Create a Minsky Machine that can multiply two non-negative integers. That is given two numbers a and b(initially in two registers) the machine produces the number a*b in one of its registers
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Create a Minsky Machine that can multiply two non-negative integers. That is given two numbers a and b(initially in two registers) the machine produces the number a*b in one of its registers.
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- Mathematics is a very crucial subject in our life. It gives a power to calculate the daily things. Rajesh is the one of the brightest student in this subject so he has an integer N. His task is to break N into some number of (integer) powers of 2. TO achieve this, he can perform the following operation several times (possibly, zero): Choose an integer X which he already has, and break X into 2 integer parts (Y and Z) such that X = Y + Z. Find the minimum number of operations required by Rajesh to accomplish his task using Python Language. Input 1 3 Output 1Given an integer say 45, to find the sum of 45 with 8 in binary form (see the figure below), we can use the TM designed in slides 79-90 of the notes "Turing Machines and Equivalent Models I" twice to find the result. A more effective way is to design a TM to do the addition with 8 directly. 1000 101101 A + = ? Such a TM can be designed by extending the TM designed in slides 79-90 of the notes "Turing Machines and Equivalent Models I". The TM has 14 instructions and 6 states: 0, 1, 2, 3, 4, and halt. Six instructions of such a TM have been given in the first and the second tables below. Fill out the remaining blanks in the first and the second tables and also blanks in the third table to show the remaining instructions of the TM (you have to use your own text boxes here)Learning In a 64-bit long floating point Machine number representing equivalent to decimal, consider the number is negative, c =1034 and f : the Machine number 22 24 26 28 representation is 110000001010 0101010101000000000000000000000000000000 none 110000001010 01010101000000000000000000000000000000000 0 110000001010 0101110100000000000000 0000000000000 N
- Give regular expressions for the i (a) {w : w contains at most two 1s} (b) {w : w contains at least two 1s} (c) {w: every odd position in w is 1} (d) {w : w contains an even number of 0s, orA certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 24? For each integernz 1, let s,-1 be the number of operations the algorithm executes when it is run with an input of size n. Then for each integer 2 1. Therefore, So, S3. Sz. is -Select- and s,= with constant Select- ,which is . So, for every integer n 2 0, s, = It follows that for an input of size 24, the number of operations executed by the algorithm is s -Select-v which equals Need Heln? DesdA certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k – 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 26? For each integer n 2 1, let s, -1 be the number of operations the algorithm executes when it is run with an input of size n. Then s, = and s = for each integer k 2 1. Therefore, So, S1, S21 -Select--- with constant Select--- |, which is So, for every integer n 2 0, s, It follows that for an input of size 26, the number of ... is operations executed by the algorithm is s which equals ---Select--- v
- Computer science. Correct answer will be upvoted else downvoted. Think about a n by n chessboard. Its columns are numbered from 1 to n from the top to the base. Its sections are numbered from 1 to n from the passed on to one side. A cell on a convergence of x-th line and y-th section is indicated (x,y). The fundamental corner to corner of the chessboard is cells (x,x) for all 1≤x≤n. A stage of {1,2,3,… ,n} is composed on the fundamental slanting of the chessboard. There is actually one number composed on every one of the cells. The issue is to segment the cells under and on the principle askew (there are by and large 1+2+… +n such cells) into n associated areas fulfilling the accompanying imperatives: Each district ought to be associated. That implies that we can move from any cell of a locale to some other cell of a similar area visiting just cells of a similar district and moving from a cell to a neighboring cell. The x-th area ought to contain cell on the fundamental…Overflows You have learned the concept of overflow (with say n! that overflows at 13! for integer) Now consider Fibonacci numbers this way: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. A Fibonacci sequence f(n) is of the form: f(1) = f(2) = 1, and f(n+2) = f(n) + f(n+1) for n >= 1. 6. Write a Java computer program that prints out Fibonacci numbers in a certain data type from f(1) until f(n) with n an integer you input from the keyboard. 7Implementing matrix addition is pretty simple; see the program below. However, the given addition function matrix_add_double() does not run at full speed. On the instructors computer, which has 16GB of RAM, the program below shows that the call to matrix_add_double takes 38571 ms, while another, better implementation achieves the same result in 3794.7ms, which is 10.2 times faster! Your job for this exercise is: • to explain what in the Operating System and/or CPU and/or other part of the system makes the implementation below go so slowly. • to fix the code to achieve full speed. Hint: There are two reasons why the code runs slowly. The one reason is related to how virtual addresses get translated to physical addresses, the other reasons is related to another effect in the hardware. Only the performance for the matrix_add_double function() counts for your exam results. You can leave the other parts of the code untouched, but you may also change them.…
- Q#3. Prove that if n is an integer, then ⌊n/2⌋ = n/2 if n is even and (n − 1)/2 if n is odd.Write a computer program that produces the desired output from the given input. Input: Two n × n arrays, n ≤ 10, that represent two groups and an array that represents a function from the first group to the secondOutput: Determination of whether the function is an isomorphismAn irreducible polynomial of degree 8 over GF(2) is given as f(x) =x+x+x'+x +1. This can be used to define GF(2)=GF(256) which is frequently used to design a code over the ASCII symbols consisting of 8 bits. We will use the following notation, for a, e GF(2), e ar + a,r+ ar ++ aa +a, (A) Write a computer program of addition and multiplication for all the binary 8-tuples as above and answer to the following questions: (B) Find any member a in GF(256) with the property that a, a², a²̟., a5 are all distinct, Calculate as al28, and a4. ANSWER: ) :a binary 8-tuple ):a binary 8-tuple ):a binary 8-tuple ):a binary 8-tuple a = ( a4 = ( a12 =( ass = ( (C) Calculate the multiplications a a, att . atza, and a al0 using your program in (A). Verify, for example, that a at = al+64 = ats, a*. a1zi - att12- al92 etc. (D) Define a linear function g from GF(256) to itself such that g(x) = x for any x in GF(256). Here, the linearity implies that g preserves two operations of the field. That is, for any…