Question 1

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors.
-$\begin{array}{r}
1000_{2}^{*} \
+0110_{2}^{*} \
\hline
\end{array}$

Accepted Answer

A)  $1001 _ { 2 } *$ 
B)  $1010 _ { 2 }$ * 
C)  $1110 _ { 2 }$ * 
D)  $1101 _ { 2 }$ * 
E)  None of these 
A)  $1001 _ { 2 } *$ 
B)  $1010 _ { 2 }$ * 
C)  $1110 _ { 2 }$ * 
D)  $1101 _ { 2 }$ * 
E)  None of these C

Question 2

Use long division to convert each decimal fraction into a binary expansion.
-$\frac { 1 } { 6 }$

Accepted Answer

$0.00 \overline { 10 } _ { 2 }$

Question 3

Find the binary equivalent for each of the following decimal numbers.
-13.00390625

Accepted Answer

$1101.00000001 _ { 2 }$

Question 4

Translate each of the following decimal numbers into two's complement notation. Use an
8-bit representation.
-83

Accepted Answer

The answer of Translate each of the following decimal numbers...

Question 5

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors.
-$\begin{array} { r } 
1110 _ { 2 } * \
+ 1011 _ { 2 } * \
\hline
\end{array}$

Accepted Answer

A)  (1) $0001 _ { 2 } *$ 
B)  (1) $0101 _ { 2 }$ * 
C)  (1) $1001 _ { 2 * }$ 
D)  (1) $1101 _ { 2 * }$ 
E)  None of these 
A)  (1) $0001 _ { 2 } *$ 
B)  (1) $0101 _ { 2 }$ * 
C)  (1) $1001 _ { 2 * }$ 
D)  (1) $1101 _ { 2 * }$ 
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.
-$00100110 _ { 2 * }$

Accepted Answer

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

Question 7

Translate each of the following decimal numbers into two's complement notation.Use an 8-bit representation.
-41

Accepted Answer

A)  $101011 _ { 2 } *$ 
B)  $101101 _ { 2 }$ * 
C)  $110001 _ { 2 } *$ 
D)  $101001 _ { 2 } *$ 
E)  None of these 
A)  $101011 _ { 2 } *$ 
B)  $101101 _ { 2 }$ * 
C)  $110001 _ { 2 } *$ 
D)  $101001 _ { 2 } *$ 
E)  None of these

Question 8

Find the decimal equivalent for each of the following binary numbers.
-$11001011 _ { 2 }$

Accepted Answer

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

Question 9

Add the following binary numbers.
-$\begin{array}{r}
1011_{2} \
+1101_{2} \
\hline
\end{array}$

Accepted Answer

A)  $11001 _ { 2 }$ 
B)  $10100 _ { 2 }$ 
C)  $11010 _ { 2 }$ 
D)  $11000 _ { 2 }$ 
E)  None of these 
A)  $11001 _ { 2 }$ 
B)  $10100 _ { 2 }$ 
C)  $11010 _ { 2 }$ 
D)  $11000 _ { 2 }$ 
E)  None of these

Question 10

Multiply each pair of binary numbers.
-$\begin{array} { r } 
1110 _ { 2 } \
\times \quad 10 _ { 2 } \
\hline
\end{array}$

Accepted Answer

A)  $10101 _ { 2 }$ 
B)  $11000 _ { 2 }$ 
C)  $11100 _ { 2 }$ 
D)  $10100 _ { 2 }$ 
E)  None of these 
A)  $10101 _ { 2 }$ 
B)  $11000 _ { 2 }$ 
C)  $11100 _ { 2 }$ 
D)  $10100 _ { 2 }$ 
E)  None of these

Question 11

Use long division to convert each decimal fraction into a binary expansion.
-$\frac { 9 } { 16 }$

