Question

Write the following Boolean expression in product of sums form: (A + BC' + CD)(B +...

Write the following Boolean expression in product of sums form: (A + BC' + CD)(B + EF)

Homework Answers

Answer #1

important law and properties:

2.) DeMorgon's law

step-1) convert the and and or to or and and.

step-2) compliment the each term.

step-1:)

step-2)

Hence,

3.) 1 + A = 1

4.) 1.A = A

Now,Let the given boolean expression be

F = G.H

Applying DeMorgon's law

convert it to Sum of products

To make simplify

Similarly for H

Now, sustitute in F

F = G.H

Hence,the given boolean expression in Product of sums form is

THANK YOU

Know the answer?
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
Similar Questions
Simplify the following expression written in sum-of-products (SOP) form and present it in product-of-sums (POS) form:...
Simplify the following expression written in sum-of-products (SOP) form and present it in product-of-sums (POS) form: ¯AB C D + ¯AB C ¯ D + A ¯ B ¯ C ¯ D + A ¯ B ¯C D
Logic Design: Find the Product of Sums a. AB + C’D’ b. A + BC +...
Logic Design: Find the Product of Sums a. AB + C’D’ b. A + BC + DE c. A’B’C’ + A’D’ + ABC’ + AD
Consider the following Boolean expression (a + b) . (a + c). Provide a simpler expression...
Consider the following Boolean expression (a + b) . (a + c). Provide a simpler expression (fewer gates) that is equivalent. Show that your expression is equivalent by building truth tables for both expressions in the same way as we've done before. 1a. Imagine that you have designed a circuit that uses N expressions of the form (a + b) . (a + c). We replace each of these with your solution to question 1. How many fewer transistors will...
The grammar below generates Boolean expressions in prefix notation: B → O B B | not...
The grammar below generates Boolean expressions in prefix notation: B → O B B | not B | id O → and | or a) Write an attribute grammar to translate Boolean expressions into fully parenthesized infix form. For example, expression and and a or b c d turns into the following fully parenthesized expression ((a and (b or c)) and d). b) Now write an attribute grammar to translate the Boolean expressions into parenthesized expressions in infix form without...
i have the following problem boolean simplfication A'BC' + BC + AB'C' +AB'C I can do...
i have the following problem boolean simplfication A'BC' + BC + AB'C' +AB'C I can do it two different ways factor AB' out of the 3rd and 4rth terms giving me A'B'C' +BC + AB'(C'+C) then using the boolean rules that says C'+ C =1 and the rule that says anything anded with 1 is it's self i have A'B'C' + BC + AB' comuntive law AB' + A'B'C + BC now factoring B' out of the first two terms...
simplify the following boolean expresions by use of k map a'b' + bc + a'bc' p'qr...
simplify the following boolean expresions by use of k map a'b' + bc + a'bc' p'qr + pq'r' + pq'r xy' + x'y
Eliminate the exclusive OR and simplify the following Boolean expression to get a minimum POS. Z=...
Eliminate the exclusive OR and simplify the following Boolean expression to get a minimum POS. Z= A' · (B⊕C')+AC+B'C
Using Boolean algebra, simplify the following Boolean functions. a. ABC + A’BC + (AB’C)’ b. AB’...
Using Boolean algebra, simplify the following Boolean functions. a. ABC + A’BC + (AB’C)’ b. AB’ + A’B + AB + A’B’ c. A’(A+B) + (B+A)(A+B’) Create a truth table, Karnaugh map and show the simplified the expression. a. A’B + B
boolean x = true; boolean y = false; boolean z = true; Given the following declarations,...
boolean x = true; boolean y = false; boolean z = true; Given the following declarations, evaluate each boolean expression labelled a-f below as either true or false: (Section 3.7) a. y && z b. y || z c. !y d. (x && y) || (x && z) e. !(x && y) f. (!y) && (x && z)
f(a,b,c) = Xm(0,1,5) Use boolean algebra to simplify both of the above expressions to determine the...
f(a,b,c) = Xm(0,1,5) Use boolean algebra to simplify both of the above expressions to determine the minimal sum-of-products and the minimal product-of-sums representation for the above function.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT