HomeworkLib
Question
please simplest part c donot use kmap thank you
brtho the canoni cal Sum oP Products ex Pression of P F(X Xo, yio 2 m6,415,3, 9, l0,1213, 1M, 15). IC)-Show the Simpies+ Poss
engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

b) f (x1, xo, y1, yo) =  \summ (0, 4, 5, 8, 9, 10, 12, 13, 14, 15)

mo = 0000 = x1'xo'y1'yo'
m4 = 0100 = x1'xoy1'yo'
m5 = 0101 = x1'xoy1'yo
m8 = 1000 = x1xo'y1'yo'
m9 = 1001 = x1xo'y1'yo
m10 = 1010 = x1xo'y1'yo
m12 = 1100 = x1xoy1'yo'
m13 = 1101 = x1xoy1'yo
m14 = 1110 = x1xoy1yo'
m15 = 1111 = x1xoy1yo

The Canonical SOP is
f = x1'xo'y1'yo' + x1'xoy1'yo'+ x1'xoy1'yo+ x1xo'y1'yo'+ x1xo'y1'yo+x1xo'y1'yo+ x1xoy1'yo'+ x1xoy1'yo+ x1xoy1yo'+ x1xoy1yo

c) Given
f = x1'xo'y1'yo' + x1'xoy1'yo'+ x1'xoy1'yo+ x1xo'y1'yo'+ x1xo'y1'yo+x1xo'y1'yo+ x1xoy1'yo'+ x1xoy1'yo+ x1xoy1yo'+ x1xoy1yo
f = x1'y1'yo'(xo' + xo)+ x1'xoy1'yo+ x1xo'y1'(yo'+ yo)+x1xo'y1'yo+ x1xoy1'(yo'+ yo)+ x1xoy1(yo'+ yo)

{ By Distributive law PQ+PR= P(Q+R) }
f = x1'y1'yo'(1)+ x1'xoy1'yo+ x1xo'y1'(1)+x1xo'y1'yo+ x1xoy1'(1)+ x1xoy1(1)
f = x1'y1'yo'+ x1'xoy1'yo+ x1xo'y1'+x1xo'y1'yo+ x1xoy1'+ x1xoy1
f = x1'y1'(yo'+ xoyo)+ x1xo'y1'(1+yo)+ x1xo(y1'+ y1)  { By Distributive law PQ+PR= P(Q+R) }
f = x1'y1'(yo'+ xo)(yo'+ yo)+ x1xo'y1'(1+yo)+ x1xo(y1'+ y1)  { By Distributive law P+QR = (P+Q)(P+R) }
f = x1'y1'(yo'+ xo)(1)+ x1xo'y1'(1)+ x1xo(1) { We know that P+P'=1 }
f = x1'y1'(yo'+ xo)+ x1xo'y1'+ x1xo
f = x1'y1'yo'+ x1'xoy1'+ x1xo'y1'+ x1xo
f = y1’yo’+x1yo’+xoy1’+x1xo+x1y1’

The Simplified SOP is  f = y1’yo’+x1yo’+xoy1’+x1xo+x1y1’

By Using K-map

F (x1, xo, y1, yo) ,4, 5, 8, 9, 10, 12, 13, 14, 15) y1yo х1уo К-map 10 y1yo 00 01 11 х1хо 0 00 0 3 хоу1 1 1 0 01 4 5 7 6 1

The Simplified SOP of f = y1’yo’+x1yo’+xoy1’+x1xo+x1y1’

0 0
Add a comment
Know the answer?
Add Answer to:
please simplest part c donot use kmap thank you brtho the canoni cal Sum oP Products...
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

  • i know a b c d e but i dont know f g h i and j please solve only ' f g h i and j' thank u 4) Jaintpor f tue con...

    i know a b c d e but i dont know f g h i and j please solve only ' f g h i and j' thank u 4) Jaintpor f tue cont rand vas Xand 4 en(a) Answer the question (2) → fing)-xy oswa , os46ì a) Conpaile the arginl puf of X as in Is). c) Compate the conditional pdf fou (ug) asin 15).。 Compute consitrono why or why nat? on ef the random, variable is the...

