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Data Represantation

Total questions: 84

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

State the range of positive and negative numbers that can be represented by 3-bit two's complement.

a)

-8 to 7

b)

0 to 7

c)

-4 to 3

d)

-7 to 8

2.

State the range of positive and negative numbers that can be represented by 7-bit two's complement.

a)

-127 to 128

b)

-128 to 127

c)

-64 to 63

d)

-128 to 1288

3.

what is -15 in 2's compliment

a)

1000 0000

b)

0000 1111

c)

1000 1111

d)

1111 0001

4.

What is -80 in 2's compliment

a)

1011 0000

b)

1011 0001

c)

1111 0000

d)

0101 0000

5.

What is -35 in 2's compliment

a)

000 11101

b)

1101 1101

c)

1101 1001

d)

1100 0001

6.
What is 56 in binary?
a)
10101100
b)
00101100
c)
00111000
d)
01011000
7.

What is -127 using two's complement representation?

a)

10000000

b)

01111111

c)

10000001

d)

01111110

8.

Convert -7 into binary using twos complement

a)

1001

b)

0111

c)

0000

d)

1000

9.

Convert -8 into binary using twos complement

a)

1000

b)

1110

c)

0111

d)

1001

10.

What is this UNSIGNED binary number in denary?

1110

a)

14

b)

-6

c)

-14

d)

6

11.

What is this SIGNED binary number in denary?

1100

a)

4

b)

11

c)

-4

d)

12

12.

What is this SIGNED binary number in denary?

0101

a)

-5

b)

5

c)

13

d)

12

13.

How many digits can the decimal number system use?

a)

2

b)

4

c)

10

d)

100

14.
The maximum and minimum integer in two's complement representation differs by ______.
a)
1
b)
2
c)
3
d)
4
15.

What is the 2's complement of the 5-bit binary number 11001?

a)
10110
b)
10101
c)

00111

d)
11111
16.

What is the 2's complement for the 5-bit binary number 01011?

a)
10110
b)
10101
c)
10111
d)
11111
17.

What is the 2's complement of the 5-bit binary number 00001?

a)
11001
b)
10101
c)
10111
d)
11111
18.

What is the 2's complement of the 5-bit binary number 00001?

a)
10110
b)
10101
c)
10111
d)
11111
19.
What is the 11-bit two's complement representation of -5?
a)
000 1111 1011
b)
101 1111 1101
c)
111 1011 1100
d)
111 1111 1011
20.
What is the corresponding decimal number for the 12-bit 2's complement representation of the binary number 1110 1111 1011?
a)

262

b)

261

c)
-261
d)
-262
21.
What is the corresponding decimal number for the 12-bit 2's complement representation of the binary number 1111 1000 1111?
a)

113

b)

-112

c)

-113

d)

-114

22.
What is the 16-bit 2's complement representation of the decimal number -16?
a)
1111 1111 1100 0000
b)
1111 1111 1110 0000
c)
1111 1111 1111 0000
d)
1111 1111 1111 1000
23.
What is the 16-bit 2's complement representation of the decimal number 13?
a)
0000 0000 0000 1101
b)
0000 0000 0001 1010
c)
1111 1111 1111 1011
d)
1000 0000 0000 1011
24.
What is the 16-bit 2's complement representation of the decimal number -3?
a)
0000 0000 0000 0011
b)
1000 0000 0000 0011
c)
1111 1111 1111 1011
d)

1111 1111 1111 1101

25.
What is the 16-bit 2's complement representation of the decimal number -10?
a)
0000 0000 0000 0110
b)
1000 0000 0000 0110
c)
1111 1111 1111 1011
d)

1111 1111 1111 0110

26.
What is the 16-bit 2's complement representation of the decimal number 26?
a)
0000 0000 0001 1010
b)

0000 0000 0001 1010

c)
1111 1111 1110 0110
d)
1111 1111 1110 0111
27.
What is the 16-bit 2's complement representation of the decimal number -31?
a)
0000 0000 0001 1111
b)
1000 0000 0001 1111
c)
1111 1000 0001 1111
d)
1111 1111 1110 0001
28.

Q. 

In Computer Science what is meant by the 'unsigned integers'?

a)

The set of whole numbers 0,1,2,3,...

b)

The set of positive andnegative integers ...,-2, -1, 0, 1, 2,...

c)

Integers where we don't know if they are positive or negative

29.

Choose the negative integers being represented using sign and magnitude notation.

a)

1001

b)

0101

c)

0001

30.

Identify two problems with using sign and magnitude representation for negative integers ...

a)

There are two representations for zero: 0000 and 1000

b)

Binary addition does not always give the correct answer

c)

There is a smaller upper and lower limit on the integers that can be represented

31.
Convert 65 to binary
a)
01100001
b)
00100001
c)
01000001
d)
00100101
32.
Convert 254 to binary
a)
11110000
b)
11111100
c)
11111111
d)
11111110
33.
Convert 00010001 to decimal
a)
17
b)
27
c)
37
d)
47
34.
Convert 00100100 to decimal
a)
26
b)
36
c)
46
d)
56
35.
Add binary numbers shown?
a)
01111011
b)
01101111
c)
01111101
d)
01101101
36.
Add binary numbers shown?
a)
10010000
b)
10001000
c)
10000100
d)
10100000
37.
Add binary numbers shown?
a)
01011010
b)
10011010
c)
10010101
d)
10100010
38.

1 0 1 1 0 - 1 1 0 1

a)

0 1 1 0 1

b)

1 0 0 0 1

c)

0 1 0 0 1

d)

1 1 0 0 1

39.

