Question 1

Evaluate each of the following
-$$4 ^ { 2 } \cdot 4 ^ { - 3 }$$

Accepted Answer

A)  4 
B)  1 
C)  $16 \frac { 1 } { 64 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  None of these 
A)  4 
B)  1 
C)  $16 \frac { 1 } { 64 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  None of these

Question 2

Complete the following truth table.
 $\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \sim \boldsymbol { p } \wedge \boldsymbol { q } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$ 
Identify the last column in the table as

Accepted Answer

A)  a condition statement, 
B)  a fallacy, 
C)  a tautology, or 
D)  none of these. 
A)  a condition statement, 
B)  a fallacy, 
C)  a tautology, or 
D)  none of these.

Question 3

Find the binary equivalent of the decimal number 123.625.

Accepted Answer

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

Question 4

Let $L = \{$ homes with a lawn $\}$, with $| L | = 13$
$F = \{$ homes with a white picket fence $\}$, with $| F | = 13$
$G = \{$ homes with a garage $\}$, with $| G | = 16$
Also, let $| L \cap F | = 8 , | L \cap G | = \mathbf { 9 } , | F \cap G | = 10$, and $| L \cup F \cup G | = 22$.
-How many homes have a lawn and a white picket fence,
but no garage?

Accepted Answer

The answer of Let $L = \{$ homes with a...

Question 5

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

Accepted Answer

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 
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

Question 6

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.
-$$01101001 _ { 2 ^ { * } }$$

Accepted Answer

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

Question 7

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.
-$$10000001 _ { 2 ^ { * } }$$

Accepted Answer

A)  130 
B)  −127 
C)  127 
D)  −130 
E)  None of these 
A)  130 
B)  −127 
C)  127 
D)  −130 
E)  None of these

Question 8

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 $x$

Accepted Answer

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 
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

Question 9

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.
-$$\frac { 9 } { 2 - 2 }$$

Accepted Answer

Division b

Question 10

Assuming even parity, determine whether each of the following bit patterns contains an error.
-$$10101110 _ { 2 }$$

Accepted Answer

The answer of Assuming even parity, determine whether each of...

Question 11

Perform the following operations with binary numbers.
-$$\begin{array} { r } 
1010 _ { 2 } \
- 0101 _ { 2 } \
\hline
\end{array}$$

Accepted Answer

The answer of Perform the following operations with binary numbers.
-\[\begin{array}...

Question 12

Describe the output for each of the following. Assume that all commands are valid. For the following Problems, assume that the code is applied to a computer monitor with a resolution of 1280 by 1024.
-For $\mathrm { x } = 2$ to $1280$
$y = 0.5 x + 384$
$\mathrm { Plot }$ pixel $( \mathrm { x } , \mathrm { y } )$
Next $x$

Accepted Answer

The output is a diagonal line sloping do

Question 13

Complete the following arithmetic problems.
-$\begin{array}{c}
5 \mathrm{~A} 8_{16} \
-\quad 9 \mathrm{D}_{16} \
\hline
\end{array}$

Accepted Answer

A)  $645 _ { 16 }$ 
B)  $50 \mathrm {~B} _ { 16 }$ 
C)  $50 \mathrm { C } _ { 16 }$ 
D)  $644 _ { 16 }$ 
E)  None of these 
A)  $645 _ { 16 }$ 
B)  $50 \mathrm {~B} _ { 16 }$ 
C)  $50 \mathrm { C } _ { 16 }$ 
D)  $644 _ { 16 }$ 
E)  None of these

Question 14

Find the hexadecimal equivalent of the binary number 1101.011010112.

Accepted Answer

A)  $D$. $6 \mathrm {~B} _ { 16 }$ 
B)  $13.611 _ { 16 }$ 
C)  $15.153$ 
D)  C. $6 \mathrm {~B} _ { 16 }$ 
E)  None of these 
A)  $D$. $6 \mathrm {~B} _ { 16 }$ 
B)  $13.611 _ { 16 }$ 
C)  $15.153$ 
D)  C. $6 \mathrm {~B} _ { 16 }$ 
E)  None of these

Question 15

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

Accepted Answer

The answer of Let U = {0, 1, 2, 3,...

Question 16

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.
-$$01011110 _ { 2 ^ { * } }$$

Accepted Answer

A)  94 
B)  −94 
C)  95 
D)  −95 
E)  None of these 
A)  94 
B)  −94 
C)  95 
D)  −95 
E)  None of these

Question 17

Evaluate each of the following
-$\sqrt { - 36 }$

Accepted Answer

A)  $- 6$ 
B)  6 
C)  $\sqrt { 36 }$ 
D)  $- \sqrt { 36 }$ 
E)  None of these 
A)  $- 6$ 
B)  6 
C)  $\sqrt { 36 }$ 
D)  $- \sqrt { 36 }$ 
E)  None of these

Evaluate each of the following - $4 ^ { 2 } \cdot 4 ^ { - 3 }$

Complete the following truth table. \sim \sim \wedge 1 1 1 0 0 1 0 0 Identify the last column in the table as

Find the binary equivalent of the decimal number 123.625.

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

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - $01101001 _ { 2 ^ { * } }$

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $10000001 _ { 2 ^ { * } }$

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 $x$

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. - $\frac { 9 } { 2 - 2 }$

Assuming even parity, determine whether each of the following bit patterns contains an error. - $10101110 _ { 2 }$

Perform the following operations with binary numbers. - 101 -010

Complete the following arithmetic problems. - 5 -9

Find the hexadecimal equivalent of the binary number 1101.01101011₂.

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

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $01011110 _ { 2 ^ { * } }$

Evaluate each of the following - $\sqrt { - 36 }$

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Sets and Algebra

Boolean Circuits

Graphs

Filters

Exam 7: Computer Science and Mathematics

Evaluate each of the following - 42⋅4−34 ^ { 2 } \cdot 4 ^ { - 3 }42⋅4−3

Complete the following truth table. \sim \sim \wedge 1 1 1 0 0 1 0 0 Identify the last column in the table as

Find the binary equivalent of the decimal number 123.625.

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

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - 011010012∗01101001 _ { 2 ^ { * } }011010012∗​

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - 100000012∗10000001 _ { 2 ^ { * } }100000012∗​

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

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. - 92−2\frac { 9 } { 2 - 2 }2−29​

Assuming even parity, determine whether each of the following bit patterns contains an error. - 10101110210101110 _ { 2 }101011102​

Perform the following operations with binary numbers. - 101 -010

Complete the following arithmetic problems. - 5 -9

Find the hexadecimal equivalent of the binary number 1101.011010112.

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

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - 010111102∗01011110 _ { 2 ^ { * } }010111102∗​

Evaluate each of the following - −36\sqrt { - 36 }−36​

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Sets and Algebra

Boolean Circuits

Graphs

Filters

Evaluate each of the following - $4 ^ { 2 } \cdot 4 ^ { - 3 }$

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

The following numbers are in 8-bit, two's complement notation. Give the decimal equivalent for each. - $01101001 _ { 2 ^ { * } }$

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $10000001 _ { 2 ^ { * } }$

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 $x$

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. - $\frac { 9 } { 2 - 2 }$

Assuming even parity, determine whether each of the following bit patterns contains an error. - $10101110 _ { 2 }$

Find the hexadecimal equivalent of the binary number 1101.01101011₂.

The following numbers are in 8-bit, two's complement notation. Find the decimal equivalent for each. - $01011110 _ { 2 ^ { * } }$

Evaluate each of the following - $\sqrt { - 36 }$