Question 1

AB′C' ∨ A'B'C′ ′∨ A'B′C' is represented by which Venn diagram? 
A)

B)

C)

D)

E) None of these

Accepted Answer

The answer of AB′C' ∨ A'B'C′ ′∨ A'B′C' is represented...

Question 2

For the following Problems , assume the command Dcolor sets a decimal color triple and that that the code is applied to a computer monitor with a resolution of 1280 by 1024. Choose the letter that best describes the output.
-For $\mathrm { x } = 0$ to 256
Dcolor $= " 0,255,0 ^ { \prime \prime }$
Plot Pixel $( 1280$ - 5x, $1024 - 4 x )$
Clearscreen
Next $x$
A) A green pixel that travels from the top right-hand corner to the bottom left-hand corner of the screen
B) A green pixel that travels from the bottom right-hand corner to the top left-hand corner of the screen
C) A blue pixel that travels from the bottom right-hand corner to the top left-hand corner of the screen
D) A blue pixel that travels from the top right-hand corner to the bottom left-hand corner of the screen
E) None of these

Accepted Answer

The answer of For the following Problems , assume the...

Question 3

Choose the correct output for each of the following. Assume that all commands are valid.
-For $\mathrm { x } = 2$ to 10 step
$y = 2 x - 2$
Print $x , y$
Next $x$
A) $( 2,2 ) ( 4,6 ) ( 6,10 ) ( 8,14 ) ( 10,18 )$
B) $ (2,2) $
$ (4,6) $
$ (6,10) $
$ (8,14) $
$ (10,18 $

C) $ (2,2) $
$ (4,6) $
$ (6,10) $
$ (8,12) $
$ (10,18) $

D) $( 2,2 ) ( 3,4 ) ( 4,6 ) , ( 5,8 ) ( 6,10 ) ( 7,12 ) ( 8,14 ) ( 9,16 ) ( 10,18 )$

E) None of these

Accepted Answer

The answer of Choose the correct output for each of...

Question 4

Use the correct reduced Boolean expression obtaind from the previous question. 
-$x \wedge \left( x ^ { \prime } \vee y \right)$
A) $x \vee y ; 0$
B) $x \wedge y ; 1$
C) $x \wedge y ; 0$
D) $x \vee y ; 1$
E) None of these

Accepted Answer

The expression $x \wedge (x' \vee y)$ simplifies to $x \wedge y$ using the absorption law.

Question 5

Which Boolean expression is associated with the following gated circuit?

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

Accepted Answer

The answer of Which Boolean expression is associated with the...

Question 6

Choose the correct output for each of the following. Assume that all commands are valid.
-For $\mathrm { x } = 3$ to 9
Print $x$
Next $x$
A)$\begin{array}{lllllll}
3 & 4 & 5 & 6 & 7 & 8 & 9
\end{array}$

B) 
$\begin{array}{l}
1 \
2 \
3 \
4 \
5 \
6 \
7
\end{array}$

C) 
$\begin{array}{l}
3 \
4 \
5 \
6 \
7 \
8 \
9
\end{array}$

D) $1$ $2$ $3$ $4$ $5$ $6$ $7 $

E) None of these

Accepted Answer

The given pseudo-code iterates from $x = 3$ to $9$, printing each value of $x$. Therefore, the correct output is a sequence from $3$ to $9$, which matches option C.

Question 7

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024.
-For $\mathrm { x } = 1$ to 1280
Plot pixel $( x , 512 )$
ClearScreen
Next $x$
A) A pixel traveling horizontally from the middle of the right side to the middle of the left side
B) A pixel traveling horizontally from the middle of the left side to the middle of the right side
C) A pixel traveling vertically from the middle of the top to the middle of the bottom
D) A pixel traveling vertically from the middle of the bottom to the middle of the top
E) None of these

Accepted Answer

The answer of Choose the letter that best describes the...

