Let’s say your ULAB student ID is 182014015. If the digits in the student ID are considered as minterm numbers, then a function F can be expressed using minterm, F = ∑(0, 1, 2, 4,5,8). Identify the digits in your student ID and express the function using minterm numbers. a) Simplify the function and express into Sum-of-Product (SoP) form considering F and don’t-care condition d: F = ∑(?????? ?? ???? ??????? ??) d = ∑(11, 14, 15) b) Draw the circuit for the simplified function.

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LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.