and B[1,1] then store the result in AL. 12 4 7 12 1 14 A = 3 8 B = 17 85 93 22 13 10 12 16

Q: 2. Find the sum and product of A and B. 3 5 9 2 4 0 A = 6 15 14 B = 8 8 -1 1 4 -5 -3 9 -5

A: 2.  Matrix sum:-

Q: Q.4 Simplify the given expression using K Map in POS form. (A+B*+D)(A'+B+C')(A'+B+D')(B+C+D')

A: Here I have first of all created a K-map of 4 variables. Then I have inserted 0 to the position that…

Q: Find x and y. 13 4 9 4 13 4 2x + 1 4 -2 18 16 12 -2 18 16 3x 4 0 3 3y- 2 (x, y) =

A: Given: To find the values of x and y.

Q: A = {x € Z: x is a perfect square } B = { 3, 5, 6 } BNA = {Ex: 3, 6 }

A: Perfect square Number :- Perfect square number is square of a number  like 1 ,4 ,9,25   1= 1*1 4=2*2…

Q: 26) Compute the convolution between the following sequences and determine the length of the…

A:

Q: The coefficient of x' in (3 – 2x)15 is:

A: Binomial theorem : According to the binomial theorem, it is possible to expand any non-negative…

Q: Simplify the following expressions to sum of products and products of sums using K-map: ab + a’c’ +…

A: Given Expression  : ab + a’c’ + b’c’ + bc’ wyz + xyz’ + wxy’

Q: [1 2 31 3 9. Then the adjoint of A is given by: li 5 7] Let A = 1

A: Given Matrix: A=123139157 We need to find Adj(A)

Q: What is the coefficient of b° in the expansion of (6 -2b)17

A: The answer is given below:

Q: 3. If g(x) = (2– 5x)*, find g'(-1)

A:

Q: A = {x € Z: x is odd } В 3 (2,5, 9) С 3{1,5, 7} (СПВ)-А - {Ex: 3, 6 }

A:

Q: The domain of ƒ(x) = 3-x is 1-x2 %3D 1. R 2. R/{1,-1} 3. R/{3} 4. (0,0)

A: Given: Find the domain of  f(x) = 3-x1-x2

Q: 3variable k-\ap Use Product Of Sums ВС 00 01 11 10 BC 00 01 ВС 00 01 11 10 11 10 A A A 001 1 1 1 1 1…

A: K-map is used to evaluate the boolean expression by reducing the number of variables and complexity…

Q: Given that A=6-j1 and B=2+j3, find A/B

A:

Q: Given that A=6-j1 and B=2+j3, find A+B

A: Given that A=6-j1 and B=2+j3, find A+B

Q: 1. Simplify the following expression to products-of-sums: xyz + yz + xy

A:

Q: Show that C = {000, 111} is a linear code and C = {000, 001, 101} is not a linear code?

A: As per the policy and  guidelines of Bartleby we are supposed to answer only first question or the…

Q: Q4/ Given the Boolean function F(A, B, C, D) =(0, 1, 6, 7, 10, 11) together with the don't care…

A: F(A,B,C,D) = M(0,1,6,7,10,11) + D(2,3,4,5,8,9,14,15) in SOP minimal form The k-map of the given…

Q: Prove the following are tautologies using Quine’s method c) (A ∨ B) ∧ (A → C) ∧ (B → D) → (C ∨ D)

A: Prove the following are tautologies using Quine’s methodc) (A ∨ B) ∧ (A → C) ∧ (B → D) → (C ∨ D)

Q: Simplify the following in product of .3 :sums (F(A,B,C,D) = T(4,6,7,8,10,15 %3D (A+B'+D) +…

A: Method: Use the K-map for finding Product of sums.

Q: -3 4 6] -3 2 5; B 1 6] 2 7 8. -1 0. Let A = 3 4 1 -3 1 %3D 4 l11 1 -3] 4 3 Find 2A – BC |

A: GIVEN: A = [1 4 6;-3 2 5;4 1 6]B = [2 7 8;3 4 1;11 1 -3]C = [-1 0 -3;5 -3 1;4 3 2]   Find: 2A - BC

Q: Find the Det. and minor for the following: 1 3 2. B= 21 12 8. 5 9 7 10 -6 0

A: I used python to calculate det and minor for the given matrix. For the minor matrix we took the row…

Q: The Matrix B from 3 x 2 at b;; = 1 is -1 -1 1. -1 1 2 3 4 O O O O 고201-2 012, 4. 2. 3. 2. 1/3 01100m

A: An array or table of digits, signs, or expressions that are ordered in the form of rows and columns…

Q: Q4/ Given the Boolean function F(A, B, C, D) =(0, 1, 6, 7, 1O, 11) together with the don't care…

A: Kmap

Q: Construct FA from the given RG. -1:7 A JaAl bele B »bB| E

A: The Answer is

Q: Exercise 1: Z1 ', and express it in a + bi Z2 Given that Z1 = 1 – 2i, z2 =-3+4i. Find form.