Question 8

For the following Problems , assume the command Dcolor sets a decimal color triple and that that the code is applied to a computer monitor with a resolution of 1280 by 1024. Choose the letter that best describes the output.
-
For $\mathrm { x } = 0$ to 255
Dcolor $= " \mathrm { x } , \mathrm { x } , 255 - \mathrm { x } ^ { \prime \prime }$
Plot Pixel $( \mathrm { x } + 1,256 - \mathrm { x } )$
Next $\mathrm { x }$

A) A line that starts on the right-hand side of the screen, about three fourths of the way down, and slopes up to the top of the screen One fifth of the way across; the color of the line changes from Blue at the left to grey in the middle, and finally to yellow on The right.
B) A line that starts on the left-hand side of the screen, about one fourth of the way down, and slopes up to the top of the screen One fifth of the way across; the color of the line changes from Yellow at the left to grey in the middle, and finally to blue on The right.
C) A line that starts on the left-hand side of the screen, about three fourths of the way down, and slopes up to the middle of the screen One fifth of the way across; the color of the line changes from Blue at the left to grey in the middle, and finally to yellow on The right.
D) A line that starts on the left-hand side of the screen, about one fourth of the way down, and slopes up to the top of the screen One fifth of the way across; the color of the line changes from Blue at the left to grey in the middle, and finally to yellow on The right.
E) None of these

Accepted Answer

The line starts at (1, 256) and ends at (256, 1), indicating it moves from the bottom left to the top, fitting the description in D. The color changes from blue (x=0, RGB=0,0,255) to yellow (x=255, RGB=255,255,0) through grey (x=128, RGB=128,128,128), matching D's description.

Question 9

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024.
-For $x = 4$ to 1280 step 4
$y = 0.25 x + 512$
Plot pixel $( x , y )$
Next $x$
A) Consecutive points separated by 4 pixels
B) Upward-sloping line
C) Downward-sloping line
D) Horizontal line
E) None of these

Accepted Answer

The answer of Choose the letter that best describes the...

Question 10

Let $W =$ surfers wearing wet suits $\}$, with $| W | = 6$
$H =$ surfers with blonde hair $\}$, with $| H | = 12$
$B = \{$ surfers who ride long boards $\}$, with $| B | = 3$
Also, let $| \boldsymbol { W } \cap \boldsymbol { H } | = \mathbf { 4 } , | \boldsymbol { W } \cap \boldsymbol { B } | = \mathbf { 1 } , | \boldsymbol { H } \cap \boldsymbol { B } | = 2$, and $| \boldsymbol { W } \cup \boldsymbol { H } \cup \boldsymbol { B } | = 15$.
-How many surfers either wear a wet suit, have blonde hair, or ride a long board?
A) 1
B) 15
C) 4
D) 14
E) None of these

Accepted Answer

The problem states that $| W \cup H \cup B | = 15$, which directly answers the question.

Question 11

Complete the following truth table for $f ( A , B ) = \sim A \vee \sim B$ $\begin{array} { | c | c | c | c | c | } 
\hline \boldsymbol { A } & \boldsymbol { B } & \sim \boldsymbol { A } & \sim \boldsymbol { B } & f ( \boldsymbol { A } , \boldsymbol { B } ) \
\hline 1 & 1 & & & \
\hline 1 & 0 & & & \
\hline 0 & 1 & & & \
\hline 0 & 0 & & & \
\hline
\end{array}$

Use the truth table to evaluate f (,01).
A) 0 
B) 1 
C) Neither of these

Accepted Answer

The function $f(A, B) = \sim A \vee \sim B$ outputs 1 whenever at least one of the inputs is 0, because the negation of a 0 is 1, and the OR operation with 1 always results in 1. For $f(0, 1)$, since $A = 0$, $\sim A = 1$, making the function output 1 regardless of $B$'s value.

