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- Demonstrate the validity of the following identities by means of truth tables: The distributive law: x + yz = ( x + y ) ( x + z )Demonstrate the validity of the following identities by means of truth table:a. DeMorgan’s theorem for three variables: ( x + y + z)’ = x’y’z’ and (xyz)’ = x’ + y’ + z’b. The distributive law: x(y + z) = xy + xzc. The associative law and x(yz) = (xy)zDemonstrate the validity of the following identities by means of truth tables: The associative law: x + ( y + z ) = ( x + y ) + z
- Problem Determine the nature of the following propositions- (p ∧ (p → q)) → ∼q By using the Truth table, Algebra of propagation, and digital electronics.1. Determine the determinant and Solve for Value of w, x, y, z Given: w – 12x +13y – 7z = 232w + 15x + 16y + 12z = 19 4w – 10x + y + 17z = 24 3w + 2x – 3y + 2z = 14*THIS IS MATLABConstruct the Truth Table of the following 1. [( q v p)-->r] [(p -->q) ^ p]