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Recent questions tagged floating-point-representation

5 votes

2 answers

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GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 61
According to the IEEE standard, a 32-bit, single-precision, floating-point number $N$ is defined to be $ N=(-1)^S \times 1 . F \times 2^{E-127} $ where $S$ is the sign bit, $F$ the fractional mantissa, and $E$ the biased exponent. A floating- ... $\left(1-2^{-23}\right) * 2^{128}$ $\left(1+\left(1-2^{-23}\right)\right) * 2^{128}$

GO Classes asked in Digital Logic Feb 5

525 views

0 votes

1 answer

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Best Open Video Playlist for Floating Point Representation Topic | Digital Logic
Please list out the best free available video playlist for Floating Point Representation Topic from Digital Logic as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO ... ones are more likely to be selected as best. For the full list of selected videos please see here

makhdoom ghaya asked in Study Resources Aug 15, 2022

by makhdoom ghaya

512 views

1 vote

2 answers

3

Floating point representation
What is the 16 bits pattern which represent (-13.5) in normalized signed magnitude fraction . S = 1 bit , Exponent = 7 bits , Mantissa = 8 bits . Represent it in hexadecimal also.

Manisha Jaishwal asked in Digital Logic Jul 16, 2022

by Manisha Jaishwal

1.3k views

1 vote

1 answer

4

Pearson Gate 2022 CSE , Computer Organization and Architecture, Chapter 2 , Question 17, Page 2.28
What will be the answer to the following question?

Agrek11 asked in CO and Architecture Oct 5, 2021

1.1k views

27 votes

4 answers

5

GATE CSE 2020 | Question: 29
Consider three registers $R1$, $R2$, and $R3$ that store numbers in $\textsf{IEEE-754}$ single precision floating point format. Assume that $R1$ and $R2$ contain the values (in hexadecimal notation) $\textsf{0x42200000}$ ... what is the value stored in $R3$? $\textsf{0x40800000}$ $\textsf{0xC0800000}$ $\textsf{0x83400000}$ $\textsf{0xC8500000}$

Arjun asked in Digital Logic Feb 12, 2020

by Arjun

18.2k views

8 votes

4 answers

6

ISRO2020-5
An array of $2$ ...

Satbir asked in CO and Architecture Jan 13, 2020

by Satbir

3.7k views

7 votes

3 answers

7

IEEE 754 Standard
In IEEE $754$ single floating point format, how many numbers can be represented in the interval [10, 16)? A. $2^{21}$ B. $3 * 2^{21}$ C. $5 * 2^{21}$ D. $2^{22}$

s_dr_13 asked in Digital Logic Jun 3, 2019

2.1k views

0 votes

0 answers

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next larger double precision number is 2P
The difference between 201 and next larger double precision number is 2P , if IEEE double precision format is used then the value of P is ________. what is next larger precision number here ?

syncronizing asked in Digital Logic Feb 28, 2019

by syncronizing

505 views

0 votes

1 answer

9

SELF DOUBT
In Single Precision floating point number when E=0 and M not equals to 0 it represents a fractional form..(BiAS=+127) when writing the decimal form why do we right (-1)^S * (1.M) * 2^(-126) instead of (-1)^S * (1.M) * 2^(-127)??

DIYA BASU asked in Digital Logic Feb 10, 2019

478 views

0 votes

0 answers

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IEEE smallest difference
What is the minimum difference between two successive real numbers representable in this system?

Balaji Jegan asked in Digital Logic Jan 28, 2019

by Balaji Jegan

1.5k views

0 votes

1 answer

11

confusion
Bias formula for floating point representation is 2^k-1 bias formula for IEEE floating point representation is 2^(k-1)-1 Is it right????

G Phalkey asked in Digital Logic Jan 24, 2019

643 views

2 votes

1 answer

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single precision number Made easy CBT 2019
how to solve this

Raja Rawal asked in Digital Logic Jan 14, 2019

970 views

1 vote

0 answers

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#digital
.binary number 1.11111…………. are give find decimal number

amit166 asked in Digital Logic Jan 12, 2019

634 views

0 votes

1 answer

14

ACE Test Series

Shadan Karim asked in CO and Architecture Jan 6, 2019

by Shadan Karim

225 views

0 votes

1 answer

15

Self-doubt
In floating point representations , how to determine what is to be subtracted from the exponent ? In 32 bit representation, somewhere it is said to subtract 128 from the exponent, somewhere it is written 127 to be subtracted ? How to check this ?

