Simplify the following expressions: (a) A+ AB + ABC (b) (A+ B)C + ABC (c) ABC(BD+ CDE)+ AC (d) (A+B)(A+B) (e) AC + ABC (f) ABCD+ ABCD (g) (A+ B)(A+B+ D)D (h) AC(ABD)+ ABCD+ ABC (i) ABC + ABC+ ABC

Q: [1 1 B = 0 2 and D = A+ B and d,2 = -1,d3, = 2 then x - 1 If A = -3 y 4 Ly 1. 1. x = -1,y = -1 2. x…

A: The suffix 2 elements are row number and column number

Q: Simplify the following Boolean function and expression, using four-variable maps  b) F = x’z + w’xy’…

A: (a) F = x’z + w’xy’ + w(x’y + xy’)= x’z + w’xy’ + wx’y + wxy’ Mapping the above expression into the…

Q: Simplify the following Boolean function and expression, using four-variable maps  b) F = x’z + w’xy’…

A:

Q: 2: Simplifying the following with the help of Boolean algebra Rules: (a) A BC + AB C+ ABC + ABC +ABC…

A: Here there are multiple questions so answered only question 2 below.

Q: Given: x=2.0, y=6.0, z=3.0, what is (a)fmax(x,y) (b)fmin(x,y) (c) fabs(-x) (d)fma(x,y,z)

A: The solution to the given problem is below.

Q: Simplify the following expressions according to the commutative law. a) AB + BA + CDE + CDE - ECD b)…

A: Commutative Law: It states that when two numbers are added or multiplied, the final value remains…

Q: Simplify the following expressions according to the commutative law. a) AB + BA + CDE + CDE - ECD b)…

A: Commutative law On addition: A+B=B+A On multiplication: A.B = B.A     a)  Given expression is: A.B +…

Q: 4. Using equivalences previously proven in the lectures, prove the following logical equivalences…

A:

Q: Simplify the following expressions using Boolean algebra and generate the schematic diagrams of the…

A: Solution

Q: Simplify the following expressions according to the commutative law. a) AB + BA + CDE + CDE - ECD b)…

A: The commutative law states that AB = BA ; A+B = B+A Thus, when logic symbols are ANDed or ORed, the…

Q: 9 , 15 (a, c, f, k, n, and q) , 18

A: Identity Identity Complement Complement Idempotent Idempotent Annulment

Q: Simplify the following Boolean expressions, using four-variable K-maps:…

A: f= A'B'C'D'+B'C'D'+A'BD+BCD'

Q: Problem 4 Write down the CFG that generates each of the following languages: (2) {w|w=a'b'ck, k= i+…

A: The CFG that generates each of the given language

Q: Q: Describe the language of the given CFG                         S->SS | BS | SB | USU | ↋…

A: The given CFG is S->SS | BS | SB | USU | ↋                         B->aa | bb…

Q: Q: Describe the language of the given CFG                         S->SS | BS | SB | USU | ↋…

A: Context-free grammar is a formal grammar that generates all acceptable patterns of strings in a…

Q: Show that the argument is valid, indicating the rule of inference or logical equivalence applicable…

A:

Q: 1. Build truth tables for the following a. F(x,y,z) = xy'z + x'yz' + xyz + xyz' b. F(w,x,y,z} =…

A: As per our guidelines only 3 subparts are allowed. If there are n variables then 2n possible…

Q: 1. Use Karnaugh Maps to simplify the following Boolean Expressions c) F=ABC+ABC+ABC+ABC+ABC+ABC d)…

A: Solving the given expression using K-map.

Q: Q1) Simplify and draw the Boolean function: 1- AB + A(B + C) + B(B + C). 2- [AB(C+ BD) + A B]C 3-…

A: Given:

Q: Draw the graph based on its representation. Ca) V= {a, b, c, d)} E = {{a, b}, {a, d}, {b, c}, {b,…

A: Here in this question we have given different format to represent graph .like adjacency list.,…

Q: Simplify the following expressions to their shortest form: 3. AB+ BC +BC + ABC 4. ABC+ ABC + ABC 5.…

A:

Q: Simplify the following expressions to their shortest form: 3. AB+ BC +BC+ ABC 4. ABC+ ABC+ ABC 5.…

A:

Q: Simplify the following expressions to their shortest form: 3. AB+ BC +BC+ ABC 4. ABC+ ABC + ABC 5.…

A: Simplified the given expression

Q: 3. Based on the definitions of big-Oh and 2, derive the upper and lower bounds for the following…

A: We are given few functions and we are going to find out their big-oh and big-omega notation. I have…

Q: Reduce the proposition using laws Simplify q∨(w∧¬w) to q Select a law from below to apply to:…

A: In this we use complement and identity law . Complement a∧¬a≡F Identity a∨F≡a

Q: 1. Simplify the following Boolean expressions: (a) ABC + ABC + ABC + ABC (b) ABC + A BC + ABC +A B C

A: Solution:

Q: c. {w| w has an even number of a's and one or two b's} Ad. {w| w has an even number of a's and each…

A: C.  Consider the language  L= { w|w    has even number of a’s and one or two b’s}. The language L is…

Q: 1.) Find the equations in the computer language of the following mathematical expressions. (2by a.)…

A: Logic:-  To write complex mathematical equation, you need to maintain parenthesis.  To find cube…

Q: Convert the following PDA to an equivalent CFG, then use that CFG to derive the string ecaddbaf. b,…

A:

Q: 6. Find the language recognized by the given PDA. 6,$ 1 c,EE a) L(abcde" | k+lm+n) b)L(ab cde |…

A: - As per the guideline we are allowed to solve only one main question .  - solving the 6th question…

Q: 18. Show that p → q and ¬q → ¬p are logically equivalent. 23. Show that (p → r) ^ (q → r) and (p v…

A: 18. Yes, they are logically equivalent as shown below.

