Recent questions tagged floating-point-representation / GATE Overflow for GATE CSE

5 votes

2 answers

1

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- ... $\left(1-2^{-23}\right) * 2^{128}$ $\left(1+\left(1-2^{-23}\right)\right) * 2^{128}$

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,...

GO Classes

605 views

GO Classes asked Feb 5

0 votes

1 answer

2

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

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 ...

makhdoom ghaya

526 views

makhdoom ghaya asked Aug 15, 2022

1 votes

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.

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 hexadeci...

Manisha Jaishwal

1.4k views

Manisha Jaishwal asked Jul 16, 2022

1 votes

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?

What will be the answer to the following question?

Agrek11

1.1k views

Agrek11 asked Oct 5, 2021

11 votes

1 answer

5

GATE Overflow Test Series | Mock GATE | Test 5 | Question: 14
Professor Vijay was playing with floating point representation and he used IEEE-$754$ single precision representation for $4$ byte integers as both takes $4$ bytes of memory. For which of the following numerical values can he expect to get an output difference due ... the appropriate choices) $-2^{24}+1$ $-2^{30}$ $2^{30}-1$ $2^{20}-1$

Professor Vijay was playing with floating point representation and he used IEEE-$754$ single precision representation for $4$ byte integers as both takes $4$ bytes of mem...

gatecse

688 views

gatecse asked Feb 8, 2021

27 votes

4 answers

6

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 $R3$? $\textsf{0x40800000}$ $\textsf{0xC0800000}$ $\textsf{0x83400000}$ $\textsf{0xC8500000}$

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 valu...

Arjun

18.4k views

Arjun asked Feb 12, 2020

8 votes

4 answers

7

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

An array of $2$ two byte integers is stored in big endian machine in byte addresses as shown below. What will be its storage pattern in little endian machine ?$$\begin{ar...

Satbir

3.8k views

Satbir asked Jan 13, 2020

7 votes

3 answers

8

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. $2^{22}$

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. $5 * 2^{21}$ ...

s_dr_13

2.1k views

s_dr_13 asked Jun 3, 2019

0 votes

0 answers

9

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 ?

The difference between 201 and next larger double precisionnumber is 2P, if IEEE double precision format is used then thevalue of P is ________.what is next larger precis...

syncronizing

511 views

syncronizing asked Feb 28, 2019

0 votes

1 answer

10

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)??

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...

DIYA BASU

489 views

DIYA BASU asked Feb 10, 2019

0 votes

0 answers

11

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

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

Balaji Jegan

1.5k views

Balaji Jegan asked Jan 28, 2019

0 votes

1 answer

12

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????

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

G Phalkey

664 views

G Phalkey asked Jan 24, 2019

2 votes

1 answer

13

single precision number Made easy CBT 2019
how to solve this

how to solve this

Raja Rawal

972 views

Raja Rawal asked Jan 14, 2019

1 votes

0 answers

14

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

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

amit166

637 views

amit166 asked Jan 12, 2019

0 votes

1 answer

15

ACE Test Series

Shadan Karim

228 views

Shadan Karim asked Jan 6, 2019

0 votes

1 answer

16

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 ?

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 e...

kman30

543 views

kman30 asked Jan 6, 2019

2 votes

4 answers

17

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 $\textsf{0x}C2206666$ $\textsf{0x}C2206000$ $\textsf{0x}C2006666$ $\textsf{0x}C2006000$

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{0...

Arjun

3.5k views

Arjun asked Jan 2, 2019

2 votes

1 answer

18

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

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 ...

Gupta731

888 views

Gupta731 asked Dec 24, 2018

0 votes

0 answers

19

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?

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 B...

Mayank Gupta 3

211 views

Mayank Gupta 3 asked Dec 20, 2018

1 votes

1 answer

20

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?

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 val...

naveen bhatt

1.3k views

naveen bhatt asked Dec 10, 2018

0 votes

0 answers

21

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

Can someone please help in highlighted part. Thanks

tusharp

873 views

tusharp asked Dec 3, 2018

1 votes

0 answers

22

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…...

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:-0100 0000010 0000 And for part B:-0100 000...

Shubhanshu

1.8k views

Shubhanshu asked Dec 1, 2018

4 votes

2 answers

23

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

Consider the following bit pattern represents the floating point number in IEEE 754 single precision format: 1 10000111 11100000000000000000000Which of the following repr...

kapilbk1996

3.5k views

kapilbk1996 asked Nov 24, 2018

0 votes

2 answers

24

ME Test Series

Shadan Karim

227 views

Shadan Karim asked Nov 23, 2018

1 votes

1 answer

25

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 ??

$(0.5)_{10}$ 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 fo...

jatin khachane 1

349 views

jatin khachane 1 asked Nov 11, 2018

0 votes

0 answers

26

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 ___________

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 i...

jatin khachane 1

603 views

jatin khachane 1 asked Nov 10, 2018

4 votes

1 answer

27

Gateforum Test Series: Digital Logic - Floating Point Representation

Gupta731

748 views

Gupta731 asked Nov 9, 2018

0 votes

0 answers

28

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

https://gateoverflow.in/80201/gate1987-1-viiNOT GETTING ITS ANSWER .......

eyeamgj

249 views

eyeamgj asked Nov 6, 2018

0 votes

0 answers

29

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

Ans given is (-448). Is it correct?

amitqy

386 views

amitqy asked Nov 2, 2018

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