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    Boolean Algebra

    Digital Logic: Boolean Algebra

    Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met: - Input A is OFF - Input B is ON or input C is ON, or both B and C are ON - Inputs D and E are both ON - One or more of inputs F, G, or H

    Hasse Diagram: Example Problem

    Please see the attached file for the fully formatted problems. Consider the following Hasse Diagram of a partial ordering relation R on a set A. 5 / 3 / 4 | |

    Reflexive, Antisymmetric and Transitive Properties

    Please see the attached file for the fully formatted problems. Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Write the definitions of the properties, reflexive, antisymmetric and transitive and the use the definitions to determine whether each property holds for this relation. (a) Is thi

    Hasse Diagram : Ordered Pairs and Boolean Matrix

    Consider the following Hasse diagram of a partial ordering relation R on a set A: (see attached for image) (a) List the ordered pairs that belong to the relation. (b) Find the (boolean) matrix of the relation.

    Application of Set Theoretic Model of Sequences

    1. Using the set-theoretic model of sequences, define the following operators, giving their syntax and their semantics: (a) overwrite: given any sequence, s, over a set X, any element, e, of X and any non-zero natural number, n, return a sequence identical to s except that the element at position n is e. For example, overwri