Question 12

Use the correct reduced Boolean expression obtaind from the previous question. 
-The reduced expression is represented by which of the following gated circuits? 
A)

B)

C)

D)

E) None of these

Accepted Answer

The answer of Use the correct reduced Boolean expression obtaind...

Question 13

Use the correct reduced Boolean expression obtaind from the previous question. 
-What is the reduced Boolean expression obtained from the Karnaugh map? 
A) $A ^ { \prime } C \vee A ^ { \prime } C ^ { \prime }$
B) $A C \vee A C ^ { \prime }$
C) $A C \vee B ^ { \prime } C ^ { \prime }$
D) $A C \vee A ^ { \prime } C ^ { \prime }$
E) None of these

Accepted Answer

The reduced Boolean expression from the Karnaugh map is $A C \vee A ^ { \prime } C ^ { \prime }$, which simplifies the logic circuit by combining common terms.

Question 14

Use the correct reduced Boolean expression obtaind from the previous question. 
-$x y ^ { \prime } \vee x ^ { \prime } y ^ { \prime }$
A) $y ^ { \prime } ; 1$
B) $y ^ { \prime } ; 0$
C) $x \vee y ^ { \prime } ; 0$
D) $x \wedge y ^ { \prime } ; 1$
E) None of these

Accepted Answer

The answer of Use the correct reduced Boolean expression obtaind...

Question 15

Simplify ABC'D′∨ AB′C'D′∨ A'BCD∨ A'BC'D. 
A) $A ^ { \prime } B C \vee A C ^ { \prime } D ^ { \prime } \vee A B ^ { \prime } C D ^ { \prime }$
B) $A ^ { \prime } B C \vee A C ^ { \prime } D$
C) $A ^ { \prime } B C D \vee A ^ { \prime } B C ^ { \prime } D \vee A C ^ { \prime } D ^ { \prime }$
D) $A ^ { \prime } B C \vee A C ^ { \prime } D ^ { \prime }$
E) None of these

Accepted Answer

Using Boolean algebra simplification techniques, the given expression can be simplified as follows: 1. Group terms with common factors:    - $ABC'D' + AB'C'D'$ can be simplified by factoring out $AC'D'$, resulting in $AC'D'(B + B')$. Since $B + B' = 1$, this simplifies to $AC'D'$.   - $A'BCD + A'BC'D$ can be simplified by factoring out $A'BC$, resulting in $A'BC(D + D')$. Since $D + D' = 1$, this simplifies to $A'BC$.2. Combine the simplified terms:    - The expression becomes $AC'D' + A'BC$, which matches option D. Therefore, the simplified expression is $A'BC + AC'D'$.

Question 16

Which is the correct Karnaugh map for the following truth table?  
A)

B)

C)

D)

E)$\text { None of these }$

Accepted Answer

The answer of Which is the correct Karnaugh map for...

Question 17

Let $W =$ surfers wearing wet suits $\}$, with $| W | = 6$
$H =$ surfers with blonde hair $\}$, with $| H | = 12$
$B = \{$ surfers who ride long boards $\}$, with $| B | = 3$
Also, let $| \boldsymbol { W } \cap \boldsymbol { H } | = \mathbf { 4 } , | \boldsymbol { W } \cap \boldsymbol { B } | = \mathbf { 1 } , | \boldsymbol { H } \cap \boldsymbol { B } | = 2$, and $| \boldsymbol { W } \cup \boldsymbol { H } \cup \boldsymbol { B } | = 15$.
-Which is the correct Venn diagram for the given cardinalities? 
A)

B)

C)

D)

E) None of these

Accepted Answer

The answer of Let $W =$ surfers wearing wet suits...

Quiz 7: Computer Science and Mathematics

AB′C' ∨ A'B'C′ ′∨ A'B′C' is represented by which Venn diagram?

