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Recent questions tagged floatingpointrepresentation
+5
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1
DL: IEEE 754 Single Precision Range
Can someone please validate if the given range is correct, and we can keep all 0's in Mantissa unlike biased exponent.
asked
Jan 14, 2018
in
Digital Logic
by
Manu Thakur
Boss
(
43.8k
points)

348
views
floatingpointrepresentation
ieeerepresentation
digitallogic
+1
vote
0
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2
Self doubt
Why floating point in denormalized normal form has range between : $\pm1\times2^{149}$ and $\pm(1  2 ^{23})\times2^{126}$
asked
Jan 13, 2018
in
Digital Logic
by
Durgesh Singh
Junior
(
755
points)

108
views
floatingpointrepresentation
numbertheory
digitallogic
+6
votes
2
answers
3
Single Precision
The decimal value of 0.005 in single precision floating point format is __________________
asked
Jan 6, 2018
in
Digital Logic
by
srestha
Veteran
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117k
points)

199
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ieeerepresentation
floatingpointrepresentation
+1
vote
0
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4
IEEE 754 Single Precision
Question 1 (a) Convert the positive decimal number 17.45 to IEEE 754 single precision representation. Show all of your working out. [15 marks] (b) In IEEE 754 single precision, 1.25 is represented as: 0 01111111 01000000000000000000000 In IEEE 754 single ... representation of 1.26 than 1.25. [10 marks] (c) Why is the exponent biased in IEEE representation? [5 marks]
asked
Jan 5, 2018
in
GATE
by
Theo
(
11
points)

296
views
ieeerepresentation
floatingpointrepresentation
coandarchitecture
+2
votes
2
answers
5
IEEE representation
Consider the following IEEE754 single precision format 1 10101010 01010100................0 value represented by above number is _________________________
asked
Dec 31, 2017
in
Digital Logic
by
srestha
Veteran
(
117k
points)

146
views
floatingpointrepresentation
ieeerepresentation
0
votes
1
answer
6
Floating point representation
If the decimal number is 3.248 x 104 ,then its equivalent floating number in IEEE 754 standard is ?
asked
Dec 19, 2017
in
Digital Logic
by
Hitoshi
(
53
points)

900
views
floatingpointrepresentation
ieeerepresentation
numberrepresentation
coandarchitecture
digitallogic
+1
vote
1
answer
7
Source for learning floating point representation
Source for learning floating point representation
asked
Oct 21, 2017
in
Others
by
Anshul Shankar
Active
(
1k
points)

153
views
floatingpointrepresentation
+5
votes
2
answers
8
Maximum and Minimum number in 16 bit Floating Point
16 bit Floating Point Representation $(1)^{sign}*(1.M)*2^{Exp  63}$ Sign = 1 bit Exponent = 7 bit Mantissa = 8 bit 1) Max positive number 2) Min positive number. 3) Max negative number. 4) Min negative number. 5) What is meant by precision.
asked
Sep 4, 2017
in
CO and Architecture
by
Shubhanshu
Boss
(
18.2k
points)

832
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
computer
computernetworks
digitallogic
0
votes
0
answers
9
floating point representation
Consider a computer system that stores a floatingpoint numbers with 16bit mantissa and an 8bit exponent, each in two’s complement. find The smallest and largest positive values which can be stored in the system.
asked
Aug 31, 2017
in
Digital Logic
by
reena_kandari
Loyal
(
8.1k
points)

171
views
floatingpointrepresentation
0
votes
0
answers
10
programminginc numberrepresentation floatingpointrepresentation
Explain in detail how and what conversion(in binary bit pattern) takes place for following codes: 1) int i=37; float f=*(float *)&i; printf("f=%f",f); [Output:f=0.000000] 2)float f=7.0; short s=*(short *)&f; printf("s=%hd",s); [Output:s=0]
asked
Jul 2, 2017
in
Programming
by
Veeplob Singh
(
47
points)

207
views
programminginc
numberrepresentation
floatingpointrepresentation
0
votes
1
answer
11
[COA] Floating point arithmetic
IEEE 754 32 bit representation for reference: 1. For the demoralized numbers,why the exponent is 126 and not 127? For 0 we say it is Mantissa=0 and B.E=0, so we get 0*2^0127=0,but for any number that is having bias exponent ... 128) comes under overflow and underflow condition.I mean if i am 0 or infinity or NAN then can i say that system is overflow/underflow?
asked
May 22, 2017
in
CO and Architecture
by
rahul sharma 5
Boss
(
25.3k
points)

