Question 1

Give the Boolean expression associated with the
following gated circuit.

Accepted Answer

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

Question 2

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 $\mathrm { x } = 1$ to 7
Print $x$
Next $x$

Accepted Answer

The answer of Describe the output for each of the...

Question 3

Evaluate each of the following
-$$\frac { 32 ^ { 2 } } { 8 ^ { 3 } }$$
A) 1
B) 2
C) 4
D) 8
E) None of these

Accepted Answer

The expression can be simplified as $\frac{32^2}{8^3} = \frac{(2^5)^2}{(2^3)^3} = \frac{2^{10}}{2^9} = 2^{10-9} = 2^1 = 2$.

Question 4

Simplify AB′′CD∨ AB′′CD ∨ ABCD′ ∨ ABC′ D.

Accepted Answer

The answer of Simplify AB′′CD∨ AB′′CD ∨ ABCD′ ∨ ABC′...

Question 5

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

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

Accepted Answer

The answer of Evaluate each of the following
-\(\frac { 46.5...

Question 6

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 $\mathrm { x } = 4$ to $1280$ $step 4$
$y = 0.25 \mathrm { x }$
$\mathrm { Plot }$ pixel $( \mathrm { x } , \mathrm { y } )$
$\mathrm { ClearScreen }$
Next $x$

Accepted Answer

The answer of Describe the output for each of the...

Question 7

Evaluate each of the following
-$$4 ^ { 2 } \cdot 4 ^ { - 3 }$$ 
A) 4
B) 1
C) $16 \frac { 1 } { 64 }$
D) $\frac { 1 } { 4 }$
E) None of these

Accepted Answer

The expression can be simplified using the property of exponents: $a^m \cdot a^n = a^{m+n}$. Here, $4^2 \cdot 4^{-3} = 4^{2-3} = 4^{-1} = \frac{1}{4}$.

Question 8

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

Accepted Answer

The square root of 49 is 7, and the negative sign in front makes it -7.

Question 9

Evaluate each of the following
-$$3 ^ { 3 } + 3 ^ { - 2 }$$
A) 3
B) $26 \frac { 8 } { 9 }$
C) $27 \frac { 1 } { 9 }$
D) $\frac { 27 } { 9 }$
E) None of these

Accepted Answer

The expression evaluates as follows: $3^3 + 3^{-2} = 27 + \frac{1}{3^2} = 27 + \frac{1}{9} = 27 \frac{1}{9}$.

Question 10

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

Accepted Answer

$\sqrt{-36}$ is not a real number; it is an imaginary number. The correct representation would be $6i$, where $i$ is the imaginary unit $\sqrt{-1}$. None of the provided options correctly represent this.

Question 11

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.
-$\text { For } X = 1 \text { to } 8$ 
$Y = x - 1$
Print $x , y$
Next $x$

Accepted Answer

The answer of Describe the output for each of the...

Question 12

Perform the following operations with binary numbers.
-$\begin{array}{r}
1110_{2} \
-1001_{2} \
\hline
\end{array}$

A) $11 _ { 2 }$
B) $100 _ { 2 }$
C) $110 _ { 2 }$
D) $101 _ { 2 }$
E) None of these

Accepted Answer

The answer of Perform the following operations with binary numbers.
-\(\begin{array}{r}
1110_{2}...

Question 13

Evaluate each of the following
-$\frac { 56 } { 5 ^ { 0 } - 1 ^ { 2 } }$
A) Undefined
B) 56
C) 14
D) $9 \frac { 1 } { 3 }$
E) None of these

Accepted Answer

The denominator becomes $5^0 - 1^2 = 1 - 1 = 0$, and division by zero is undefined.

Question 14

Evaluate each of the following
-$$16 ^ { 1 / 4 }$$
A) 4
B) 2
C) 8
D) 64
E) None of these

Accepted Answer

$$16^{1/4}$$ means the fourth root of 16, which is 2 because $2^4 = 16$.

Question 15

Karnaugh map

-Find a gated circuit for the reduced expression.

Accepted Answer

The answer of 
Karnaugh map

-Find a gated circuit for the...

Question 16

Perform the following operations with binary numbers.
-$\begin{array}{r}
10001_{2} \
\times \quad 111_{2} \
\hline
\end{array}$

A) $1110110 _ { 2 }$
B) $1110111 _ { 2 }$
C) $1100111 _ { 2 }$
D) $1110101 _ { 2 }$
E) None of these

Accepted Answer

The answer of Perform the following operations with binary numbers.
-\(\begin{array}{r}
10001_{2}...

Question 17

Perform the following operations with binary numbers.
-$\begin{array}{r}
10011001_{2} \
+01011010_{2} \
\hline
\end{array}$

A) $11101011 _ { 2 }$
B) $11110010 _ { 2 }$
C) $11110011 _ { 2 }$
D) $11110001 _ { 2 }$
E) None of these

Accepted Answer

The answer of Perform the following operations with binary numbers.
-\(\begin{array}{r}
10011001_{2}...