Choose the correct output for each of the following. Assume that all commands are valid. -For $\mathrm { x } = 2$ to 10 step $y = 2 x - 2$ Print $x , y$ Next $x$

Use the correct reduced Boolean expression obtaind from the previous question. - $x \wedge \left( x ^ { \prime } \vee y \right)$

Choose the correct output for each of the following. Assume that all commands are valid. -For $\mathrm { x } = 3$ to 9 Print $x$ Next $x$

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For $\mathrm { x } = 1$ to 1280 Plot pixel $( x , 512 )$ ClearScreen Next $x$

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For $x = 4$ to 1280 step 4 $y = 0.25 x + 512$ Plot pixel $( x , y )$ Next $x$

Use the correct reduced Boolean expression obtaind from the previous question. -The reduced expression is represented by which of the following gated circuits?

Use the correct reduced Boolean expression obtaind from the previous question. -What is the reduced Boolean expression obtained from the Karnaugh map?

Use the correct reduced Boolean expression obtaind from the previous question. - $x y ^ { \prime } \vee x ^ { \prime } y ^ { \prime }$

Simplify ABC'D′∨ AB′C'D′∨ A'BCD∨ A'BC'D.

Which is the correct Karnaugh map for the following truth table? $Which is the correct Karnaugh map for the following truth table? A) B) C) D) E) \text { None of these }$

Quiz 7: Computer Science and Mathematics

AB′C' ∨ A'B'C′ ′∨ A'B′C' is represented by which Venn diagram?

Choose the correct output for each of the following. Assume that all commands are valid. -For x=2\mathrm { x } = 2x=2 to 10 step y=2x−2y = 2 x - 2y=2x−2 Print x,yx , yx,y Next xxx

Use the correct reduced Boolean expression obtaind from the previous question. - x∧(x′∨y) x \wedge \left( x ^ { \prime } \vee y \right) x∧(x′∨y)

Which Boolean expression is associated with the following gated circuit?

Choose the correct output for each of the following. Assume that all commands are valid. -For x=3\mathrm { x } = 3x=3 to 9 Print xxx Next xxx

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For x=1\mathrm { x } = 1x=1 to 1280 Plot pixel (x,512) ( x , 512 ) (x,512) ClearScreen Next xxx

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For x=4x = 4x=4 to 1280 step 4 y=0.25x+512y = 0.25 x + 512y=0.25x+512 Plot pixel (x,y) ( x , y ) (x,y) Next xxx

Use the correct reduced Boolean expression obtaind from the previous question. -The reduced expression is represented by which of the following gated circuits?

Use the correct reduced Boolean expression obtaind from the previous question. -What is the reduced Boolean expression obtained from the Karnaugh map?

Use the correct reduced Boolean expression obtaind from the previous question. - xy′∨x′y′x y ^ { \prime } \vee x ^ { \prime } y ^ { \prime }xy′∨x′y′

Simplify ABC'D′∨ AB′C'D′∨ A'BCD∨ A'BC'D.

Which is the correct Karnaugh map for the following truth table?

Choose the correct output for each of the following. Assume that all commands are valid. -For $\mathrm { x } = 2$ to 10 step $y = 2 x - 2$ Print $x , y$ Next $x$

Use the correct reduced Boolean expression obtaind from the previous question. - $x \wedge \left( x ^ { \prime } \vee y \right)$

Choose the correct output for each of the following. Assume that all commands are valid. -For $\mathrm { x } = 3$ to 9 Print $x$ Next $x$

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For $\mathrm { x } = 1$ to 1280 Plot pixel $( x , 512 )$ ClearScreen Next $x$

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For $x = 4$ to 1280 step 4 $y = 0.25 x + 512$ Plot pixel $( x , y )$ Next $x$

Use the correct reduced Boolean expression obtaind from the previous question. - $x y ^ { \prime } \vee x ^ { \prime } y ^ { \prime }$

Which is the correct Karnaugh map for the following truth table? $Which is the correct Karnaugh map for the following truth table? A) B) C) D) E) \text { None of these }$