Question 1

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 Venn diagram that is equivalent to the Boolean expression.

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

A)  $32 + 11 y - y ^ { 2 }$ 
B)  $32 + 5 y - y ^ { 2 }$ 
C)  $24 + 11 y - y ^ { 2 }$ 
D)  $24 + 5 y - y ^ { 2 }$ 
E)  None of these

Question 5

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

Accepted Answer

A)  $5 x - 14$ 
B)  $5 x + 45$ 
C)  $x - 4$ 
D)  5 x - 14 
E)  None of these

Question 6

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

Accepted Answer

A)  1 
B)  0 
C)  $y$ 
D)  $x ^ { \prime }$ 
E)  None of these

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

The answer of Write each of the Boolean functions as...

Question 9

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

Accepted Answer

A)  Associative 
B)  Commutative 
C)  Identity 
D)  Distributive 
E)  None of these

Question 10

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

Accepted Answer

The answer of Sketch the switching circuit associated with each...

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

The answer of Write each of the Boolean functions as...

Question 15

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

Accepted Answer

A)  $A B ^ { \prime } \vee A ^ { \prime } C$ 
B)  $A B ^ { \prime } \wedge B C$ 
C)  $A ^ { \prime } B ^ { \prime } \wedge A C ^ { \prime }$ 
D)  $A B \vee B ^ { \prime } C$ 
E)  None of these

Question 16

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

Accepted Answer

The answer of Sketch the switching circuit associated with each...

Question 17

Write the reduced expression for the following Karnaugh map. $\begin{array} { c | c | c | c | c } 
& A B & A B ^ { ' } & A ^ { \prime } B ^ { \prime } & A ^ { \prime } B \
\hline C D & & & & \
\hline C D ^ { \prime } & & 1 & 1 & \
\hline C ^ { \prime } D ^ { \prime } & 1 & 1 & 1 & 1 \
\hline C ^ { \prime } D & & & &
\end{array}$

Accepted Answer

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

Question 18

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

Accepted Answer

A)  Complement 
B)  Commutative 
C)  Identity 
D)  Distributive 
E)  None of these

Question 19

Write the reduced expressions for the following Karnaugh map.
-

Accepted Answer

A)  $A C ^ { \prime } \vee A ^ { \prime } D ^ { \prime }$ 
B)  $B ^ { \prime } C ^ { \prime } \vee A D ^ { \prime }$ 
C)  $B C ^ { \prime } \vee B ^ { \prime } D$ 
D)  $A C ^ { \prime } \vee B ^ { \prime } D ^ { \prime }$ 
E)  None of these

Question 20

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

Accepted Answer

A)  $A ^ { \prime } B \vee A B ^ { \prime } C$ 
B)  $A B ^ { \prime } \vee A ^ { \prime } B C ^ { \prime }$ 
C)  $C ^ { \prime } \vee A B C ^ { \prime }$ 
D)  $A C \vee A ^ { \prime } B C$ 
E)  None of these

Exam 5: Boolean Circuits

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

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

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

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

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

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

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

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

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

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

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

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

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

Exam 5: Boolean Circuits

AB∨A′A B \vee A ^ { \prime }AB∨A′

A′B∨AC′A ^ { \prime } B \vee A C ^ { \prime }A′B∨AC′

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

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

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

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

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

Sketch the switching circuit associated with each of the following Boolean expressions. - A′B′∨ABA ^ { \prime } B ^ { \prime } \vee A BA′B′∨AB

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 ) \wedge ( x \wedge y )(x∨y)∧(x∧y)

AB∨B′A B \vee B ^ { \prime }AB∨B′