# Recent questions tagged floating-point-representation

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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 $R3$? $0x40800000$ $0xC0800000$ $0x83400000$ $0xC8500000$
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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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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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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…...
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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}$...E = 0 and no leading 1 ..will it be represented in SUBNORMAL form ?? 0 votes 0 answers 18 A 32-bit floating-point number is represented by a 7-bit signed exponent, and a 24-bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________ 2 votes 1 answer 19 0 votes 0 answers 20 Ans given is (-448). Is it correct? 0 votes 0 answers 21$\text{Someone please explain this question, I am not able to solve it}$https://gateoverflow.in/87053/gate1989-1-vi 0 votes 1 answer 22 Sign extension is a step in a) floating point multiplication b) signed 16 bit integer addition c) arithmetic left shift d) converting a signed integer from one size to another 0 votes 1 answer 23 6 votes 2 answers 24 The difference between 201 and next larger double precision number is 2$^P$. If IEEE double precision format is used then the value of P is ______________________ 0 votes 0 answers 25 Ans. D 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 _______________________