Question 1

Name the property demonstrated in each real variable expression.
-Sketch the Venn diagram that is equivalent to the Boolean expression.

Accepted Answer

The answer of Name the property demonstrated in each real...

Question 2

Use real variable algebra to simplify the following expressions.
-$$( 4 - x ) ( 1 + x )$$

Accepted Answer

$$4 + 3 x - x ^ { 2 }$$

Question 3

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

Accepted Answer

Associative property of addition

Question 4

Name the property demonstrated in each real variable expression.
-$$x y = y x$$

Accepted Answer

The answer of Name the property demonstrated in each real...

Question 5

Give the Boolean expression associated with the following gated
circuit.

Accepted Answer

The answer of Give the Boolean expression associated with the...

Question 6

Simplify each of the following Boolean expressions.
-$$\left( y ^ { \prime } \right) ^ { \prime } \wedge y$$

Accepted Answer

The answer of Simplify each of the following Boolean expressions.
-\[\left(...

Question 7

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

Accepted Answer

The answer of \[A B ^ { \prime } \vee...

Question 8

Name the property demonstrated in each real variable expression.
-$$y ^ { \prime } \wedge y = 0$$

Accepted Answer

The answer of Name the property demonstrated in each real...

Question 9

Write each of the Boolean functions as a Boolean expression in dnf.
-$\begin{array}{|c|c|c|c|}
\hline \boldsymbol{A} & \boldsymbol{B} & \boldsymbol{C} & \boldsymbol{f}(\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}) \
\hline 1 & 1 & 1 & 0 \
\hline 1 & 1 & 0 & 0 \
\hline 1 & 0 & 1 & 1 \
\hline 1 & 0 & 0 & 1 \
\hline 0 & 1 & 1 & 0 \
\hline 0 & 1 & 0 & 0 \
\hline 0 & 0 & 1 & 1 \
\hline 0 & 0 & 0 & 0 \
\hline
\end{array}$

Accepted Answer

A)    A′B′C∨AB′C′∨A′BCA ^ { \prime } B ^ { \prime } C \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B CA′B′C∨AB′C′∨A′BC 
B)    ABC′∨AB′C′∨A′B′CA B C ^ { \prime } \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } CABC′∨AB′C′∨A′B′C 
C)    AB′C∨AB′C′∨A′B′CA B ^ { \prime } C \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } CAB′C∨AB′C′∨A′B′C 
D)    A′B′C∨ABC′∨A′B′C′A ^ { \prime } B ^ { \prime } C \vee A B C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } C ^ { \prime }A′B′C∨ABC′∨A′B′C′ 
E)   None of these

Question 10

Write the Boolean expression for the following switching
circuit, then sketch the equivalent truth table.

Accepted Answer

The answer of Write the Boolean expression for the following...

Question 11

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

Accepted Answer

The answer of Use Boolean algebra to simplify the following...

Question 12

Simplify each of the following Boolean expressions.
-$$y \vee 1$$

Accepted Answer

The answer of Simplify each of the following Boolean expressions.
-\[y...

Question 13

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

Accepted Answer

A)    A′B∨AC′A ^ { \prime } B \vee A C ^ { \prime }A′B∨AC′ 
B)    AB′∧A′CA B ^ { \prime } \wedge A ^ { \prime } CAB′∧A′C 
C)    AB′∨A′C′A B ^ { \prime } \vee A ^ { \prime } C ^ { \prime }AB′∨A′C′ 
D)    A′B∧A′C′A ^ { \prime } B \wedge A ^ { \prime } C ^ { \prime }A′B∧A′C′ 
E)   None of these

Question 14

$$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { A } & \boldsymbol { B } & \boldsymbol { C } & \boldsymbol { f } ( \boldsymbol { A } , \boldsymbol { B } , \boldsymbol { C } ) \
\hline 1 & 1 & 1 & 0 \
\hline 1 & 1 & 0 & 1 \
\hline 1 & 0 & 1 & 0 \
\hline 1 & 0 & 0 & 0 \
\hline 0 & 1 & 1 & 1 \
\hline 0 & 1 & 0 & 1 \
\hline 0 & 0 & 1 & 0 \
\hline 0 & 0 & 0 & 1 \
\hline
\end{array}$$

Accepted Answer

The answer of \[\begin{array} { | c | c |...

Question 15

Simplify each of the following Boolean expressions.
-$$x \wedge 0$$

Accepted Answer

The answer of Simplify each of the following Boolean expressions.
-\[x...

Question 16

Simplify each of the following Boolean expressions.
-$$\left( x ^ { \prime } \right) ^ { \prime } \vee x$$

Accepted Answer

The answer of Simplify each of the following Boolean expressions.
-\[\left(...

