Exam 5: Boolean Circuits

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Use the following truth table to complete the exercises. ( , , ) 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 -Sketch the Venn diagram that is equivalent to the Boolean expression.

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ABAA B \vee A ^ { \prime }

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ABACA ^ { \prime } B \vee A C ^ { \prime }

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Use real variable algebra to simplify the following expressions. - (8y)(3+y)( 8 - y ) ( 3 + y )

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Use real variable algebra to simplify the following expressions. - 5(x9)5 ( x - 9 )

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Use Boolean algebra to simplify the following expressions, using x = 0. - (xy)(xy)\left( x \vee y ^ { \prime } \right) \vee \left( x \wedge y ^ { \prime } \right)

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Name the property demonstrated in each Boolean variable expression. - (xy)(xz)=x(yz)( x \wedge y ) \vee ( x \wedge z ) = x \wedge ( y \vee z )

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Write each of the Boolean functions as a Boolean expression in dnf, and then sketch the switching circuit for the expression. - ( , ) 1 1 1 1 0 0 0 1 1 0 0 1

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Name the property demonstrated in each real variable expression. - 6(x+y)=6x+6y6 ( x + y ) = 6 x + 6 y

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Sketch the switching circuit associated with each of the following Boolean expressions. - ABABA ^ { \prime } B ^ { \prime } \vee A B

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Use Boolean algebra to simplify the following expressions, and then evaluate the expressions for x = 0 and y = 1. - (xy)(xy)( x \vee y ) \wedge ( x \wedge y )

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ABBA B \vee B ^ { \prime }

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Name the property demonstrated in each real variable expression. -Sketch the gated circuit that is equivalent to the reduced expression.

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Write each of the Boolean functions as a Boolean expression in dnf, and then sketch the switching circuit for the expression. - ( , , ) 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1

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Give the Boolean expressions associated with each of the following gated circuits. -Give the Boolean expressions associated with each of the following gated circuits. -

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Sketch the switching circuit associated with each of the following Boolean expressions. - ABABCA B ^ { \prime } \vee A ^ { \prime } B C ^ { \prime }

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Write the reduced expression for the following Karnaugh map. AB A B CD C 1 1 1 1 1 1 D

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Name the property demonstrated in each Boolean variable expression. - z1=zz ^ { \prime } \wedge 1 = z ^ { \prime }

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Write the reduced expressions for the following Karnaugh map. -Write the reduced expressions for the following Karnaugh map. -

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Write the Boolean expression associated with each of the following switching circuits. -Write the Boolean expression associated with each of the following switching circuits. -

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