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- Implement the following function using? a)8x1 MUX b)4x1 MUX F=ABC'+A'BC'+A'BC+AB'CImplement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. What is the output when A=0, B=1, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. None 2. What is the output when A=0, B=1, C=0 and D=0?A. +5VB. 0VC. BD. More than one of the choicesE. NoneImplement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadratic formula: x1=−b+b2−4ac2a x2=−b−b2−4ac2a The quadratic_formula() function returns the tuple (x1, x2). Ex: When a = 1, b = -5, and c = 6, quadratic_formula() returns (3, 2). Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a float and passed to the quadratic_formula() function. Ex: If the input is: 2 -3 -77 the output is: Solutions to 2x^2 + -3x + -77 = 0 x1 = 7 x2 = -5.50 code: # TODO: Import math module def quadratic_formula(a, b, c):# TODO: Compute the quadratic formula results in variables x1 and x2return (x1, x2) def print_number(number, prefix_str):if float(int(number)) == number:print("{}{:.0f}".format(prefix_str, number))else:print("{}{:.2f}".format(prefix_str, number)) if __name__ == "__main__":input_line = input()split_line = input_line.split(" ")a =…
- Numbers can be regarded as product of its factors. For example,8 = 2 x 2 x 2; = 2 x 4.Write a function that takes an integer nand return all possible combinations of its factors.Note:You may assume that n is always positive.Factors should be greater than 1 and less than n.Examples:input: 1output:[]input: 37output:[]input: 12output:[ [2, 6], [2, 2, 3], [3, 4]]input: 32output:[ [2, 16], [2, 2, 8], [2, 2, 2, 4], [2, 2, 2, 2, 2], [2, 4, 4], [4, 8]].If you implement the function F(A,B,C,D)= Sum m (3,4,6,11,12,13,14) using a 8-1 MUX then which of the input position will be equal to D : a. I1 & I6 b. only I5 c. I2 & I6 & I7 d. Only I7 e. None of the choices f. I1 & I5Given the following definitions: U={a,b,c, d, e, f, g} A={a, c, e, g} B={a,b,c,d} find A n B
- e. State the output of the following C+ + code segment: CP int p = 0, g = 10, r = 10, s = 15; g -= 5; S=5%4 r*= GPO p+=9+r S/= 2; cout くくsくく",”くくpくく"くくqく< endl if (p + q%r>= 5) s = p + q + r; cout << p << "." << r<< " • << s < < endi; for (int i = 0; i < 3; i++) { S + +; q + =p*3; } cout << q<<“,”くく「くく”,”<< s << endi;Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable. 1. Which of the following inputs are not connected to the ground? A. I0 B. I2C. I5D. More than one of the choicesE. None2. Which of the following inputs are connected to the complement of B?A. I0B. I4C. I7D. More than one of the choicesE. None 3. Which of the following inputs are connected to +5V or Vcc?A. I0B. I4C. I6D. More than one of the choicesE. None 4. What is the output when A=1, B=0, C=0 and D=1? A. +5VB. 0VC. B'D. More than one of the choicesE. Noneimplement anyEvenBit(x) Return 1 if any even bit in x is set to 1 you are only allowed to use the following eight operators: ! ~ & ^ | + << >> “Max ops” field gives the maximum number of operators you are allowed to use to implement each function /* * anyEvenBit - return 1 if any even-numbered bit in word set to 1* Examples anyEvenBit(0xA) = 0, anyEvenBit(0xE) = 1* Legal ops: ! ~ & ^ | + << >>* Max ops: 12*/int anyEvenBit(int x) {return 2;}
- Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. Which of the following inputs are not connected to the ground?A. I2B. I5C. I6D. More than one of the choicesE. None 2. Which of the following inputs are connected to B?A. I0B. I1C. I3D. More than one of the choicesE. None 3. Which of the following inputs are connected to +5V or Vcc?A. I3B. I4C. I7D. More than one of the choicesE. None 4. What is the output when A=1, B=0, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. Noneimplement greatestBitPos function Compute a mask marking the most significant 1 bit. you are only allowed to use the following eight operators: ! ~ & ^ | + << >> “Max ops” field gives the maximum number of operators you are allowed to use to implement each function /* * greatestBitPos - return a mask that marks the position of the* most significant 1 bit. If x == 0, return 0* Example: greatestBitPos(96) = 0x40* Legal ops: ! ~ & ^ | + << >>* Max ops: 70* Rating: 4 */int greatestBitPos(int x) {return 2;}Write a function that makes the base conversion. It takes two integers n and b as input (n >= 0 andb > 1, both in base 10) and expresses n in base b. For example, the decimal expansion of 345 inbase 10 is 345 = 3 × 102 + 4 × 101 + 5 × 100.Sample input: n = 12, b =2. Sample output: 1100Explanation: (12)10 = (1100)2