A: Given details are:- z1 = 1-2i z2 = -3+4i   To find:- z1 / z2

Q: 03. Simplify the following ex pressions to sum of products and products of sums using K-map: (a) ab…

A: Both questions are given in the sum of product form, and in this form, we consider a'=0 and a=1. a)…

Q: IM: 20 b) Show that the following equality holds for all n 2 1 3n+1-3 3i = %3D i=1

A: We can prove that this equality holds using induction Steps: First check whether the equality hold…

Q: Find L{(1-t) (3+2 sin 5t)}.

A: a) 32-3s2+10s2+25-20s(s2+25)2

Q: Consider the following sequence: 1, 1, 2, 4, 7, 11 16, 22. Find the closed-form formula of the…

A: GIVEN:

Q: Determine whether the following binary operations are associative on Z 1. a * b = la + b|. 4. a * b…

A: It is defined as an operation of arity two that involves several sets is sometimes also called a…

Q: Find the base Let m=(313), and n=(322)4. 4 expansion of m+n. A (635)4 B (32312)4 C (21323) 4

A: This question can be solved by as first converting both the number in decimal system and then…

Q: 36. Construct a truth table for each of these compound propc sitions. a) (p V q) v r c) (p ^q) Vr e)…

A: Constructed truth table of the given compound propositions

Q: xcos(x) B/Construct the function y(x)= sin for values of x from one to three in steps of 0.02? %3D…

A: B. Code: %Bx=1:0.02:3y=sin((x.*cos(x))./(x.^2+3*x+1)) Output:

Q: Generate matrices A and B given below and check (A*B)' using Octave program. 20 7 2 -1 16 1 14 4 3…

A: Defining matrix, A:

Q: Q4/ Solve the following functions: 1) 2|3x + 9|< 36 x2-2 2) lim- х-2 х-3х+2

A: This Question comes from discrete mathematics which belongs to the paper of computer science. Let's…

Q: Q3. Simplify the following expressions to sum of products and products of sums using K-map: (a) ab +…

A: Answer:-(a)

Q: 4. Show that L = {rxRr :r€ (a + b)*} is not regular. (rR is the reverse of I, e.g., aabR = baa) %3D

A: Given The answer is given below.

Q: 3x2 – 2x + 4 is: - The derivative of x² + 5

A: Requirements :- Approach :- Use polyder() to find derivative of f(x)/g(x) function and print the…

Q: I'm not sure how to use pumping lemma on this or if I should be using a different method

A: If a language is regular, then it must satisfy pumping lemma.Pumping lemma: If L is any regular…

Q: H.W Find DFT of the following sequence [1-1-1-1111-1], using: a) Reduced DIT FFT b) Reduced DIF FFT

A: DFT(Discrete Fourier Transform) DFT is a mathematical operation which is widely applied in DSP or…

Q: lek A=B= {,2,3,47 and R={Labd!a=b}| wrike Mr and showthat its equivalent of 1. not- 2 show by using…

A:

Q: Show that if f(x) = then fa - fb = fG %3D |

A: Yes it is proved the below equations are equal

Q: 2. Simplify the following in Sum of Product F(A,B,C)= E(0,2,4,5,6,7)

A: Answer: Given F(A,B,C) = ∑(0,2,4,5,6,7)

Q: Compute the convolution between the following sequences and determine the length of the resultant…

A:

Q: Q1: Simplify using Karnaugh map, based SOP: F(A,B,C,D)=E{0,2,8,10), Don't care function…

A: The question is on showing the simplification using karnaugh map.

Q: Prove the Complement of Difference Lemma: ( A − B )' = A' ∪ B

A: Complement of a Set: The complement of a set, denoted A', is the set of all elements in the given…

Q: n of respo

A: The chain of responsibility pattern is used in software design to encourage loose coupling, where a…

Q: Q3. Use a Karnaugh map to find the minimum POS form for the following expressions: (a) A(B + Č)(Ā+…

A: With k-map the minimum POS of given expression

Q: Simplify the following expression using K-Maps  (1) sum of the products and (2) products of sums:…

A: Solution: D¯+AB+CB¯