(X,Y,Z) = (X+Y+Z)' (X+Y)

Step by Step Solution

★★★★★

3.48 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

QUESTION a Solution Rewrite the equation XY XY XZ YXX XZ Use complement law XX1 with XX YXX XZY1XZ Apply the identity law X1 X with XY Y1XZYXZ FXYZXYXYXZ is simplified to YXZ which is the answer QUEST... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Simplify each of the following Boolean expressions as much as possible using identities: (a) XY + (1 X) + XZÌ + XYÌ + XZ (b) (c) BC + ABCDÌ + AÌBCD + ABCD (d) BC + ABCD +...

if we choose statistic as our keyword, our cipher would be determined as follows: method i. write the word statistic without the repeated letters. then complete the cipher with the unused alphabet...

Simplify the following Boolean expressions. (a) xy + (x + y) + y (c) yz + wx + z + [wz(xy + wz)] x y+ y +z)

Find the partial derivatives of the following functions: a. f(x,y,z)=xy b. f(x,y,z)=z c. f(x,y)=sin (xsin (y)) d. f(x,y,z)= sin (x sin (y sin(z))) e. f(x,y,z)=xy2 f. f(x,y,z)=xy=z g. f(x,y,z)=(x +y)2...

Given the following functions F(s), find f(t) F(s) = s + 10/(s + 4) + (s + 6) F(s) = 24/(s + 2) + (s + 8)

Given the following functions F(s), find f(t). F(s) = s2 + 7s + 12 / (s + 2) (s + 4) (s + 6) F(s) = (s + 3) (s + 6) / s (s2 + 10s + 24)

Given the following functions F(s) find inverse Laplace functions. F(s) = 10 / (s2 + 2s + 2) F(s) = 10(s + 2) / (s2 + 4s + 5)

Given the following functions F(s) find f(t) F(s) = s2 / (s + 1) 2 (s + 20) F(s) = s2 + 9s 20/ s(s + 4)2(s + 5)

Determine the cumulative distribution function for the variable in Exercise 3-23. Verify that the following functions are cumulative distribution functions, and determine the probability mass...

A researcher studying the properties of ions in the upper atmosphere wishes to construct an apparatus with the following characteristics: Using an electric field, a beam of ions, each having charge...

Please complete the questions below for Microeconomics. 0. 4. The above figure shows the market for a particular good. If the market is controlled by a perfect-price-discriminating monopoly, the...

A program that asks the user to enter a number between 1 and 20 (inclusive). It then prints out whether the number is between 1 and 10 (inclusive) or between 11 and 20 (inclusive) or if it is not in...

A piece of labor-saving equipment has just come onto the market that Mitsui Electronics, Limited, could use to reduce costs in one of plants in Japan. Relevant data relating to the equipment follow:...

Company Information & Summary of Significant Account Policies Macon Machines Company began operations on November 1, 2024. The main operating goal of the company is to sell high end robots. Customers...

Palma Company had 90% ownership interest acquired several years ago in Small Company. The amortization of allocated excess (identifiable assets) arising from this acquisition amounted to P2,000 per...

5. Do all parts below without using u-substitution 1 3 2 a. Evaluate f(x- 2x + 4x) dx -1 b. / Evaluate 2x(x - 3)dx 9x2-x3/2 c. Evaluate - dx x d. Evaluate 16 dx CSCX 3 x+x+1 e. Evaluate f dx x dx f....

Need 9-34 answered, but requires 9-33 . 9-33. Unitwide versus Department AllocationAdministrative (Service) Function (LO 9-2, 3) The Personnel Department at Hernandez Bros. is centralized and...

A firm has the following balance sheet: Assets Cash Accounts receivable Inventory Plant and equipment $ 15,000 150,000 92,000 170,000 $427,000 Liabilities and Equity Accounts payable Long-term debt...

What is meant by foldback in linear decoding?

Find the odd parity bit for the following binary message to be transmitted: 10110000.

Express each of the following expressions in terms of minterms and maxterms. (a) F = BC + AB + B(A + C) (b) F = (A + B + C)(A + B)

Mr. and Mrs. Ogrodnik want to list their house at a price that will net them a minimum of $320,000 after a real estate commission of 5.5% of the selling price. Rounded to the nearest $100, what is...

A 28% trade discount on a DVD recorder represents a discount of $136.92 from the suggested retail price. What is the net price to the buyer?

Bosleys Pet Foods buys dog kibble for $19.50 per bag, less 40%. The stores overhead is 33 1/3 % of the selling price, and the desired profit is 10% of the selling price. a. At what price per bag...