362
views
coandarchitecture
floatingpointrepresentation
ieeerepresentation
numberrepresentation
+23
votes
3
answers
12
GATE2017212
Given the following binary number in $32$bit (single precision) $IEEE754$ format : $\large 00111110011011010000000000000000$ The decimal value closest to this floatingpoint number is : $1.45*10^1$ $1.45*10^{1}$ $2.27*10^{1}$ $2.27*10^1$
asked
Feb 14, 2017
in
Digital Logic
by
khushtak
Loyal
(
7k
points)

6.9k
views
gate20172
digitallogic
numberrepresentation
floatingpointrepresentation
ieeerepresentation
+12
votes
1
answer
13
Discussions on Floating Point Represenation
Question 1 Explain What is Denormalized Number Give Example Give Representation in IEEE 754 and excess 64 (if any) Question 2 How to Convert $(12.625)_10$ $(12.625)_10 \Leftrightarrow (1100.101)_2$ to IEEE ... Precision (With Normalization) IEEE 754 Single Precision (Without Normalization) Excess64 (With Normalization) Excess64 (Without Normalization)
asked
Jan 25, 2017
in
CO and Architecture
by
pC
Boss
(
21.4k
points)

811
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
numberrepresentation
+1
vote
0
answers
14
Floating Point Representation Without Normalization
Mantissa is a pure fraction in signed magnitude form .What is the reprentation of decimal number 12.6255*102 12.6255*23 with Normalization and Without Normalization
asked
Jan 24, 2017
in
CO and Architecture
by
Dulqar
Active
(
2.5k
points)

363
views
floatingpointrepresentation
+1
vote
1
answer
15
Floating Point Representation
Are the following statements true? 1. If Biased Exponent > Bias ,then Actual exponent is +ve. 2. If Biased Exponent < Bias ,then Actual exponent is ve. Please tell reason also,as per me both should be false as Biased is already maximum ... ,adding something to it will cause overflow.So 1st should be ve and second should be +ve,Please correct if I am wrong
asked
Jan 21, 2017
in
CO and Architecture
by
rahul sharma 5
Boss
(
25.3k
points)

309
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
+1
vote
1
answer
16
Floating point number
what is the hexadecimal representation of the floating point number (48.625) in single precision, after rounding off and normalisation
asked
Jan 18, 2017
in
CO and Architecture
by
Aboveallplayer
Boss
(
18k
points)

766
views
floatingpointrepresentation
coandarchitecture
ieeerepresentation
numberrepresentation
+1
vote
0
answers
17
NUMBER SYSTEM FLOATING POINT
IN FLOATING POINT REPRESENTATION WE KNOW THAT BIAS ADDED IS THE MAXIMUM NUMBER WHICH CAN BE REPRESENTED IN 2S COMPLEMENT. Suppose exponent is represented using 8 bits, so bias added= (2^7)1=127. But the max negative number representable with 8 bits ... So how do we get postitive exponent by biassing in this case??. It sounds confusing to me. Plz resolve my confusion.
asked
Jan 12, 2017
in
Digital Logic
by
sushmita
Boss
(
17.3k
points)

307
views
floatingpointrepresentation
digitallogic
numberrepresentation
+4
votes
2
answers
18
How to convert a Decimal Number to IEEE754 Representation ?
How to represnet 1.1 using IEEE 754 Single Precision and Double Precision Number Representation . Please explain in detail
asked
Jan 9, 2017
in
CO and Architecture
by
Dulqar
Active
(
2.5k
points)

508
views
floatingpointrepresentation
ieeerepresentation
0
votes
0
answers
19
Computer Organization Floating Point representation
Its V=(1)^S...... What will be answer?I am getting 1,is it correct?
asked
Jan 4, 2017
in
CO and Architecture
by
rahul sharma 5
Boss
(
25.3k
points)

439
views
floatingpointrepresentation
ieeerepresentation
digitallogic
coandarchitecture
+5
votes
1
answer
20
GATE19891vi
Consider an excess  50 representation for floating point numbers with $4 BCD$ digit mantissa and $2 BCD$ digit exponent in normalised form. The minimum and maximum positive numbers that can be represented are __________ and _____________ respectively.
asked
Nov 27, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