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 answer of Evaluate each of the following
-For \(\mathrm {...

Question 19

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 answer of Describe the output for each of the...

Question 20

Evaluate each of the following
-For $\mathrm { x } = 0$ to 255
Dcolor $= " \mathrm { x } , 0,255 - \mathrm { x } ^ { \prime \prime }$
Plot Pixel $( 128 , \mathrm { x } )$
Next $x$

Accepted Answer

The answer of Evaluate each of the following
-For \(\mathrm {...

Quiz 7: Computer Science and Mathematics

Give the Boolean expression associated with the following gated circuit.

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 $\mathrm { x } = 1$ to 7 Print $x$ Next $x$

Evaluate each of the following - $\frac { 32 ^ { 2 } } { 8 ^ { 3 } }$

Simplify AB′′CD∨ AB′′CD ∨ ABCD′ ∨ ABC′ D.

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

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

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

Evaluate each of the following - $3 ^ { 3 } + 3 ^ { - 2 }$

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

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. - $\text { For } X = 1 \text { to } 8$ $Y = x - 1$ Print $x , y$ Next $x$

Perform the following operations with binary numbers. - $\begin{array}{r}1110_{2} \\-1001_{2} \\\hline\end{array}$

Evaluate each of the following - $\frac { 56 } { 5 ^ { 0 } - 1 ^ { 2 } }$

Evaluate each of the following - $16 ^ { 1 / 4 }$

Karnaugh map -Find a gated circuit for the reduced expression.

Perform the following operations with binary numbers. - $\begin{array}{r}10001_{2} \\\times \quad 111_{2} \\\hline\end{array}$

Perform the following operations with binary numbers. - $\begin{array}{r}10011001_{2} \\+01011010_{2} \\\hline\end{array}$

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 $\mathrm { x }$

Evaluate each of the following -For $\mathrm { x } = 0$ to 255 Dcolor $= " \mathrm { x } , 0,255 - \mathrm { x } ^ { \prime \prime }$ Plot Pixel $( 128 , \mathrm { x } )$ Next $x$

Quiz 7: Computer Science and Mathematics

Give the Boolean expression associated with the following gated circuit.

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 x=1\mathrm { x } = 1x=1 to 7 Print xxx Next xxx

Evaluate each of the following - 32283\frac { 32 ^ { 2 } } { 8 ^ { 3 } }83322​

Simplify AB′′CD∨ AB′′CD ∨ ABCD′ ∨ ABC′ D.

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​

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

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

Evaluate each of the following - 33+3−23 ^ { 3 } + 3 ^ { - 2 }33+3−2

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

Perform the following operations with binary numbers. - 11102−10012\begin{array}{r}1110_{2} \\-1001_{2} \\\hline\end{array}11102​−10012​​​

Evaluate each of the following - 5650−12\frac { 56 } { 5 ^ { 0 } - 1 ^ { 2 } }50−1256​

Evaluate each of the following - 161/416 ^ { 1 / 4 }161/4

Karnaugh map -Find a gated circuit for the reduced expression.

Perform the following operations with binary numbers. - 100012×1112\begin{array}{r}10001_{2} \\\times \quad 111_{2} \\\hline\end{array}100012​×1112​​​

Perform the following operations with binary numbers. - 100110012+010110102\begin{array}{r}10011001_{2} \\+01011010_{2} \\\hline\end{array}100110012​+010110102​​​

Evaluate each of the following -For x=0\mathrm { x } = 0x=0 to 255 Dcolor ="x,0,255−x′′= " \mathrm { x } , 0,255 - \mathrm { x } ^ { \prime \prime }="x,0,255−x′′ Plot Pixel (128,x)( 128 , \mathrm { x } )(128,x) Next xxx

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 $\mathrm { x } = 1$ to 7 Print $x$ Next $x$

Evaluate each of the following - $\frac { 32 ^ { 2 } } { 8 ^ { 3 } }$

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

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

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

Evaluate each of the following - $3 ^ { 3 } + 3 ^ { - 2 }$

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

Perform the following operations with binary numbers. - $\begin{array}{r}1110_{2} \\-1001_{2} \\\hline\end{array}$

Evaluate each of the following - $\frac { 56 } { 5 ^ { 0 } - 1 ^ { 2 } }$

Evaluate each of the following - $16 ^ { 1 / 4 }$

Perform the following operations with binary numbers. - $\begin{array}{r}10001_{2} \\\times \quad 111_{2} \\\hline\end{array}$

Perform the following operations with binary numbers. - $\begin{array}{r}10011001_{2} \\+01011010_{2} \\\hline\end{array}$

Evaluate each of the following -For $\mathrm { x } = 0$ to 255 Dcolor $= " \mathrm { x } , 0,255 - \mathrm { x } ^ { \prime \prime }$ Plot Pixel $( 128 , \mathrm { x } )$ Next $x$