  • Calculus 2 Please use best handwriting as possible! Thank you Given /(x) = show the details...

    Calculus 2 Please use best handwriting as possible! Thank you Given /(x) = show the details of how to obtain the 3 MacLaurin polynomial for this function (6 p 17) Given f(x)=sin(21x), show the details of how to obtain the MacLaurin scries for this function. 18) Write 0.2121 as a fraction of two integers using a geometric series 19) Evaluate the improper integral: 21 dx x

  • Please show steps and work on how to find part C. Thank you! A survey of...

    Please show steps and work on how to find part C. Thank you! A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c). (a) Construct a contingency table for the two variables. Course Personal Male Work Female 0 (b) Test whether gender is independent of drop reason at the a= 0.1 level of significance. What are the hypotheses? Full data set o M Work...

  • o, Nhat is-the Sum of he Finite arthmche Seriks ST df 1. What is the simplest...

    o, Nhat is-the Sum of he Finite arthmche Seriks ST df 1. What is the simplest form of the radical expression? 625x20y8 2. How can you write the expression with a rationalized denominator? V49 2 3. What is the solution to the equation? 16 = (x-2 ) Page 14 a + 4Let f(x)-x+7 and gx)Fd((-3) S. Graph the function y 2Vx +4 10 8 6 10 10 6 -10 6. Is the relationship between the variables in this table a...

  • Please do it in c++ please show steps as much as possible to help me understand...

    Please do it in c++ please show steps as much as possible to help me understand the code thank you Credit Card error detection check -> Luhn Algorithm, (http://www.freeformatter.com/credit-card-number-generator-validator.html#cardFormats) From the rightmost digit, which is the check digit, moving left, double the value of every second digit; if the product of this doubling operation is greater than 9 (e.g., 7 * 2 = 14), then sum the digits of the products (e.g., 10: 1 + 0 = 1, 14: 1...

  • Please solve the problems from 7_8 Digital system please just answer 7_8 thank you 1 Chapter...

    Please solve the problems from 7_8 Digital system please just answer 7_8 thank you 1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...

  • QUESTION 26 AND 31 PLEASE SHOW STEPS THANK YOU SO MUCH J-2 J-V4-z² Ji 26. Let...

    QUESTION 26 AND 31 PLEASE SHOW STEPS THANK YOU SO MUCH J-2 J-V4-z² Ji 26. Let be the region below the paraboloid x2 + y? = z – 2 %3D that lies above the part of the plane * + Y + z = I in the first octant. Express f (x, y, z) dV as an iterated integral (for an arbitrary function J). 27. Assume J (ª, Y, 2) can be expressed as a product, f (x, y, z)...

  • Please show how to works with type. Thank you. Gene Frequencies We will let p designate...

    Please show how to works with type. Thank you. Gene Frequencies We will let p designate the frequency (=proportion) of gene B in a population, and we will let q designate the frequency of gene b. Since these are the only two alleles for that characteristic, then p + q = 1. (When all possible outcome frequencies are added, the sum of their frequencies must equal one (certainty)]. Now let us assume that completely random mating and offspring survival occurs...

  • please show all the work. if you use excel please show the screenshots. Thank you !...

    please show all the work. if you use excel please show the screenshots. Thank you ! Question 5 (25pts) Suppose the athletic director at a university would like to develop a regression model to predict the point differential for games played by the men's basketball team. A point differential is the difference between the final points scored by two competing teams. A positive differential is a win, and a negative differential is a loss. For a random sample of games,...

  • Please answer the 3 part question below. Thank you! Question 1 Recorded weight losses in lbs...

    Please answer the 3 part question below. Thank you! Question 1 Recorded weight losses in lbs for 21 participants of three different diet programs were: a) Run Hartley’s F-max test. Does evidence suggest the variances could be different at the α = 5% level of significance? Explain, and show any work you can. b) The other ANOVA conditions (normality, independent random samples) were reasonably satisfied, so I ran an analysis of variance, and here is the incomplete table of output....

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