Question 17

Use the following truth table to complete the exercises. 
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { A } & \boldsymbol { B } & \boldsymbol { C } & \boldsymbol { f } ( \boldsymbol { A } , \boldsymbol { B } , \boldsymbol { C } ) \
\hline 1 & 1 & 1 & 1 \
\hline 1 & 1 & 0 & 0 \
\hline 1 & 0 & 1 & 0 \
\hline 1 & 0 & 0 & 0 \
\hline 0 & 1 & 1 & 1 \
\hline 0 & 1 & 0 & 1 \
\hline 0 & 0 & 1 & 0 \
\hline 0 & 0 & 0 & 0 \
\hline
\end{array}$
-Sketch the switching circuit that is equivalent to the Boolean expression.

Accepted Answer

The answer of Use the following truth table to complete...

Question 18

Name the property demonstrated in each Boolean variable expression.
-$$x \vee x ^ { \prime } = 1$$

Accepted Answer

The answer of Name the property demonstrated in each Boolean...

Question 19

Simplify each of the following Boolean expressions.
-$0 \vee z$

Accepted Answer

A)   1
B)   0
C)    zzz 
D)    z′z ^ { \prime }z′ 
E)   None of these

Question 20

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

Accepted Answer

A)    AB∨B′A B \vee B ^ { \prime }AB∨B′ 
B)    AB∨A′A B \vee A ^ { \prime }AB∨A′ 
C)    A∧A′B′A \wedge A ^ { \prime } B ^ { \prime }A∧A′B′ 
D)    B∧AB′B \wedge A B ^ { \prime }B∧AB′ 
E)   None of these

Exam 5: Boolean Circuits

Name the property demonstrated in each real variable expression. -Sketch the Venn diagram that is equivalent to the Boolean expression.

Use real variable algebra to simplify the following expressions. - $( 4 - x ) ( 1 + x )$

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

Name the property demonstrated in each real variable expression. - $x y = y x$

Give the Boolean expression associated with the following gated circuit.

Simplify each of the following Boolean expressions. - $\left( y ^ { \prime } \right) ^ { \prime } \wedge y$

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

Name the property demonstrated in each real variable expression. - $y ^ { \prime } \wedge y = 0$

Write the Boolean expression for the following switching circuit, then sketch the equivalent truth table.

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

Simplify each of the following Boolean expressions. - $y \vee 1$

Simplify each of the following Boolean expressions. - $x \wedge 0$

Simplify each of the following Boolean expressions. - $\left( x ^ { \prime } \right) ^ { \prime } \vee x$

Name the property demonstrated in each Boolean variable expression. - $x \vee x ^ { \prime } = 1$

Simplify each of the following Boolean expressions. - $0 \vee z$

Exam 5: Boolean Circuits

Name the property demonstrated in each real variable expression. -Sketch the Venn diagram that is equivalent to the Boolean expression.

Use real variable algebra to simplify the following expressions. - (4−x)(1+x)( 4 - x ) ( 1 + x )(4−x)(1+x)

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

Name the property demonstrated in each real variable expression. - xy=yxx y = y xxy=yx

Give the Boolean expression associated with the following gated circuit.

Simplify each of the following Boolean expressions. - (y′)′∧y\left( y ^ { \prime } \right) ^ { \prime } \wedge y(y′)′∧y

AB′∨A′CA B ^ { \prime } \vee A ^ { \prime } CAB′∨A′C

Name the property demonstrated in each real variable expression. - y′∧y=0y ^ { \prime } \wedge y = 0y′∧y=0

Write the Boolean expression for the following switching circuit, then sketch the equivalent truth table.

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

Simplify each of the following Boolean expressions. - y∨1y \vee 1y∨1

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

Simplify each of the following Boolean expressions. - x∧0x \wedge 0x∧0

Simplify each of the following Boolean expressions. - (x′)′∨x\left( x ^ { \prime } \right) ^ { \prime } \vee x(x′)′∨x

Name the property demonstrated in each Boolean variable expression. - x∨x′=1x \vee x ^ { \prime } = 1x∨x′=1

Simplify each of the following Boolean expressions. - 0∨z0 \vee z0∨z

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

Use real variable algebra to simplify the following expressions. - $( 4 - x ) ( 1 + x )$

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

Name the property demonstrated in each real variable expression. - $x y = y x$

Simplify each of the following Boolean expressions. - $\left( y ^ { \prime } \right) ^ { \prime } \wedge y$

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

Name the property demonstrated in each real variable expression. - $y ^ { \prime } \wedge y = 0$

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

Simplify each of the following Boolean expressions. - $y \vee 1$

Simplify each of the following Boolean expressions. - $x \wedge 0$

Simplify each of the following Boolean expressions. - $\left( x ^ { \prime } \right) ^ { \prime } \vee x$

Name the property demonstrated in each Boolean variable expression. - $x \vee x ^ { \prime } = 1$

Simplify each of the following Boolean expressions. - $0 \vee z$