Examsnet
Unconfined exams practice
Home
Exams
Banking Entrance Exams
CUET Exam Papers
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exam Practice
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
SET Exams(State Eligibility Test)
UPSC Entrance Exams
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Careers
Contact Us
Our Apps
Privacy
Test Index
GATE Computer Science (CS) 2018 Shift 1 Solved Paper
Show Para
Hide Para
Share question:
© examsnet.com
Question : 49
Total: 65
Consider the unsigned 8-bit fixed point binary number representation below :
b
1
b
6
b
5
b
4
b
3
⋅
b
2
b
1
b
0
Where the position of the binary point is between
b
3
and
b
2
.
Assume
b
7
is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the abo' representation: i. 31.500 ii. 0.875 iii. 12.100 iv. 3.001
Which one of the following statements is true?
None of (i), (ii), (iii), (iv) can be exactly represented.
Only (ii) cannot be exactly represented.
Only (iii) and (iv) cannot be exactly represented.
Only (i) and (ii) cannot be exactly represented.
Validate
Solution:
Binary code:
(
b
,
b
6
b
5
b
4
b
3
⋅
b
2
b
1
b
0
)
2
(
31.5
)
10
=
(
11111.1
)
2
(
0.875
)
10
=
(
0.111
)
2
(
12.100
)
10
=
(
01100.000110
.
.
.
.
.
.
)
2
Only 3 bits of fraction space available. So can't be stored.
(
3.001
)
10
=
(
00011.000000
.
.
.
.
.
.
.
.
.
)
2
It is also not accurate storage.
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
Prev Question
Next Question