Numerical methods are implementations of mathematical algorithms, but constructed with special consideration for accuracy of solutions and computational run-time. The order in which we implement floating point arithmetic for any numerical method will effect the accuracy of the final computed value. For this reason, extra thought must be placed on our basic mathematical operations. In this problem, you are asked to add-up the values in a large array called data. How should you do this to achieve the most accurate final sum? The values and size of data will vary in length, so make sure your code is written in a generic fashion to handle this aspect. The setup code gives the following variables: Name Type 1D numpy Description data array contains data to be summed Your code snippet should define the following variables: Name Type Description sum of data with minimum error data_sum floating point number sum of data with minimum error

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You need to design a circuit that implements the functions in the following table: s0 s1 function0 0 a + 10 1 a – b1 0 a + b1 1 a – 1s0 and s1 are 1-bit control inputs to select the function of the circuit. inputs a and b are 4-bitnumbers in 2s complement form. the output is also a 4-bit number in 2s complement form.you are allowed to use only one ttl 7483 4-bit adder to implement all the functions. but anynumber of other components (except the adder) can be used.hint: design a combinational logic circuit to modify the input b and the “carry input” of theadder depending on the control inputs s0 and s1.important: lab grade will depend on the working of the circuit & will be checked of by your labinstructor.1. is the output valid for the following input combinations: a. s0 = 0, s1 = 0, a = 7, b = 3? b. s0 = 0, s1 = 1, a = 7, b = 3? c. s0 = 1, s1 = 0, a = -4, b = -5? d. s0 = 1, s1 = 1, a = -8, b = 6? 2. what is the range of inputs (for both a and b) that will produce the valid output for all the functions?

Barbara is interested in pursuing a career in the science and math pathway. which qualifications will her reach that goal? a.an advanced knowledge of physics and math b.an advanced knowledge of engineering and math c. an advanced knowledge of physics and robotics an d. advanced knowledge of machinery and math