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)    10012∗1001 _ { 2 } *10012​∗ 
B)    101021010 _ { 2 }10102​  *
C)    111021110 _ { 2 }11102​  *
D)    110121101 _ { 2 }11012​  *
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)   00012∗0001 _ { 2 } *00012​∗ 
B)   (1)   010120101 _ { 2 }01012​  *
C)   (1)   10012∗1001 _ { 2 * }10012∗​ 
D)   (1)   11012∗1101 _ { 2 * }11012∗​ 
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)    1010112∗101011 _ { 2 } *1010112​∗ 
B)    1011012101101 _ { 2 }1011012​  *
C)    1100012∗110001 _ { 2 } *1100012​∗ 
D)    1010012∗101001 _ { 2 } *1010012​∗ 
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)    11001211001 _ { 2 }110012​ 
B)    10100210100 _ { 2 }101002​ 
C)    11010211010 _ { 2 }110102​ 
D)    11000211000 _ { 2 }110002​ 
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)    10101210101 _ { 2 }101012​ 
B)    11000211000 _ { 2 }110002​ 
C)    11100211100 _ { 2 }111002​ 
D)    10100210100 _ { 2 }101002​ 
E)   None of these

Question 11

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

Accepted Answer

A)    0.10120.101 _ { 2 }0.1012​ 
B)    0.100120.1001 _ { 2 }0.10012​ 
C)    0.1000120.10001 _ { 2 }0.100012​ 
D)    0.1001120.10011 _ { 2 }0.100112​ 
E)   None of these

Question 12

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

Accepted Answer

A)    101021010 _ { 2 }10102​ 
B)    100021000 _ { 2 }10002​ 
C)    110021100 _ { 2 }11002​ 
D)    100121001 _ { 2 }10012​ 
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

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)    1010.110121010.1101 _ { 2 }1010.11012​ 
B)    1100.110121100.1101 _ { 2 }1100.11012​ 
C)    10010.1011210010.1011 _ { 2 }10010.10112​ 
D)    10010.11210010.11 _ { 2 }10010.112​ 
E)   None of these

Exam 2: Binary Numbers

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

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. - $\begin{array} { r } 1110 _ { 2 } * \\+ 1011 _ { 2 } * \\\hline\end{array}$

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. - $\begin{array}{r}1011_{2} \\+1101_{2} \\\hline\end{array}$

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

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. - $\begin{array} { r } 1010 _ { 2 } \\- 0101 _ { 2 } \\\hline\end{array}$

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

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. - $\begin{array} { r } 1011 _ { 2 * } \\+ 0101 _ { 2 } * \\\hline\end{array}$

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

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

Exam 2: Binary Numbers

Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 10002∗+01102∗\begin{array}{r}1000_{2}^{*} \\+0110_{2}^{*} \\\hline\end{array}10002∗​+01102∗​​​

Use long division to convert each decimal fraction into a binary expansion. - 16\frac { 1 } { 6 }61​

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. - 11102∗+10112∗\begin{array} { r } 1110 _ { 2 } * \\+ 1011 _ { 2 } * \\\hline\end{array}11102​∗+10112​∗​​

Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - 001001102∗00100110 _ { 2 * }001001102∗​

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. - 11001011211001011 _ { 2 }110010112​

Add the following binary numbers. - 10112+11012\begin{array}{r}1011_{2} \\+1101_{2} \\\hline\end{array}10112​+11012​​​

Multiply each pair of binary numbers. - 11102×102\begin{array} { r } 1110 _ { 2 } \\\times \quad 10 _ { 2 } \\\hline\end{array}11102​×102​​​

Use long division to convert each decimal fraction into a binary expansion. - 916\frac { 9 } { 16 }169​

Simplify each of the following by using long division. - 110002÷11211000 _ { 2 } \div 11 _ { 2 }110002​÷112​

Perform the following binary subtractions. - 10102−01012\begin{array} { r } 1010 _ { 2 } \\- 0101 _ { 2 } \\\hline\end{array}10102​−01012​​​

Add the following binary numbers. - 100101012+110100102\begin{array} { r } 10010101 _ { 2 } \\+ 11010010 _ { 2 } \\\hline\end{array}100101012​+110100102​​​