Search results for floating-point-representation / GATE Overflow for GATE CSE

65 votes

9 answers

1

GATE CSE 2003 | Question: 43
The following is a scheme for floating point number representation using $16$ bits. Let $s, e,$ and $m$ ... between two successive real numbers representable in this system? $2^{-40}$ $2^{-9}$ $2^{22}$ $2^{31}$

The following is a scheme for floating point number representation using $16$ bits.Let $s, e,$ and $m$ be the numbers represented in binary in the sign, exponent, and man...

Kathleen

18.1k views

Kathleen asked Sep 17, 2014

45 votes

4 answers

2

GATE CSE 2017 Set 2 | Question: 12
Given the following binary number in $32$-bit (single precision) $\text{IEEE-754}$ format : $\large 00111110011011010000000000000000$ The decimal value closest to this floating-point number is : $1.45*10^1$ $1.45*10^{-1}$ $2.27*10^{-1}$ $2.27*10^1$

Given the following binary number in $32$-bit (single precision) $\text{IEEE-754}$ format : $\large 00111110011011010000000000000000$Th...

khushtak

21.9k views

khushtak asked Feb 14, 2017

27 votes

4 answers

3

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

18.5k views

Arjun asked Feb 12, 2020

5 votes

2 answers

4

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

615 views

GO Classes asked Feb 5

11 votes

5 answers

5

ISRO2007-53
In the Big-Endian system, the computer stores MSB of data in the lowest memory address of data unit LSB of data in the lowest memory address of data unit MSB of data in the highest memory address of data unit LSB of data in the highest memory address of data unit

In the Big-Endian system, the computer storesMSB of data in the lowest memory address of data unitLSB of data in the lowest memory address of data unitMSB of data in the ...

go_editor

4.8k views

go_editor asked Jun 10, 2016

1 votes

2 answers

6

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

0 votes

1 answer

7

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

529 views

makhdoom ghaya asked Aug 15, 2022

30 votes

3 answers

8

GATE CSE 2005 | Question: 85-b
Consider the following floating-point format. Mantissa is a pure fraction in sign-magnitude 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 ... above number $(0.239 \times 2^{13})$ is: $0A\;20$ $11\;34$ $49\;D0$ $4A\;E8$

Consider the following floating-point format. Mantissa is a pure fraction in sign-magnitude form.The normalized representation for the above format is specified as follow...

go_editor

8.8k views

go_editor asked Nov 14, 2016

4 votes

2 answers

9

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

10

ME Test Series

Shadan Karim

231 views

Shadan Karim asked Nov 23, 2018

0 votes

1 answer

11

ACE Test Series

Shadan Karim

228 views

Shadan Karim asked Jan 6, 2019

1 votes

1 answer

12

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

39 votes

3 answers

13

GATE CSE 2005 | Question: 85-a
Consider the following floating-point format. Mantissa is a pure fraction in sign-magnitude form. The decimal number $0.239 \times 2^{13}$ has the following hexadecimal representation (without normalization and rounding off): $\text{0D 24}$ $\text{0D 4D}$ $\text{4D 0D}$ $\text{4D 3D}$

Consider the following floating-point format.Mantissa is a pure fraction in sign-magnitude form.The decimal number $0.239 \times 2^{13}$ has the following hexadecimal rep...

Kathleen

18.6k views

Kathleen asked Sep 22, 2014

1 votes

1 answer

14

Floating Point Arithmetic - Stallings 7th edition Question - 9.22
Assume that the exponent e is constrained to lie in the range 0 <= e <= X with a bias of q, that the base is b, and that the significand is p digits in length. a. What are the largest and ... that can be written? b. What are the largest and smallest positive values that can be written as normalized floating-point numbers?

Assume that the exponent e is constrained to lie in the range 0 <= e <= X with a bias of q, that the base is b, and that the significand is p digits in length.a. What ar...

shaz

1.1k views

shaz asked Jul 23, 2018

8 votes

4 answers

15

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

16

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

1 answer

17

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

550 views

kman30 asked Jan 6, 2019

8 votes

4 answers

18

ISRO2008-23
A computer uses $8$ digit mantissa and $2$ digit exponent. If $a=0.052$ and $b=28E+11$ then $b+a-b$ will : result in an overflow error result in an underflow error be $0$ be $5.28E$+$11$

A computer uses $8$ digit mantissa and $2$ digit exponent. If $a=0.052$ and $b=28E+11$ then $b+a-b$ will :result in an overflow errorresult in an underflow errorbe $0$be ...

cse23

7.6k views

cse23 asked May 12, 2016

1 votes

1 answer

19

#Number System
For a floating point representation with 64 bits in the mantissa and $12$ bits in the unbiased exponent, the number of significant digits in decimal and the maximum (positive) value of the exponent in decimal will be _______________________

For a floating point representation with 64 bits in the mantissa and $12$ bits in the unbiased exponent, the number of significant digits in decimal and the maximum (posi...

Anuj1995

638 views

Anuj1995 asked Aug 4, 2018

1 votes

2 answers

20

Computer Organization Floating Point representation
Its V=(-1)^S...... What will be answer?I am getting 1,is it correct?

Its V=(-1)^S......What will be answer?I am getting 1,is it correct?

rahul sharma 5

1.2k views

rahul sharma 5 asked Jan 4, 2017

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