Question

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).

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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...

  • Can I get help here ??? its digital circuit electrical engineering questions P4. 20pts For the...

    Can I get help here ??? its digital circuit electrical engineering questions P4. 20pts For the timing diagram in Figure P2.3, writhe the truth table and synthesize the function f(x, х, Х,). 1 0 0 Time Figure P2.3 P5. 30pts Given the Boolean function, F = xy'z + x'y'z + xyz (a) List the truth table of the function (b) Implement the logic gate circuit using the original Boolean expression (c) Simplify the algebraic expression using Boolean algebra (d) List...

  • 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.

  • Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the...

    Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.

  • Derive the truth table for the following Boolean functions: F(x,y,z) = x'y'z' + x'yz + xy'z'...

    Derive the truth table for the following Boolean functions: F(x,y,z) = x'y'z' + x'yz + xy'z' + xyz

  • Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down...

    Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...

  • For the following functions and using Boolean identities a) Simplify the given functions b) Construct the...

    For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)

  • 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

  • 1. Logic Circuits, Truth Table. k-mapping, Back to Logic Circuits.

    introduction to HDL, 1. Logic Circuits. Draw the equivalent logic circuit diagram of the given expression. F = (ab)̅̅̅̅̅̅ + (ac)2. Truth Table. Provide the truth table from your logic circuit in part 1. 3. K-Mapping. Simplify the circuit using the truth table you derived from part 2. 4. Back to Logic Circuits. Draw the equivalent logic circuit diagram of your simplified expression frompart 3. 

  • all fast Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number of the given Boolean function. Def...

    all fast Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number of the given Boolean function. Define the function, using numbers of binary vectors 2. Simplify the given function by reducing its expression into DNF (Disjunctive Normal Form. Simplify the given function by reducing its xpression into a polynomial of modulo2. the given Boolean function geometrically minimize it. resent f (x)vxž Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number...

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
ADVERTISEMENT