HomeworkLib
Question

    For the Boolean function: F = xy’z +x’y’z + w’xy + wx’y + wxy a)determine the...

    For the Boolean function: F = xy’z +x’y’z + w’xy + wx’y + wxy
a)determine the k-map
b)write the new reduced equation
c) write the corresponding truth table

engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

  • a) Given F = xy’z+x’y’z+w’xy+wx’z+wxy

    K-map xyzwxy yz 01 10 0 0 0 2 xyz 01 4 0 Wxy 12 i153 15 14 wxz 10 0 10

    b)

    K-map 01 10 yz WX 01 0 14 12 13 WZ.10

    The Reduced SOP is F = wz+y’z+xy

    c) Truth Table:

        w

        x

        y

        z

        y’

        y’z

         xy  

       wz

      

    F =wz+y’z+xy

        0

        0

        0

        0

        1

        0

        0

        0

        0

        0

        0

        0

        1

        1

        1

        0

        0

        1

        0

        0

        1

        0

        0

        0

        0

        0

        0

        0

        0

        1

        1

        0

        0

        0

        0

        0

        0

        1

        0

        0

        1

        0

        0

        0

        0

        0

        1

        0

        1

        1

        1

        0

        0

        1

        0

        1

        1

        0

        0

        0

        1

        0

        1

        0

        1

        1

        1

        0

        0

        1

        0

        1

        1

        0

        0

        0

        1

        0

        0

        0

        0

        1

        0

        0

        1

        1

        1

        0

    1

        1

        1

        0

        1

        0

        0

        0

        0

    0

    0

        1

        0

        1

        1

        0

        0

        0

        1

        1

        1

        1

        0

        0

        1

        0

        0

        0

        0

        1

        1

        0

        1

        1

        1

        0

    1

        1

        1

        1

        1

        0

        0

        0

        1

    0

        1

        1

        1

        1

        1

        0

        0

        1

        1

        1
0 0
Add a comment
Know the answer?
Add Answer to:
    For the Boolean function: F = xy’z +x’y’z + w’xy + wx’y + wxy a)determine the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y +...

    2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...

  • I need help with this assignment on Boolean Expression: Create a truth table for this function:...

    I need help with this assignment on Boolean Expression: Create a truth table for this function: F(a, b, c, d) = A'B'D + A'B + ACD Then use a K-Map to reduce the given function and create a truth table for the reduced funtion also(give detail Explanation) Please Implement both original function and the reduce function using logic gates on a multisim Note that the outputs should track if the circuits are designed and implemented correctly. Thank you

  • Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth...

    Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth table. (b) Draw the logic diagram of the original function using 2-input gates. (c) Simplify the function using K-Map. (d) Draw the logic diagram of the simplified function (using 2-input gates). (e) Draw the logic diagram of the simplified function using only 2-input NAND gates.

  • Write the Boolean expression that implements the function, F(W,X,Y,Z) = ∑m(1,7,8,10,13) as a 4. NAND-NAND circuit...

    Write the Boolean expression that implements the function, F(W,X,Y,Z) = ∑m(1,7,8,10,13) as a 4. NAND-NAND circuit 5. OR-NAND circuit 6. NOR-OR 7. Construct the truth table, K-map minimization, boolean expressions and circuit diagrams for all output bits of a circuit that performs 1’s complement of a 4-bit binary number. Assume overflow bits are lost:

  • 3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a....

    3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...

  • 1- Write the unsimplified POS Boolean equation for F from the Truth Table. F = 2-...

    1- Write the unsimplified POS Boolean equation for F from the Truth Table. F = 2- Write the unsimplified SOP Boolean equation for F' from the Truth Table. F' = 3- Using only DeMorgan’s Theorem (show steps) and the unsimplified POS Boolean equation, find. maxterms minterms 0 1 0 1 0 1 10 101

  • 0 0 0 0 (a) Write the Boolean equation for the output X of the truth...

    0 0 0 0 (a) Write the Boolean equation for the output X of the truth table above (b) By using K-map, determine the expression of X in the form of product-of-sum and sum of-product. (c) Draw the logic circuits representing the expression of X in the form of product-of-sum and sum-of-product. Determine which configuration gives the lowest cost solution.

  • Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write...

    Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write the truth table of F. B) Draw the K-map for F. C) Using the K-map, write the fully simplified Sum-Of-Products expression for F. D) Write the fully simplified product-of-sums expression for F

  • Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic...

    Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic diagram using the original Boolean expression. c.Simplify the algebraic expression using Boolean algebra. d.List the truth table of the function from the simplified expression and show that it is the same as the truth table in part (a). e.Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b).

  • Find the minterms of the following Boolean expressions by first plotting each function in a map:...

    Find the minterms of the following Boolean expressions by first plotting each function in a map: (a) xy + yz + xy’z (b) C’D + ABC’ + ABD’ + A’B’D (c) wyz + w’x’ + wxz’ (d) A’B + A’CD + B’CD + BC’D

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT