Given the counter below, write the corresponding FF equations for JA, KA, JB, KB, JC, and Kc. Please write the equations in the appropriate form, i.e. JA=_____, KA=________, JB=_ etc. with one equation per line. BD J 0 CLK Q ΤΟ ā ••• A (MSB) 0 이 B Q C (LSB)
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- you can use the tic mark, or apostrophe, instead of the overbar for complement
2. you should use TT instead of P for Maxterm equations, if relevant
3. you should use SS instead of S for minterm equations, if relevant
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- Use C programming languagePlease provide clear explanation of your working and show the output(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ftLet A = {b, h, s}. Draw A(r) for each regular expression r below. (iii) r3 = (sh)*
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- 1. Reduce the following function: ((A O B)•(A•C) )•( (A•B) +(A © B) )A matrix of characters schematically represents a swamp. The swamp is composed of muddy areas, represented with the character, and rocky areas, represented with the *' character. The matrix size can be defined using #define, however it should be no greater than 25 rows and 80 columns. Example of swamp: Write a C program that searches a path in the swamp, from the left to the right, without jumps, only including consecutive rocky areas. Suppose that each rocky area can have at most one other rocky area on its right (there are no branches), i.e., either on the same row, or in the previous row, or in the following one. The program shall print the row sequence of the path (the columns are implicit – there shall be a rocky area for each column), or report that no path exists. For example: 1 3 4 Path: 23 43 43 2 3 4 3 4 Hint: in a preliminary version, use a predefined matrix of strings and test the program; then modify the program and read the swamp from the keyboard input (in the future it…You are asked to write a simple C program that will accept an integer value in the range of 5-95 and as a multiple of 5 representing the number of cents to give to a customer in their change. The program should calculate how many coins of each denomination and display this to the user. Valid coin values are 50, 20, 10 and 5. Your solution (program and algorithm) should be modular in nature. This requires the submission of a high-level algorithm and suitable decompositions of each step. Note that for this problem the principle of code reuse is particularly important and a significant number of marks are allocated to this. You should attempt to design your solution such that it consists of a relatively small number of functions that are as general in design as possible and you should have one function in particular that can be reused (called repeatedly) in order to solve the majority of the problem. If you find that you have developed a large number of functions which each performs a…
- need urgent fast1. Give the unifyiing substitition for (x,y,z are variables): f(a) f(b) 2. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a),f(y)) 3. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a0,f(b))Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where x is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 (a) Use R to answer the following. Construct a scatterplot such that x is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? (b) Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with…