Karnaugh maps are also used to obtain simplified Product of Sums (POS) expressions. Process each of the expressions below, using Karnaugh maps. Each expression uses either canonical minterm (SOP) or canonical maxterm (POS) notation that may be used to fill in the K-map. H(X,Y,Z) =[]M(0,2,6) L(A,B,C,D) = Σ m(4,6,7,15)

Simplify the following k-map and compare it to boolean simplification. Answer both item.

Use the pumping lemma to show that the following set is NOT regular: {ww | w => {a,b}*}

In this problem, let REF(x.i) → DEF(x.k) denote that the linkerwill associate an arbitrary reference to symbol x in module ito the definition of x in module k . For each example thatfollows, use this notation to indicate how the linker wouldresolve references to the multiply-defined symbol in eachmodule. If there is a link-time error (rule 1), write "ERROR". If thelinker arbitrarily chooses one of the definitions (rule 3), write"UNKNOWN".A. /* Module 1 */                      /* Module 2 */int main()                                     int main;{                                                     int p2()}                                                       {} (a) REF(main.1) → DEF(_____._____)(b) REF(main.2) → DEF(_____._____) B. /* Module 1 */ /* Module 2 */void main() int main = 1;{ int p2()} {}(a) REF(main.1) → DEF(_____._____)(b) REF(main.2) → DEF(_____._____)C. /* Module 1 */ /* Module 2 */intx; doublex=1.0;void main() int p2(){ {} }(a) REF(x.1) → DEF(_____._____)(b) REF(x.2)…

Compute the gradient with respect to all parameters of f(w0 + w1a1 + w2a2) when w0 = 3, w1 = −2, a1 = 2, w2 = −1, a2 = 4, and β = 0.25 using backpropagation

A Boolean function simplified by using k-map has in general more terms than the product of maxterms standard form ? True False

Which of following gives the correct canonical product of sums for X      A.      X = A' + B'   B.     X = A + B   C.      X = (A+B)(A+B')(A'+B)(A'+B')   D.    X  = (A'+B')(A'+B)(A+B')(A+B)   Simplify Boolean function using K map, variable x, y, z are as marked as in these order. d 0 0 d d 0 1 0   Question 55 options:   xyz   x+y+z   xy + yz   None of  the above

Please written by computer source Given two strings x1…xn, y1…ym find the length of their longest common subsequence, that is, the largest k for which there exist indices i1<…<ik and j1<=<jk such that xi1…xik…=yj1=yjk. Show how to do this in time O(nm) and find its space complexity.

Modify the Chebyshev center coding with julia in a simple style using vectors, matrices and for loops # Given matrix A and vector bA = [2 -1 2; -1 2 4; 1 2 -2; -1 0 0; 0 -1 0; 0 0 -1]b = [2; 16; 8; 0; 0; 0] A small sample:Let t_(l),t_(o),t_(m),t_(n),t_(t),t_(s) be starttimes of the associated tasks.Now use the graph to write thedependency constraints:Tasks o,m, and n can't start until task I is finished, and task Itakes 3 days to finish. So the constraints are:t_(l)+3<=t_(o),t_(l)+3<=t_(m),t_(l)+3<=t_(n)Task t can't start until tasks m and n are finished. Therefore:t_(m)+1<=t_(t),t_(n)+2<=t_(t),Task s can't start until tasks o and t are finished. Therefore:t_(o)+3<=t_(s),t_(t)+3<=t_(s)

A = {0, 1, 2, 3, 4}  B = {2, 3, 4, 5}Given the sets A and B, how many constants maps are there from A into B.