Q: 1) Simplify the following Boolean expressions to a minimum number of literals correctly: (a + b +…

A: Simplify the Following Boolean Expression: (a+b+c') (a'+b'+c) aa’b’+ac+ba’b’+bc+c’a’b’+c’c [A*A’=0…

Q: Simplify these functions using the laws of Boolean algebra. Clearly show the steps of your der State…

A: 1. A'C+A'BC'+B'C' A'(C+BC')+B'C' A'(B+C)+B'C' A'B+A'C+B'C'   HERE laws used  A+A'B=A+B 2.…

Q: Consider the five-state Finite Automaton represented by the following table. state a b Start 1 3 1 4…

A: Minimization of dfa means remove the redudant state  minimization of dfa  we divide total states…

Q: FORMAL LANGUAGES AND AUTOMATIC THEORY A Moore-type finite automaton for a language using the…

A: Summary: In this question, we need to design the Moore type finite automation machine.

Q: Simplify the following expression using K-Maps F(A,B,C,D)=BD'+B'CD+ABC+ABC'D+B'D'

A: Here I have created a 4x4 K-map, and then written all the values with respect to functions…

Q: COMPUTER SCIENCE & IT Dept Simplify the following expressions using K-map, ABC + A'B'C + A'BC + ABC'…

A: Simply the following expression: ABC + A'B'C + A'BC + ABC' + A'B'C' User K-Map method.

Q: Simplifies the following Boolean algebraic expressions.   ABC (ABC’ + AB’C + A’BC) XY (X’YZ’ +…

A: In the digital logic architecture, Boolean algebra and Boolean algebra laws can be used to classify…

Q: implify the following expression using K-Maps   F(A,B,C,D)=A′C′+A′B′+ACD′+BC′D

A: Simplified in SOP form only

Q: (c) Simplify the logical operation by using Boolean algebra: F(A,B,C) = (B + BC)(B + BC)(B + D) (d)…

A: Algebraic rules used to simplify:distribution:a(b+c) = ab+ac <-(1)Annulment:a+1 = 1…

Q: Reduce the proposition using laws. Simplify (q∨p)∧(¬p∨q) to q Select a law from below to apply to:…

A: Using all the given rule the proposition has been reduced below:

Q: Problem 2 Simplifies the following Boolean algebraic expressions. (a) ABC (ABC' + AB'C + A'BC) (b)…

A: As per our guidelines we are supposed to answer only one question in case of multiple questions.…

Q: Simplify the Boolean expressions: 1- AB + A(B + C) + B(B+ C). 2- [AB( C+ BD) + A B]C - 3- ABC + ABC…

A: Given Data :  AB' + A(B+C)' + B(B+C)' [AB'(C+BD)  + A'B']C A'BC + AB'C' + A'B'C' + AB'C + ABC To…

Q: he distributive law (x+y)(x'+y) = xx'+xy+yx'+yy = y -

A: Distributive law for inputs x, y, and z: x(y + z) = xy + xz Given expression: (x+y)(x'+y)

Q: Q5 (c) Eliminate unit productions from the CFG S→ A4|for X→Y|ab[c Y→ ba|S]XaY

A: Unit production are of type A1 -> A2 where both A1 and A2 are non terminal.  Here in the given…

Q: Write the following in disjunctive normal form using logical equivalences ( p ∨q) →(p ∧¬r).

A: A Disjunctive normal form is the way of expressing the expression as disjunction of conjunctions A…

Q: Assume that ∀x∃yP(x, y) is false and the domain of them is nonempty. Which of the following must be…

A: The correct answer is (iii)∃x∃yP(x, y)

Q: Simplify the following Boolean expression, AB(A+B+C) O AB+C OA+B+C O AC+B AB A+B

A: Some of Boolean law:- A.A= A  A.0=0 A+1= 1

Q: Q4. Construct PDAS for the following Languages: 1) an+2 bn-1 for n = 1, 2, 3..

A: Answer: 1. PDA for a^n+2b^n-1.   for n = 1, 2, 3... Substitute n instead values For n = 1 a^1+2b^1-1…

Q: Which among the following is a tautology. A) ∼p ∨ ( p ∧ ∼q) B) ( p ∧ q) ∨ (∼p ∨ ( p ∧ ∼q)) C) p ∨ (…

A: Which among the following is a tautology. A) ∼p ∨ ( p ∧ ∼q) B) ( p ∧ q) ∨ (∼p ∨ ( p ∧…