kman30 asked in Digital Logic Jan 6, 2019

by kman30

535 views

2 votes

4 answers

16

UGC NET CSE | December 2018 | Part 2 | Question: 16
The decimal floating point number $-40.1$ represented using $\textsf{IEEE-754} \: 32$-bit representation and written in hexadecimal form is $\textsf{0x}C2206666$ $\textsf{0x}C2206000$ $\textsf{0x}C2006666$ $\textsf{0x}C2006000$

Arjun asked in Digital Logic Jan 2, 2019

by Arjun

3.5k views

2 votes

1 answer

17

Gateforum Test Series: Digital Logic - Floating Point Representation
What is the largest mantissa we can store in floating-point format if the size of the mantissa field is m-bit and exponent field is e-bit? The mantissa is normalized and has an implied $1$ in the left of the point. Normalized form of mantissa is 1.M

Gupta731 asked in Digital Logic Dec 24, 2018

885 views

0 votes

0 answers

18

Floating point
What's the funda about de-normalization? Like when to apply, when not to? What do we exactly infer from 'number in the denormal form'? Ex: +6.25 stored as 0 1001 10010 (S BE M) While reporting value, and retrieving data part, we denormalize as - ... & claim range as 1 to (2 - 2*-23). Why don't we apply de-normalization to this case while reporting the range?

Mayank Gupta 3 asked in CO and Architecture Dec 20, 2018

by Mayank Gupta 3

206 views

1 vote

1 answer

19

MadeEasy Test Series: Digital Logic - Floating Point Representation
Consider a modified 8-bit floating point representation in which 1-bit for sign, 3-bit for exponent and 4-bit for significant. What will be representation for decimal value –12?

naveen bhatt asked in Digital Logic Dec 10, 2018

by naveen bhatt

1.3k views

0 votes

0 answers

20

IEEE floating point representation
Can someone please help in highlighted part. Thanks

tusharp asked in Digital Logic Dec 3, 2018

879 views

1 vote

0 answers

21

IEEE 754 Implicit and Explicit 1 Representation
Represent $(2.5)_{10}$ in IEEE 754 Single precision standard: When 1 is implicit. When 1 is explicit. For the part A I am getting:- 0 100 0000 010 0000 And for part B:- 0 100 0000 1010 0000 In explicit $1$ we have to explicitly give memory to that leading $1$ and in implicit notation, we don’t allocate memory to that leading $1$. @Arjun Sir…...

Shubhanshu asked in CO and Architecture Dec 1, 2018

1.7k views

4 votes

2 answers

22

Floating point
Consider the following bit pattern represents the floating point number in IEEE 754 single precision format: 1 10000111 11100000000000000000000 Which of the following represents the decimal value of above floating number? A) -192 B) -320 C) -384 D) -448

kapilbk1996 asked in Digital Logic Nov 24, 2018

3.5k views

0 votes

2 answers

23

Shadan Karim asked in CO and Architecture Nov 23, 2018

by Shadan Karim

221 views

1 vote

1 answer

24

Self Doubt
$(0.5)_{10}$ in IEEE 754 Single precision floating point representation $(0.5)_{10}$ = $(0.1)_{2}$ here $(0.1)_{2}$ should be represented in SUBNORMAL form Or Normalized for ..??? here $(0.1)_{2}$ * 2^{0}$...E = 0 and no leading 1 ..will it be represented in SUBNORMAL form ??

jatin khachane 1 asked in Digital Logic Nov 11, 2018

by jatin khachane 1

347 views

0 votes

0 answers

25

Doubt From GO PDF
A 32-bit floating-point number is represented by a 7-bit signed exponent, and a 24-bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________

jatin khachane 1 asked in Digital Logic Nov 10, 2018

by jatin khachane 1

600 views

4 votes

1 answer

26

Gateforum Test Series: Digital Logic - Floating Point Representation

Gupta731 asked in Digital Logic Nov 9, 2018

738 views

0 votes

0 answers

27

FLOATING POINT
https://gateoverflow.in/80201/gate1987-1-vii NOT GETTING ITS ANSWER .......

eyeamgj asked in CO and Architecture Nov 6, 2018

245 views

0 votes

0 answers

28

made easy test series
Ans given is (-448). Is it correct?

amitqy asked in CO and Architecture Nov 2, 2018

by amitqy

389 views

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Recent questions tagged floating-point-representation