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Recent questions tagged floatingpointrepresentation
+6
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4
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1
GATE201833
Consider the unsigned 8bit fixed point binary number representation, below, $$b_7 \: \: b_6 \: \: b_5 \: \: b_4 \: \: b_3 \: \: \cdot b_2 \: \: b_1 \: \: b_0$$ where the position of the primary point is between $b_3$ ... 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
asked
Feb 14
in
Digital Logic
by
gatecse
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(
18k
points)

1.3k
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gate2018
digitallogic
numberrepresentation
floatingpointrepresentation
normal
+3
votes
2
answers
2
GATE19901ivb
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 ___________, if the scale factor is represented in excess64 format.
asked
Feb 12
in
Digital Logic
by
jothee
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98.5k
points)

153
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gate1990
descriptive
digitallogic
numberrepresentation
floatingpointrepresentation
0
votes
2
answers
3
IEEE floating Point
In IEEE floationg point representation, the hexadecimal number $0xC0000000$ corresponds to ? $3.0$ $1.0$ $4.0$ $2.0$
asked
Feb 7
in
CO & Architecture
by
AnilGoudar
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4.5k
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222
views
digitallogic
floatingpointrepresentation
ieeerepresentation
0
votes
0
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4
Floating Point
ans given= 3.75*101
asked
Jan 29
in
Digital Logic
by
srestha
Veteran
(
86.6k
points)

58
views
floatingpointrepresentation
+4
votes
0
answers
5
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
in
Digital Logic
by
Manu Thakur
Boss
(
39.6k
points)

170
views
floatingpointrepresentation
ieeerepresentation
digitallogic
+1
vote
1
answer
6
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
in
Digital Logic
by
Durgesh Singh
Junior
(
877
points)

72
views
floatingpointrepresentation
numbertheory
digitallogic
+6
votes
1
answer
7
Single Precision
The decimal value of 0.005 in single precision floating point format is __________________
asked
Jan 6
in
Digital Logic
by
srestha
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86.6k
points)

131
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ieeerepresentation
floatingpointrepresentation
+1
vote
0
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8
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
in
GATE
by
Theo
(
17
points)

133
views
ieeerepresentation
floatingpointrepresentation
coandarchitecture
+2
votes
1
answer
9
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
(
86.6k
points)

102
views
floatingpointrepresentation
ieeerepresentation
0
votes
1
answer
10
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
(
79
points)

351
views
floatingpointrepresentation
ieeerepresentation
numberrepresentation
coandarchitecture
digitallogic
+1
vote
1
answer
11
Source for learning floating point representation
asked
Oct 21, 2017
in
Others
by
Anshul Shankar
Active
(
1.1k
points)

99
views
floatingpointrepresentation
+3
votes
1
answer
12
Maximum and Minimum number in 16 bit Floating Point
asked
Sep 4, 2017
in
CO & Architecture
by
Shubhanshu
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(
15k
points)

444
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
computer
computernetworks
digitallogic
0
votes
0
answers
13
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
(
7.4k
points)

115
views
floatingpointrepresentation
0
votes
0
answers
14
programminginc numberrepresentation floatingpointrepresentation
asked
Jul 2, 2017
in
Programming
by
Veeplob Singh
(
79
points)

154
views
programminginc
numberrepresentation
floatingpointrepresentation
0
votes
1
answer
15
[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 & Architecture
by
rahul sharma 5
Boss
(
24.1k
points)

236
views
coandarchitecture
floatingpointrepresentation
ieeerepresentation
numberrepresentation
+17
votes
2
answers
16
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
(
7.5k
points)

4.6k
views
gate20172
digitallogic
numberrepresentation
floatingpointrepresentation
+12
votes
1
answer
17
Discussions on Floating Point Represenation
asked
Jan 25, 2017
in
CO & Architecture
by
pC
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(
22k
points)

600
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
numberrepresentation
+1
vote
0
answers
18
Floating Point Representation Without Normalization
asked
Jan 24, 2017
in
CO & Architecture
by
Dulqar
Active
(
2.8k
points)

209
views
floatingpointrepresentation
+1
vote
1
answer
19
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 & Architecture
by
rahul sharma 5
Boss
(
24.1k
points)

220
views
floatingpointrepresentation
ieeerepresentation
coandarchitecture
+1
vote
1
answer
20
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 & Architecture
by
Aboveallplayer
Boss
(
18.5k
points)

460
views
floatingpointrepresentation
coandarchitecture
ieeerepresentation
numberrepresentation
+1
vote
0
answers
21
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
(
13.4k
points)

245
views
floatingpointrepresentation
digitallogic
numberrepresentation
0
votes
1
answer
22
Binary Conversion
My doubt in this problem is: Here sign bit is 1 so the number is negative, so, don't we have to take 2's complement of the number 1.1111 here to get the exact number. And 2nd doubt doubt is how to take 2's complement of a fractional number, like in this case.
asked
Jan 9, 2017
in
Digital Logic
by
Lucky sunda
Active
(
4.5k
points)

121
views
madeeasytestseries
digitallogic
floatingpointrepresentation
+4
votes
2
answers
23
How to convert a Decimal Number to IEEE754 Representation ?
asked
Jan 9, 2017
in
CO & Architecture
by
Dulqar
Active
(
2.8k
points)

384
views
floatingpointrepresentation
ieeerepresentation
0
votes
1
answer
24
Computer Organization Floating Point representation
asked
Jan 4, 2017
in
CO & Architecture
by
rahul sharma 5
Boss
(
24.1k
points)

319
views
floatingpointrepresentation
ieeerepresentation
digitallogic
coandarchitecture
+3
votes
1
answer
25
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
(
40k
points)

426
views
descriptive
gate1989
digitallogic
numberrepresentation
floatingpointrepresentation
+12
votes
4
answers
26
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
(
40k
points)

1.2k
views
gate1990
descriptive
digitallogic
numberrepresentation
floatingpointrepresentation
+14
votes
1
answer
27
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 ... normalized representation of 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
(
98.5k
points)

963
views
gate2005
digitallogic
numberrepresentation
floatingpointrepresentation
normal
+9
votes
2
answers
28
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
(
40k
points)

557
views
gate1987
digitallogic
numberrepresentation
floatingpointrepresentation
0
votes
0
answers
29
Floating point number Range
32 bits single precision floating point Range: I am getting minimum positive number as =1x2^126 All 23 mantissa bits are 0's and biased exponent is 1. And maximum positive number as =(22^23)x2^127 All 23 mantissa bits are kept 1 and biased exponent is 254. Please confirm!
asked
Oct 18, 2016
in
Digital Logic
by
Vijay Thakur
Boss
(
17.1k
points)

311
views
digitallogic
numberrepresentation
floatingpointrepresentation
0
votes
0
answers
30
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
(
11.5k
points)

140
views
floatingpointrepresentation
digitallogic
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