850
views
descriptive
gate1989
digitallogic
numberrepresentation
floatingpointrepresentation
+13
votes
4
answers
21
GATE19901iva
A 32bit floatingpoint number is represented by a 7bit signed exponent, and a 24bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________
asked
Nov 18, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

2.4k
views
gate1990
descriptive
digitallogic
numberrepresentation
floatingpointrepresentation
+17
votes
2
answers
22
GATE200585b
Consider the following floatingpoint format. Mantissa is a pure fraction in signmagnitude form. The normalized representation for the above format is specified as follows. The mantissa has an implicit $1$ preceding the binary (radix) point. Assume that only $0's$ are padded in while shifting a field ... the above number $(0.239 \times 2^{13})$ is: $0A\;20$ $11\;34$ $49\;D0$ $4A\;E8$
asked
Nov 14, 2016
in
Digital Logic
by
jothee
Veteran
(
105k
points)

1.8k
views
gate2005
digitallogic
numberrepresentation
floatingpointrepresentation
normal
+10
votes
2
answers
23
GATE19871vii
The exponent of a floatingpoint number is represented in excessN code so that: The dynamic range is large. The precision is high. The smallest number is represented by all zeros. Overflow is avoided.
asked
Nov 8, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

1.1k
views
gate1987
digitallogic
numberrepresentation
floatingpointrepresentation
0
votes
0
answers
24
Floating point number
Is question missing some data??? i am not able to figure out the exponent
asked
Oct 12, 2016
in
Digital Logic
by
Rahul Jain25
Boss
(
11.1k
points)

169
views
floatingpointrepresentation
digitallogic
+3
votes
2
answers
25
UGCNETDec2014II09
The range of representable normalized numbers in the floating point binary fractional representation in a $32$bit word with $1$bit sign, $8$bit excess $128$ biased exponent and $23$bit mantissa is $2^{128}$ to $(12^{23}) \times 2^{127}$ $(12^{23}) \times 2^{127}$ to $2^{128}$ $(12^{23}) \times 2^{127}$ to $2^{23}$ $2^{129}$ to $(12^{23}) \times 2^{127}$
asked
Jul 18, 2016
in
Others
by
makhdoom ghaya
Boss
(
30.2k
points)

1.4k
views
ugcnetdec2014ii
digitallogic
floatingpointrepresentation
+6
votes
1
answer
26
ISRO20118
What is the decimal value of the floatingpoint number $C1D00000$ (hexadecimal notation)? (Assume $32$bit, single precision floating point IEEE representation) $28$ $15$ $26$ $28$
asked
Jun 21, 2016
in
Digital Logic
by
jothee
Veteran
(
105k
points)

3.7k
views
isro2011
digitallogic
numberrepresentation
floatingpointrepresentation
ieeerepresentation
+10
votes
2
answers
27
ISRO20151
Which of the given number has its IEEE754 32bit floating point representation as (0 10000000 110 0000 0000 0000 0000 0000) 2.5 3.0 3.5 4.5
asked
Jun 15, 2016
in
Digital Logic
by
jothee
Veteran
(
105k
points)

3.5k
views
isro2015
digitallogic
numberrepresentation
floatingpointrepresentation
ieeerepresentation
+6
votes
2
answers
28
ISRO200736
Consider a computer system that stores a floatingpoint numbers with 16bit mantissa and an 8bit exponent, each in two’s complement. The smallest and largest positive values which can be stored are $1 \times 10^{128} \text{ and } 2^{15} \times 10^{128}$ ... $1 \times 10^{128} \text{ and } 2^{15}1 \times 10^{127}$
asked
Jun 10, 2016
in
Digital Logic
by
jothee
Veteran
(
105k
points)

3k
views
isro2007
digitallogic
numberrepresentation
floatingpointrepresentation
+7
votes
4
answers
29
ISRO200823
A computer uses 8 digit mantissa and 2 digit exponent. If a=0.052 and b=28E+11 then b+ab will result in an overflow error result in an underflow error be 0 be 5.28E+11
asked
May 12, 2016
in
Digital Logic
by
cse23
Loyal
(
8.5k
points)

3.2k
views
isro2008
digitallogic
numberrepresentation
floatingpointrepresentation
+2
votes
2
answers
30
IEEE754 32bit floatingpoint representation as (0 10000000 110 0000 0000 0000 0000 0000)
asked
May 5, 2016
in
CO and Architecture
by
hemantsoni
(
21
points)

1.6k
views
floatingpointrepresentation
ieeerepresentation
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