Accepted Answer

A)  $0.101 _ { 2 }$ 
B)  $0.1001 _ { 2 }$ 
C)  $0.10001 _ { 2 }$ 
D)  $0.10011 _ { 2 }$ 
E)  None of these 
A)  $0.101 _ { 2 }$ 
B)  $0.1001 _ { 2 }$ 
C)  $0.10001 _ { 2 }$ 
D)  $0.10011 _ { 2 }$ 
E)  None of these

Question 12

Simplify each of the following by using long division.
-$11000 _ { 2 } \div 11 _ { 2 }$

Accepted Answer

A)  $1010 _ { 2 }$ 
B)  $1000 _ { 2 }$ 
C)  $1100 _ { 2 }$ 
D)  $1001 _ { 2 }$ 
E)  None of these 
A)  $1010 _ { 2 }$ 
B)  $1000 _ { 2 }$ 
C)  $1100 _ { 2 }$ 
D)  $1001 _ { 2 }$ 
E)  None of these

Question 13

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

Accepted Answer

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

Question 14

Add the following binary numbers.
-$\begin{array} { r } 
10010101 _ { 2 } \
+ 11010010 _ { 2 } \
\hline
\end{array}$

Accepted Answer

The answer of Add the following binary numbers.
-\(\begin{array} { r...

Question 15

Find the binary equivalent for each of the following decimal numbers.
-106

Accepted Answer

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

Question 16

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent.
-$10110101 _ { 2 } *$

Accepted Answer

A)  −75 
B)  75 
C)  −181 
D)  181 
E)  None of these 
A)  −75 
B)  75 
C)  −181 
D)  181 
E)  None of these

Question 17

Find the decimal equivalent for each of the following binary numbers.
-$\frac { 10101 _ { 2 } } { 1000000 _ { 2 } }$

Accepted Answer

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

Question 18

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors.
-$\begin{array} { r } 
1011 _ { 2 * } \
+ 0101 _ { 2 } * \
\hline
\end{array}$

Accepted Answer

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

Question 19

Multiply each pair of binary numbers.
-$\begin{array} { r } 
10101 _ { 2 } \
\times \quad 101 _ { 2 } \
\hline
\end{array}$

Accepted Answer

The answer of Multiply each pair of binary numbers.
-\(\begin{array} {...

Question 20

Find the binary equivalent for each of the following decimal numbers.
-18.8125

Accepted Answer

A)  $1010.1101 _ { 2 }$ 
B)  $1100.1101 _ { 2 }$ 
C)  $10010.1011 _ { 2 }$ 
D)  $10010.11 _ { 2 }$ 
E)  None of these 
A)  $1010.1101 _ { 2 }$ 
B)  $1100.1101 _ { 2 }$ 
C)  $10010.1011 _ { 2 }$ 
D)  $10010.11 _ { 2 }$ 
E)  None of these

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 100 +011

Use long division to convert each decimal fraction into a binary expansion. - $\frac { 1 } { 6 }$

Find the binary equivalent for each of the following decimal numbers. -13.00390625

Translate each of the following decimal numbers into two's complement notation. Use an 8-bit representation. -83

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 111* +101*

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - $00100110 _ { 2 * }$

Translate each of the following decimal numbers into two's complement notation.Use an 8-bit representation. -41

Find the decimal equivalent for each of the following binary numbers. - $11001011 _ { 2 }$

Add the following binary numbers. - 101 +110

Multiply each pair of binary numbers. - 111 \times1

Use long division to convert each decimal fraction into a binary expansion. - $\frac { 9 } { 16 }$

Simplify each of the following by using long division. - $11000 _ { 2 } \div 11 _ { 2 }$

Perform the following binary subtractions. - 101 -010

Add the following binary numbers. - 1001010 +1101001

Find the binary equivalent for each of the following decimal numbers. -106

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - $10110101 _ { 2 } *$

Find the decimal equivalent for each of the following binary numbers. - $\frac { 10101 _ { 2 } } { 1000000 _ { 2 } }$

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 101 +010*

Multiply each pair of binary numbers. - 1010 \times10

Find the binary equivalent for each of the following decimal numbers. -18.8125

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Exam 2: Binary Numbers