Question 1

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t}
A = {0, 2, 4, 8, r, t}
B = {1, 3, 7, 8, 9, s, t}
Find the following:
-(B')'

Accepted Answer

A)  {1, 3, 7, 8, 9, s} 
B)  {1, 3, 7, 8, 9, s, t} 
C)  {1, 3, 5, 7, 8, 9, s, t} 
D)  {0, 1, 2, 7, 8, 9, s, t} 
E)  None of these 
A)  {1, 3, 7, 8, 9, s} 
B)  {1, 3, 7, 8, 9, s, t} 
C)  {1, 3, 5, 7, 8, 9, s, t} 
D)  {0, 1, 2, 7, 8, 9, s, t} 
E)  None of these B

Question 2

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t}
A = {0, 2, 4, 8, r, t}
B = {1, 3, 7, 8, 9, s, t}
Find the following:
-B′

Accepted Answer

A)  {1, 3, 5, 6, 7, 9, s} 
B)  {1, 3, 5, 7, 9, s} 
C)  {0, 2, 4, 5, 6, r} 
D)  {0, 2, 4, 6, r} 
E)  None of these 
A)  {1, 3, 5, 6, 7, 9, s} 
B)  {1, 3, 5, 7, 9, s} 
C)  {0, 2, 4, 5, 6, r} 
D)  {0, 2, 4, 6, r} 
E)  None of these C

Question 3

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.
-$$11110001 _ { 2 ^ { * } }$$

Accepted Answer

A)  15 
B)  242 
C)  −15 
D)  −242 
E)  None of these 
A)  15 
B)  242 
C)  −15 
D)  −242 
E)  None of these C

Question 4

Evaluate each of the following
-$$- \sqrt { 49 }$$

Accepted Answer

A)  7 
B)  −7 
C)  $\sqrt { - 7 }$ 
D)  49 
E)  None of these 
A)  7 
B)  −7 
C)  $\sqrt { - 7 }$ 
D)  49 
E)  None of these

Question 5

Evaluate each of the following. If necessary, round each answer in decimal form to 3 significant digits. If the operation is not defined, so state.
-$$4 ^ { 2 } + 4 ^ { - 2 }$$

Accepted Answer

The answer of Evaluate each of the following. If necessary,...

Question 6

Find the decimal equivalent of the octal number $101.11 _ { 8^. }$

Accepted Answer

The answer of Find the decimal equivalent of the octal...

Question 7

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.
-$$10010110 _ { 2* }$$

Accepted Answer

The answer of The following numbers are in 8-bit, two's...

Question 8

Complete the following truth table. Identify the last  column in the table as a condition statement, a fallacy, or a tautology. $\begin{array} { | c | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \sim \boldsymbol { q } & \sim \boldsymbol { p } \vee \sim \boldsymbol { q } \
\hline 1 & 1 & & & \
\hline 1 & 0 & & & \
\hline 0 & 1 & & & \
\hline 0 & 0 & & & \
\hline
\end{array}$

Accepted Answer

\[\begin{array}{l}
\begin{array} { | c |

Question 9

Complete the following arithmetic problems.
-$$\begin{array} { r } 
6 \mathrm { D } 2 _ { 16 } \
- \quad 4 \mathrm {~B} _ { 16 } \
\hline
\end{array}$$

Accepted Answer

The answer of Complete the following arithmetic problems.
-\[\begin{array} { r...

Question 10

Shade the following region on the Venn diagram:
AB′C∨ ABC′′ ∨ ABC′

Accepted Answer

The answer of Shade the following region on the Venn...

Question 11

Complete the following truth table for f (A,B)=∧A ~B, then use the truth table to evaluate f (1,1). 
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { A } & \boldsymbol { B } & \sim \boldsymbol { B } & f ( \boldsymbol { A } , \boldsymbol { B } ) \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Accepted Answer

\[\begin{array} { | c | c | }

Question 12

Approximate 1 GB = 230 bytes as 1,000,000,000 bytes.

