Deck 2: Binary Numbers

Question 1

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

Answer 1

5.625

Question 2

Simplify each of the following by using long division. Some answers may have a remainder.

Answer 2

Question 3

Multiply each pair of binary numbers.

Answer 3

Question 4

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

Question 5

Simplify each of the following by using long division. Some answers may have a remainder.

Question 6

Add the following binary numbers.

Question 7

Translate each of the following decimal numbers into two's complement notation. Use an
8-bit representation.
−127

Question 8

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

Question 9

Add the following binary numbers.

Question 10

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

Question 11

Translate each of the following decimal numbers into two's complement notation. Use an
8-bit representation.
78

Question 12

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

Question 13

Multiply each pair of binary numbers.

Question 14

Find the binary equivalent for each of the following decimal numbers.
22

Question 15

Perform the following binary subtractions.

Question 16

Perform the following binary subtractions.

Question 17

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

Question 18

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

Question 19

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

Question 20

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

Question 21

Translate each of the following decimal numbers into two's complement notation. Use an
8-bit representation.
−66

Question 22

Use long division to convert each decimal fraction into a binary expansion.

Question 23

Find the binary equivalent for each of the following decimal numbers.
15.53125

Question 24

Multiply each pair of binary numbers.

Question 25

Multiply each pair of binary numbers.

Question 26

Perform the following binary subtractions.

Question 27

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

Question 28

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

Question 29

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

Question 30

Simplify each of the following by using long division. Some answers may have a remainder.

Question 31

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

Question 32

Use long division to convert each decimal fraction into a binary expansion.
Exactly how many bytes are in 256 MB?

Question 33

Use long division to convert each decimal fraction into a binary expansion.

Question 34

Perform the following binary subtractions.

Question 35

Find the binary equivalent for each of the following decimal numbers.
78

Question 36

Add the following binary numbers.

Question 37

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

Question 38

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

Question 39

Add the following binary numbers.

Question 40

Simplify each of the following by using long division. Some answers may have a remainder.

Question 41

Find the binary equivalent for each of the following decimal numbers.
125

Question 42

Use long division to convert each decimal fraction into a binary expansion.

Question 43

Use long division to convert each decimal fraction into a binary expansion.
Exactly how many bytes are in 4 GB?

Question 44

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

(a) 171
(b) 173
(c) 175
(d) 177
(e) None of these

Question 45

Add the following binary numbers.

Question 46

Use long division to convert each decimal fraction into a binary expansion.

Question 47

Add the following binary numbers.

Question 48

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

Question 49

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

Question 50

Multiply each pair of binary numbers.

Question 51

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

Question 52

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

Question 53

Find the binary equivalent for each of the following decimal numbers.
92

Question 54

Multiply each pair of binary numbers.

Question 55

Perform the following binary subtractions.

Question 56

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

(a) 12
(b) 13
(c) 14
(d) 15
(e) None of these

Question 57

Find the binary equivalent for each of the following decimal numbers.
0.6328125

Question 58

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

Question 59

Perform the following binary subtractions.

Question 60

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

Question 61

Use long division to convert each decimal fraction into a binary expansion.

Question 62

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

(a) −75
(b) 75
(c) −181
(d) 181
(e) None of these

Question 63

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

Question 64

Find the decimal equivalent for each of the following binary numbers.
111.11012
(a) 7.78125
(b) 7.8125
(c) 7.6875
(d) 7.40625
(e) None of these

Question 65

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

Question 66

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

Question 67

Simplify each of the following by using long division.

Question 68

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

Question 69

Use long division to convert each decimal fraction into a binary expansion.
Exactly how many bytes are in 64 K?
(a) 64,000
(b) 67,108,864
(c) 65,536
(d) 512
(e) None of these

Question 70

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

Question 71

Each of the following numbers are in 8-bit, two's complement notation. Translate each into
its decimal equivalent.

(a) 102
(b) −102
(c) 154
(d) −154
(e) None of these

Question 72

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

Question 73

Use long division to convert each decimal fraction into a binary expansion.

Question 74

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

(a) 0.75
(b) 0.9375
(c) 0.8125
(d) 0.875
(e) None of these

Question 75

Simplify each of the following by using long division.