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Recent questions tagged floating-point-representation

13 votes
5 answers
1
Consider three registers $R1$, $R2$, and $R3$ that store numbers in $IEEE-754$ single precision floating point format. Assume that $R1$ and $R2$ contain the values (in hexadecimal notation) $0x42200000$ and $0xC1200000$, respectively. If $R3=\frac{R1}{R2}$, what is the value stored in $R3$? $0x40800000$ $0xC0800000$ $0x83400000$ $0xC8500000$
asked Feb 12, 2020 in CO and Architecture Arjun 7.3k views
3 votes
2 answers
2
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. $2^{22}$
asked Jun 3, 2019 in CO and Architecture s_dr_13 750 views
0 votes
1 answer
3
The decimal floating point number -40.1 represented using IEEE-754 32-bit representation and written in hexadecimal form is- 0xC2006000 0xC2006666 0xC2206000 0xC2206666
asked May 7, 2019 in CO and Architecture Kuljeet Shan 544 views
0 votes
0 answers
4
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 ?
asked Feb 28, 2019 in Digital Logic syncronizing 220 views
0 votes
0 answers
5
0 votes
1 answer
6
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????
asked Jan 24, 2019 in CO and Architecture G Phalkey 156 views
0 votes
0 answers
8
.binary number 1.11111…………. are give find decimal number
asked Jan 12, 2019 in Digital Logic amit166 194 views
0 votes
0 answers
9
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 ?
asked Jan 6, 2019 in CO and Architecture kman30 111 views
0 votes
1 answer
10
1 vote
1 answer
12
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
asked Dec 24, 2018 in Digital Logic Gupta731 315 views
0 votes
1 answer
13
0 votes
0 answers
14
1 vote
0 answers
15
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…...
asked Dec 1, 2018 in CO and Architecture Shubhanshu 466 views
2 votes
1 answer
16
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
asked Nov 24, 2018 in Digital Logic kapilbk1996 770 views
0 votes
1 answer
17
$(0.5)_{10}$ 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 ??
asked Nov 11, 2018 in Digital Logic jatin khachane 1 107 views
0 votes
0 answers
18
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 ___________
asked Nov 10, 2018 in Digital Logic jatin khachane 1 227 views
0 votes
0 answers
20
0 votes
0 answers
21
$\text{Someone please explain this question, I am not able to solve it}$ https://gateoverflow.in/87053/gate1989-1-vi
asked Sep 23, 2018 in Digital Logic !KARAN 142 views
0 votes
1 answer
22
Sign extension is a step in a) floating point multiplication b) signed 16 bit integer addition c) arithmetic left shift d) converting a signed integer from one size to another
asked Sep 4, 2018 in CO and Architecture Sumit Singh Chauhan 132 views
6 votes
2 answers
24
The difference between 201 and next larger double precision number is 2$^P$. If IEEE double precision format is used then the value of P is ______________________
asked Aug 13, 2018 in Digital Logic Magma 1.1k views
0 votes
1 answer
26
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 _______________________
asked Aug 4, 2018 in CO and Architecture Anuj1995 156 views
0 votes
0 answers
27
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 smallest positive values that can be written? b. What are the largest and smallest positive values that can be written as normalized floating-point numbers?
asked Jul 23, 2018 in CO and Architecture shaz 190 views
0 votes
1 answer
28
The following is a scheme for floating point number representation using 16 bits. Bit Position 15 14 .... 9 8 ...... 0 s e m Sign Exponent Mantissa Then the floating point number represented is: (−1)s(1+m×2−9)2e−31 , if the exponent ≠111111 0, otherwise What is the minimum difference between two successive real numbers representable in this system? Any help to solve this question is appreciated.
asked Jul 20, 2018 in Digital Logic iarnav 302 views
1 vote
1 answer
29
A 32-bit floating-point number(follows IEEE STANDARD) is represented by a 8-bit signed exponent, and a 23-bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________, if the scale factor is represented in excess-64 format.
asked Jul 20, 2018 in Digital Logic iarnav 563 views
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