Accepted Answer

A)  0.0687% 
B)  0.0737% 
C)  7.37% 
D)  6.87% 
E)  None of these 
A)  0.0687% 
B)  0.0737% 
C)  7.37% 
D)  6.87% 
E)  None of these

Question 13

Evaluate each of the following
-$\frac { 46.5 \times 10 ^ { 28 } } { 6.2 \times 10 ^ { - 22 } }$

Accepted Answer

A)  $7.5 \times 10 ^ { 6 }$ 
B)  $7.5 \times 10 ^ { - 50 }$ 
C)  $7.5 \times 10 ^ { 50 }$ 
D)  $7.5 \times 10 ^ { 60 }$ 
E)  None of these 
A)  $7.5 \times 10 ^ { 6 }$ 
B)  $7.5 \times 10 ^ { - 50 }$ 
C)  $7.5 \times 10 ^ { 50 }$ 
D)  $7.5 \times 10 ^ { 60 }$ 
E)  None of these

Question 14

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t}
A = {0, 2, 4, 8, r, t}
B = {1, 3, 7, 8, 9, s, t}
Find the following:
-$$| A \cup B |$$

Accepted Answer

A)  9 
B)  11 
C)  10 
D)  12 
E)  None of these 
A)  9 
B)  11 
C)  10 
D)  12 
E)  None of these

Question 15

Complete the following arithmetic problems.
-The hexadecimal ASCII for$\text { "V" is } 56 _ { 16 }$ Find the decimal ASCII for “Y”.

Accepted Answer

The answer of Complete the following arithmetic problems.
-The hexadecimal ASCII...

Question 16

Karnaugh map

-What is the reduced Boolean expression obtained from the Karnaugh map?

Accepted Answer

The answer of 
Karnaugh map

-What is the reduced...

Question 17

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 $x$

Accepted Answer

A)  Consecutive points separated by 4 pixels 
B)  Upward-sloping line 
C)  Downward-sloping line 
D)  Horizontal line 
E)  None of these 
A)  Consecutive points separated by 4 pixels 
B)  Upward-sloping line 
C)  Downward-sloping line 
D)  Horizontal line 
E)  None of these

Question 18

Evaluate each of the following
-For $\mathrm { x } = 0$ to 255
Dcolor $= " 255 - \mathrm { x } , \mathrm { x } , \mathrm { 0 } ^ { \prime \prime }$
$\mathrm { Plot }$ Pixel $( 1280 - 5 \mathrm { x } , 4 \mathrm { x } )$
Next $\mathrm { x }$

Accepted Answer

The output is a diagonal line beginning

Question 19

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

Accepted Answer

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 
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

Question 20

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t}
A = {0, 2, 4, 8, r, t}
B = {1, 3, 7, 8, 9, s, t}
Find the following:
-$$\left| A ^ { \prime } \cup B ^ { \prime } \right|$$

Accepted Answer

A)  11 
B)  12 
C)  10 
D)  13 
E)  None of these 
A)  11 
B)  12 
C)  10 
D)  13 
E)  None of these

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: -(B')'

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: -B′

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $11110001 _ { 2 ^ { * } }$

Evaluate each of the following - $- \sqrt { 49 }$

Evaluate each of the following. If necessary, round each answer in decimal form to 3 significant digits. If the operation is not defined, so state. - $4 ^ { 2 } + 4 ^ { - 2 }$

Find the decimal equivalent of the octal number $101.11 _ { 8^. }$

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - $10010110 _ { 2* }$

Complete the following truth table. Identify the last column in the table as a condition statement, a fallacy, or a tautology. \sim \sim \sim \vee\sim 1 1 1 0 0 1 0 0

Complete the following arithmetic problems. - 6 -4

Shade the following region on the Venn diagram: AB′C∨ ABC′′ ∨ ABC′

Complete the following truth table for f (A,B)=∧A ~B, then use the truth table to evaluate f (1,1). \sim f( , ) 1 1 1 0 0 1 0 0

Approximate 1 GB = 230 bytes as 1,000,000,000 bytes.

