# Recent questions tagged floating-point-representation 13 votes
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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) $\textsf{0x42200000}$ and $\textsf{0xC1200000},$ ... $R3$? $\textsf{0x40800000}$ $\textsf{0xC0800000}$ $\textsf{0x83400000}$ $\textsf{0xC8500000}$
3 votes
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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. $2^{22}$
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The decimal floating point number -40.1 represented using IEEE-754 32-bit representation and written in hexadecimal form is- 0xC2006000 0xC2006666 0xC2206000 0xC2206666
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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 ?
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What is the minimum difference between two successive real numbers representable in this system?
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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????
1 vote
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how to solve this
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.binary number 1.11111…………. are give find decimal number
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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 ?
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Consider the following bit pattern represents he floating point number in IEEE 754 single precision format : 1 10000111 11100000000000000000000 What is the value in Base-10 represented by above floating point number ?
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The decimal floating point number $-40.1$ represented using $IEEE-754 \: 32$-bit representation and written in hexadecimal form is $0xC2206666$ $0xC2206000$ $0xC2006666$ $0xC2006000$
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1 vote
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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
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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?
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Can someone please help in highlighted part. Thanks
1 vote
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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…...
2 votes
1 answer
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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
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$(0.5)_{10}$ 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}$...E = 0 and no leading 1 ..will it be represented in SUBNORMAL form ?? 0 votes 0 answers 19 A 32-bit floating-point number is represented by a 7-bit signed exponent, and a 24-bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________ 2 votes 1 answer 20 0 votes 0 answers 21 Ans given is (-448). Is it correct? 0 votes 0 answers 22$\text{Someone please explain this question, I am not able to solve it}$https://gateoverflow.in/87053/gate1989-1-vi 0 votes 1 answer 23 Sign extension is a step in a) floating point multiplication b) signed 16 bit integer addition c) arithmetic left shift d) converting a signed integer from one size to another 0 votes 1 answer 24 6 votes 2 answers 25 The difference between 201 and next larger double precision number is 2$^P$. If IEEE double precision format is used then the value of P is ______________________ 0 votes 0 answers 26 Ans. D 0 votes 1 answer 27 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 _______________________
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28
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?
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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.