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Truth table:
A | B | A' | B' | (A'+B) | A.(A'+B) | A.B |
0 | 0 | 1 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 1 | 0 | 1 | 1 |
1 | 1 | 0 | 0 | 1 | 1 | 1 |
Step by step
Solved in 2 steps
- Question 1 : (Solve quadratic equations) The two roots of a quadratic equation ax? + bx + c = 0 can be obtained using the following formula : -b + V² – 4ac -b – Vb – 4ac and n = 2a 2a b² - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program Equation.java for solving a quadratic equation that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root. Otherwise, display "The equation has no real roots". Note that you can use Math.pow(x, 0.5) to compute the discriminant. Here are some sample runs. Enter a, b, c: 1.0 3 1 -Enter The equation has two roots -0.381966 and -2.61803 Enter a, b, c: 1 2.0 1 -Enter The equation has one root -1 Enter a, b, c: 1 2 3 -Enter The equation has no real…24 ) There are ABCDE Variables. (5 Variables) In the following cases, logic expression returns 1. A B C D E 1 1 1 1 1 1 1 1 1 1 1 1 1 *Reduce the function ( by using third order MEV method and K-map) And write the logical Expression. And Draw the Circuit.(e) f(x) = x – 2 if x > 2 and f(x) = 0 if x < 2. TURING MACHINE Construct (deterministic single tape) Turing machines to compute the following functions over integers, where the integers are represented in unary and a 1 is the separator between arguments for functional with more than one argument.
- () Wride the bonlowering in mathematica expression z= Je'ry? + loe-yt b. q EKNoted: I want to this answer in just simple C language program.THANK YOU An iron rod is graded based on the following criteria: (i) magnetite must be greater than 50 (ii) calcium carbonate content must be less than 0.7 (iii) other adulterants must be greater than 5600 The grades are as follows: Grade is A if all three conditions are met Grade is B if conditions (i) and (ii) are met Grade is C if conditions (ii) and (iii) are met Grade is D if conditions (i) and (iii) are met Grade is E if only one condition is met Grade is F if none of the conditions are met Write a program, which will require the user to give values of magnetite, calcium carbonate and other adulterants under consideration and output the grade of the iron.3) a) Given the Boolean equation X= ABC +ABC+ ABC + ABC +ĀBC with 8-cell map(K-map) answer the following questions À BC BC BC BC BC 1 A 1 = X i) What is the number of literals? ü) What is the number of min tems? i) Is the function a SOP or POS? iv) What is the number of variables in the function? v) Simplify X using the K-Map (vi) Draw the truth table for the function X = ABC + ABC + ABC. Use your truth table to draw the timing diagram for A, B, C and X +
- 5. For each of the following, find an integer a satisfying the given conditions: i. a = 8 (mod 43) and 62 < a < 104 a = -14 (mod 37) and 64 < a< 100 ii.-Convert SES variable to a factor and assign the value labels “low”, ”middle” and “high” to the 3 levels of thevariable. Then -Define the variables complic, comorb, depressi, diabetes as factors. For all these factors, a zero means “no” and a 1 means “yes”. Assign these value labels through the function factor() and check the change using str()3. [10 points.] Show that these three statements are equivalent, where a and b are real numbers: (i) a is less than b, (ii) the average of a and b is greater than a (iii) the average of a and b is less than b.
- Example 7: Rocket sleds were used to test aircraft and its effects on human subjects at high speeds. It is consisted of four rockets; each rocket creates an identical thrust T. Calculate the magnitude of force exerted by each rocket (T) for the four-rocket propulsion system shown in the Figure. The sled's initial acceleration is 49 m/s, the mass of the system is 2100 kg, and the force of friction opposing the motion is known to be 650 N. Solution: H.W Free-body diagramThe next two terms in 3,5,9,17,….. is: a) 25 and 32. b) 34 and 68. c) 21 and 30. d) 33 and 65 --4. Look up the Pythagorean theorem if you are not already familiar with it. Use the following formula to solve for c in the formula: c = √a2 + b2. Use the proper functions from the cmath header file. Be sure to output the result..