Question 1

Find the decimal equivalent for each of the following binary numbers.
-$1010 _ { 2 }$

Accepted Answer

The answer of Find the decimal equivalent for each of...

Question 2

Find the binary equivalent for each of the following decimal numbers.
-111

Accepted Answer

The answer of Find the binary equivalent for each of...

Question 3

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent.
-$00001111 _ { 2 }$

Accepted Answer

The answer of Each of the following numbers are in...

Question 4

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors.
-$\begin{array} { r } 
1111 _ { 2 } { } ^ { * } \
+ 1101 _ { 2 } ^ { * } \
\hline
\end{array}$

Accepted Answer

The answer of Add the following binary numbers in 4-bit,...

Question 5

Find the binary equivalent for each of the following decimal numbers.
-0.140625

Accepted Answer

A)  $0.00101 _ { 2 }$ 
B)  $0.001001 _ { 2 }$ 
C)  $0.0010001 _ { 2 }$ 
D)  $0.000101 _ { 2 }$ 
E)  None of these 
A)  $0.00101 _ { 2 }$ 
B)  $0.001001 _ { 2 }$ 
C)  $0.0010001 _ { 2 }$ 
D)  $0.000101 _ { 2 }$ 
E)  None of these

Question 6

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent.
-$01100110 _ { 2 } ^ { * }$

Accepted Answer

A)  102 
B)  −102 
C)  154 
D)  −154 
E)  None of these 
A)  102 
B)  −102 
C)  154 
D)  −154 
E)  None of these

Question 7

Use long division to convert each decimal fraction into a binary expansion.
-$\frac { 3 } { 32 }$

Accepted Answer

A)  $0.0011 _ { 2 }$ 
B)  $0.000011 _ { 2 }$ 
C)  $0.00101 _ { 2 }$ 
D)  $0.00011 _ { 2 }$ 
E)  None of these 
A)  $0.0011 _ { 2 }$ 
B)  $0.000011 _ { 2 }$ 
C)  $0.00101 _ { 2 }$ 
D)  $0.00011 _ { 2 }$ 
E)  None of these

Question 8

Translate each of the following decimal numbers into two's complement notation.Use an 8-bit representation.
-−112

Accepted Answer

A)  $10010100 _ { 2 } *$ 
B)  $10010000 _ { 2 } *$ 
C)  $10001000 _ { 2 } *$ 
D)  $10000100 _ { 2 } *$ 
E)  None of these 
A)  $10010100 _ { 2 } *$ 
B)  $10010000 _ { 2 } *$ 
C)  $10001000 _ { 2 } *$ 
D)  $10000100 _ { 2 } *$ 
E)  None of these

Question 9

Find the decimal equivalent for each of the following binary numbers.
-111.11012

Accepted Answer

A)  7.78125 
B)  7.8125 
C)  7.6875 
D)  7.40625 
E)  None of these 
A)  7.78125 
B)  7.8125 
C)  7.6875 
D)  7.40625 
E)  None of these

Question 10

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent.
-$10110011 _ { 2 * }$

Accepted Answer

The answer of Each of the following numbers are in...

Question 11

Perform the following binary subtractions.
-$\begin{array}{r}
1111_{2} \
-1101_{2} \
\hline
\end{array}$

Accepted Answer

A)  $0011 _ { 2 }$ 
B)  $0101 _ { 2 }$ 
C)  $0001 _ { 2 }$ 
D)  $0010 _ { 2 }$ 
E)  None of these 
A)  $0011 _ { 2 }$ 
B)  $0101 _ { 2 }$ 
C)  $0001 _ { 2 }$ 
D)  $0010 _ { 2 }$ 
E)  None of these

Question 12

Perform the following binary subtractions.
-$\begin{array} { r } 
1110 _ { 2 } \
- 0101 _ { 2 } \
\hline
\end{array}$

Accepted Answer

A)  $0001 _ { 2 }$ 
B)  $1001 _ { 2 }$ 
C)  $1011 _ { 2 }$ 
D)  $0011 _ { 2 }$ 
E)  None of these 
A)  $0001 _ { 2 }$ 
B)  $1001 _ { 2 }$ 
C)  $1011 _ { 2 }$ 
D)  $0011 _ { 2 }$ 
E)  None of these

Question 13

Find the binary equivalent for each of the following decimal numbers.
-0.65625

Accepted Answer

The answer of Find the binary equivalent for each of...

Question 14

Perform the following binary subtractions.
-$\begin{array} { r } 
1010 _ { 2 } \
- 0011 _ { 2 } \
\hline
\end{array}$

Accepted Answer

The answer of Perform the following binary subtractions.
-\(\begin{array} { r...

Question 15

Find the decimal equivalent for each of the following binary numbers.
-$\frac { 1101 _ { 2 } } { 10000 _ { 2 } }$

Accepted Answer

A)  0.75 
B)  0.9375 
C)  0.8125 
D)  0.875 
E)  None of these 
A)  0.75 
B)  0.9375 
C)  0.8125 
D)  0.875 
E)  None of these

Find the decimal equivalent for each of the following binary numbers. - $1010 _ { 2 }$

Find the binary equivalent for each of the following decimal numbers. -111

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - $00001111 _ { 2 }$

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 111 +110

Find the binary equivalent for each of the following decimal numbers. -0.140625

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - $01100110 _ { 2 } ^ { * }$

Use long division to convert each decimal fraction into a binary expansion. - $\frac { 3 } { 32 }$

Translate each of the following decimal numbers into two's complement notation.Use an 8-bit representation. -−112

Find the decimal equivalent for each of the following binary numbers. -111.1101₂

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - $10110011 _ { 2 * }$

Perform the following binary subtractions. - 111 -110

Perform the following binary subtractions. - 111 -010

Find the binary equivalent for each of the following decimal numbers. -0.65625

Perform the following binary subtractions. - 101 -001

Find the decimal equivalent for each of the following binary numbers. - $\frac { 1101 _ { 2 } } { 10000 _ { 2 } }$

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Exam 2: Binary Numbers

Find the decimal equivalent for each of the following binary numbers. - 101021010 _ { 2 }10102​