(a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6) (b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10)
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6. Simplify the following functions where D is a don’t care function:
(a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6)
(b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10)
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- A = 3 B = 6 C = 9 D= 7 mod10(X) is a function that returns the modulus of X after dividing it to 10. abs(X) is a function that returns the absolute value of X. Examples: mod10(6) = 6, mod10(16)=6, mod10(0) = 0, mod10(15)=5, mod10(41)+12 = 13 abs(4-8) = 4, abs(8-4)=4, abs(2-9) = 7, abs(8-1) = 7, abs(4-4)=0, abs(2-9)+8 = 15 Calculate the following: K1 = mod10(A+B) + 1= ……. K2 = abs(C-D) + 3 = ……. K3 = abs(D-2) + 1 = ……. K4 = mod10(A+B+C+D) + 1 = ……. K1 = mod((A+B), 10) + 1; K2 = abs(C-D) + 3; K3 = abs((D-2)) + 1; K4 = mod((A+B+C+D),10)+1;Suppose we have g(n) = 2n and h(n) =n3 Below are a number of statements regarding how the functions grow depending on n and in relation to each other. Which of the above statements is true? A,B TRUE C,E TRUE A,D TRUE C TRUEConsider the following function. What is the purpose of the function f? Please do explain and describe in details all possible answers for this function given below.int f(int n) {if ((a >= b) && (c < b)) return b; else if (a >= b) return f(a, c, b); else return f(b, a, c);} To find the maximum number between a, b, and c. To find the middle number between a, b, and c. To find the minimum number between a, b, and c. None of the other statements.
- Consider the following function. What is the purpose of the function f? Please do explain and describe in details all possible answers for this function given below.int f(int n) {if ((a >= b) && (c < b)) return b; else if (a >= b) return f(a, c, b); else return f(b, a, c);} To find the maximum number between a, b, and c. To find the middle number between a, b, and c. To find the minimum number between a, b, and c. None of the other statements. Suppose the letters a,b,c,d,e,f have probabilities of 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. Which of the following is the Huffman code for the letter a,b,c,d,e,f? Please show how is the Huffman tree, so that you can determine one of the options below. 0, 10, 110, 1110, 11110, 11111 11, 10, 01, 001, 0001, 0000 11, 10, 011, 010, 001, 000 110, 100, 010, 000, 001, 111 An adjacency matrix of a graph is given below:First, draw the graph defined by that adjacency matrix, and label the vertices of the graph with 1, 2,…Multiple Choice Question Consider the following function. What is the purpose of the function f? Please do explain and describe in details all possible answers for this function given below. int f(int n) {if ((a >= b) && (c < b)) return b;else if (a >= b) return f(a, c, b);else return f(b, a, c);} a. To find the maximum number between a, b, and c.b. To find the middle number between a, b, and c.c. To find the minimum number between a, b, and c.d. None of the other statements.Rewrite the following function definitions using lambda notation: f(x) = x + 1 f(x) = x
- Q. Taylor Series expansion of sine for x is computed as follows: sin x=x - x^3/3! + x^5/5! - x^7/7!+... Let the value of x be 30, hence radian value for 30 degree is 0.52359 sin(0.52359) = 0.52359 - 0.52359^3/3! + 0.52359^5/5! - 0.52359^7/7!+ ... (a)Write a function in c++ that takes value of x in degrees and returns the value of x in radians. (b)Write a function in c++ that calculates and returns the factorial of a number.e.g. 3!=6 (c)Write a function in c++ that calculates and returns power of a number. e.g. 23=8. (d)Use the above three functions to find the taylor expansion of sine for in degrees as given above.(Calculate first 3 terms)The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD, write the missing base case condition and action. This function will compute the greatest common divisor of x and y. You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows:GCD(x, 0) = x and GCD(x, y) = GCD(y, x % y). Examples: GCD(6, 4) -> 2 public int GCD(int x, int y) { if <<Missing base case condition>> { <<Missing base case action>> } else { return GCD(y, x % y); }}Transcribed Image Text About initial programming in python: Consider the series: 8. 1)" 1 = 1- 3 1 1 1 2n | 1 n=0 whose sum converges ton/4 That is: П lim s, = a) Write a function that, given n, calculates the sum of the series up to term n. b) Write a function that calculates the sum of the series with an error of less than O.01, that is, calculate the sum of the series series such that |Sn-N/4| < O. 01. Your function must also return the number of terms necessary to reach this error, that is, your function will return a tuple with the two calculated values. Important: It is mandatory to use the function defined in the previous item. Hint: math.fabs(number) returns the absolute value (module) of a number.
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