# Introduction to Digital System Design

May 14th, 2015
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1. Practice finding dual and complement functions/circuit realizations. Draw an ANDOR circuit realization of each, and write sum-of-products expressions for the dual and complement functions. (a) F(X,Y,Z) = X•(Y′+Z) + X′•Y (AND-OR circuit only) = X•Y′′ + X•Z + X′′•Y

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PH2 solnECE 270Introduction to Digital System DesignModule 2 PracticePractice Homework Solution for Module 21. Practice finding dual and complement functions/circuit realizations. Draw an ANDOR circuit realization of each, and write sum-of-products expressions for the dual and complement functions.(a) F(X,Y,Z) = X(Y+Z) + XY (AND-OR circuit only) = XY + XZ + XY(b) G(X,Y,Z) = FD(X,Y,Z)XY'1XZ4X'Y932234651F810the DUAL of function F, above, plus AND-OR circuit= (X+Y) (X+Z) (X+Y)= XY + XYZ +XYZYY'XY1XZ2341X'Z2341322341G1H(c) H(X,Y,Z) = F(X,Y,Z) the COMPLEMENT of function F plus AND-OR circuit = (X+Y) (X+Z) (X+Y)= XY + XYZ +XYZMODULE 2 PRACTICE HOMEWORK SOLUTIONX'Y'1Y'X'Z'2341YXZ'234132234Page 1ECE 270Introduction to Digital System DesignModule 2 Practice2. For the circuit shown below, derive the following formal descriptions: (a) equivalent circuit consisting of only AND and OR gates (obtained through graphical transformation of the original circuit)(b) minimum SoP expression(c) K-map1W32(d) truth tableX'1(e) ON set32(f) OFF set2YZ'W XYZF000000001000100000011100101010111110000100

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