1 0 1 1 0 - 1 1 0 1

a)

0 0 1 1 1

b)

0 1 1 0 0

c)

0 1 0 1 0 1

d)

1 1 0 0 1

40.

what is -15 in 2's compliment

a)

1000 0000

b)

0000 1111

c)

1000 1111

d)

1111 0001

41.

What is -35 in 2's compliment

a)

000 11101

b)

1101 1101

c)

1101 1001

d)

1100 0001

42.

What is -127 using two's complement representation?

a)

10000000

b)

01111111

c)

10000001

d)

01111110

43.

Convert -8 into binary using twos complement

a)

1000

b)

1110

c)

0111

d)

1001

44.
In sign and magnitude which value represents a negative number?
a)
0
b)
1
45.
What is 1101 using two's complement?
a)
- 3
b)
- 2
c)
- 1
d)
- 4
46.
What is the sum of:
a)
11000100
b)
00110111
c)
100111010
d)
011111101
47.

what is -15 in 2's compliment

a)

1000 0000

b)

0000 1111

c)

1000 1111

d)

1111 0001

48.

What is -80 in 2's compliment

a)

1011 0000

b)

1011 0001

c)

1111 0000

d)

0101 0000

49.

What is -127 using two's complement representation?

a)

10000000

b)

01111111

c)

10000001

d)

01111110

50.

Convert -7 into binary using twos complement

a)

1001

b)

0111

c)

0000

d)

1000

51.

Convert -8 into binary using twos complement

a)

1000

b)

1110

c)

0111

d)

1001

52.

What is the result of 80 +(-10)

a)

0000 1111

b)

0100 0110

c)

0000 0110

d)

1100 0110

53.

What is the result of 64 + (-80)

a)

1011 0111

b)

1011 0010

c)

1011 0000

d)

0011 0000

54.

Computers store all data using...

a)

Binary

b)

Hexadecimal

c)

Denary

d)

Octal

55.

A byte is made up of how many binary digits?

a)

8

b)

4

c)

6

d)

12

56.
If 1 and 0 mean on and off. Is the number 1 on or off?
a)
ON
b)
OFF
57.

Add 100101 + 100010.

a)

01001111

b)

00110011

c)

01000111

d)

01100011

58.

Add 110111 + 111010.

a)

01110101

b)

01100011

c)

01110011

d)

01110001

59.

Add 1111 + 1011

a)

110101

b)

11110

c)

11011

d)

11010

60.

Add 11010010 + 00000110

a)

11010000

b)

10110100

c)

11100001

d)

11011000

61.

ADD 00000111 + 00001100 =

a)

10011

b)

110011

c)

10010011

d)

10012

62.
Convert the Hex number 1F to binary.
a)
00111111
b)
00001111
c)
00010111
d)
00011111
63.

What is the largest 2-digit hexadecimal value?

a)

FF

b)

99

c)

9F

d)

F9

64.
What number in hexadecimal comes after 7F?
a)
80
b)
8F
c)
7G
d)
8A
65.

Convert -6 into binary using twos complement

a)

0110

b)

1010

c)

1110

d)

0000

66.

What is this UNSIGNED binary number in denary?

1110

a)

14

b)

-6

c)

-14

d)

6

67.

What is this SIGNED binary number in denary?

1100

a)

4

b)

11

c)

-4

d)

12

68.

What is this SIGNED binary number in denary?

0101

a)

-5

b)

5

c)

13

d)

12

69.

How many digits can the decimal number system use?

a)

2

b)

4

c)

10

d)

100

70.

State the range of positive and negative numbers that can be represented by 3-bit two's complement.

a)

-8 to 7

b)

0 to 7

c)

-4 to 3

d)

-7 to 8

71.

1 0 0 0 0 + 1 0 1 1 0

a)

100000

b)

100110

c)

111011

d)

110110

72.

1 0 0 0 1 + 1 1 1 1

a)

100000

b)

111100

c)

011001

d)

001000

73.

1 1 1 0 0 x 1 1 0

a)

10101000

b)

10010000

c)

10011001

d)

10001100

74.

1 1 0 1 1 - 1 0 1 1

a)

11000

b)

01010

c)

11111

d)

1 0 0 0 0

75.

1 0 1 0 1 x 1 0 1

a)

1000000

b)

1101001

c)

1100101

d)

1110000

76.

1 0 1 0 1 x 1 0 1

a)

1000000

b)

1101001

c)

1100101

d)

1110000

77.

What is the point of using Binary system

a)

To make you do more math

b)

To describe astronomy

c)

To show how computers interpret electrical signals

d)

For nightmares

78.

A group of 8 bits is defined as

a)

Byte

b)

Kilo Byte

c)

Nibble

d)

Gega

79.

Convert 128 to binary

a)

10000000

b)

11111111

c)

10101010

d)

01010101

80.

Convert 11111111 to denary

a)

255

b)

256

c)

245

d)

512

81.

A Denary Number System is

a)

Special Number systems for computers

b)

Counts in dens

c)

Base 10 Number system

d)

Den Ary's number system

82.

A Nibble is

a)

4 bits

b)

40 bits

c)

1/2 bit

d)

100 bits

83.

Hexadecimal System is used in

a)

Colors Code

b)

Cooking

c)

Math

d)

All of the above

84.

Convert the Hexadecimal C9 to binary

a)

1100 1001

b)

0101 1010

c)

1111 0000

d)

0101 1010

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