Evaluate each of the following - $\frac { 46.5 \times 10 ^ { 28 } } { 6.2 \times 10 ^ { - 22 } }$

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - $| A \cup B |$

Complete the following arithmetic problems. -The hexadecimal ASCII for $\text { "V" is } 56 _ { 16 }$ Find the decimal ASCII for “Y”.

Karnaugh map -What is the reduced Boolean expression obtained from the Karnaugh map?

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 $x$

Evaluate each of the following -For $\mathrm { x } = 0$ to 255 Dcolor $= " 255 - \mathrm { x } , \mathrm { x } , \mathrm { 0 } ^ { \prime \prime }$ $\mathrm { Plot }$ Pixel $( 1280 - 5 \mathrm { x } , 4 \mathrm { x } )$ Next $\mathrm { x }$

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

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - $\left| A ^ { \prime } \cup B ^ { \prime } \right|$

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Sets and Algebra

Boolean Circuits

Graphs

Filters

Exam 7: Computer Science and Mathematics

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: -(B')'

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: -B′

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - 111100012∗11110001 _ { 2 ^ { * } }111100012∗​

Evaluate each of the following - −49- \sqrt { 49 }−49​

Evaluate each of the following. If necessary, round each answer in decimal form to 3 significant digits. If the operation is not defined, so state. - 42+4−24 ^ { 2 } + 4 ^ { - 2 }42+4−2

Find the decimal equivalent of the octal number 101.118.101.11 _ { 8^. }101.118.​

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - 100101102∗10010110 _ { 2* }100101102∗​

Complete the following truth table. Identify the last column in the table as a condition statement, a fallacy, or a tautology. \sim \sim \sim \vee\sim 1 1 1 0 0 1 0 0

Complete the following arithmetic problems. - 6 -4

Shade the following region on the Venn diagram: AB′C∨ ABC′′ ∨ ABC′

Complete the following truth table for f (A,B)=∧A ~B, then use the truth table to evaluate f (1,1). \sim f( , ) 1 1 1 0 0 1 0 0

Approximate 1 GB = 230 bytes as 1,000,000,000 bytes.

Evaluate each of the following - 46.5×10286.2×10−22\frac { 46.5 \times 10 ^ { 28 } } { 6.2 \times 10 ^ { - 22 } }6.2×10−2246.5×1028​

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - ∣A∪B∣| A \cup B |∣A∪B∣

Complete the following arithmetic problems. -The hexadecimal ASCII for "V" is 5616\text { "V" is } 56 _ { 16 } "V" is 5616​ Find the decimal ASCII for “Y”.

Karnaugh map -What is the reduced Boolean expression obtained from the Karnaugh map?

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

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

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - ∣A′∪B′∣\left| A ^ { \prime } \cup B ^ { \prime } \right|∣A′∪B′∣

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Sets and Algebra

Boolean Circuits

Graphs

Filters

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $11110001 _ { 2 ^ { * } }$

Evaluate each of the following - $- \sqrt { 49 }$

Evaluate each of the following. If necessary, round each answer in decimal form to 3 significant digits. If the operation is not defined, so state. - $4 ^ { 2 } + 4 ^ { - 2 }$

Find the decimal equivalent of the octal number $101.11 _ { 8^. }$

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - $10010110 _ { 2* }$

Evaluate each of the following - $\frac { 46.5 \times 10 ^ { 28 } } { 6.2 \times 10 ^ { - 22 } }$

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - $| A \cup B |$

Complete the following arithmetic problems. -The hexadecimal ASCII for $\text { "V" is } 56 _ { 16 }$ Find the decimal ASCII for “Y”.

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 $x$

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t} A = {0, 2, 4, 8, r, t} B = {1, 3, 7, 8, 9, s, t} Find the following: - $\left| A ^ { \prime } \cup B ^ { \prime } \right|$