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Recent questions tagged floating-point-representation

4 votes
2 answers
62
How to convert a Decimal Number to IEEE754 Representation ?
How to represnet 1.1 using IEEE 754 Single Precision and Double Precision Number Representation . Please explain in detail
How to represnet 1.1 using IEEE 754 Single Precision and Double Precision Number Representation . Please explain in detail
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21 votes
4 answers
65
GATE CSE 1990 | Question: 1-iv-a
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 ex...
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22 votes
2 answers
67
GATE CSE 1987 | Question: 1-vii
The exponent of a floating-point number is represented in excess-$\text{N}$ code so that: The dynamic range is large. The precision is high. The smallest number is represented by all zeros. Overflow is avoided.
The exponent of a floating-point number is represented in excess-$\text{N}$ code so that:The dynamic range is large.The precision is high.The smallest number is represent...
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0 votes
0 answers
68
Floating point number
Is question missing some data??? i am not able to figure out the exponent
Is question missing some data??? i am not able to figure out the exponent
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10 votes
1 answer
70
ISRO2011-8
What is the decimal value of the floating-point number $C1D00000$ (hexadecimal notation)? (Assume $32$-bit, single precision floating point $\text{IEEE}$ representation) $28$ $-15$ $-26$ $-28$
What is the decimal value of the floating-point number $C1D00000$ (hexadecimal notation)? (Assume $32$-bit, single precision floating point $\text{IEEE}$ representation)$...
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13 votes
2 answers
71
ISRO2015-1
Which of the given number has its $\text{IEEE - 754}$ $32$-bit floating point representation as $\text{(0 10000000 110 0000 0000 0000 0000 0000)}$ $2.5$ $3.0$ $3.5$ $4.5$
Which of the given number has its $\text{IEEE - 754}$ $32$-bit floating point representation as $\text{(0 10000000 110 0000 0000 0000 0000 0000)}$$2.5$$3.0$$3.5$$4.5$
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7 votes
1 answer
74
ISRO2007-30
$0.75$ decimal system is equivalent to ____ in octal system $0.60$ $0.52$ $0.54$ $0.50$
$0.75$ decimal system is equivalent to ____ in octal system$0.60$$0.52$ $0.54$$0.50$
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8 votes
4 answers
75
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 ...
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2 votes
2 answers
76
IEEE-754 32-bit floating-point representation
Which of the given number has its IEEE-754 32-bit floating-point representation as $(0 \ 10000000\ 110 0000 0000 0000 0000 0000)$ a) 2.5 b) 3.0 c) 3.5 d) 4.5
Which of the given number has its IEEE-754 32-bit floating-point representation as $(0 \ 10000000\ 110 0000 0000 0000 0000 0000)$a) 2.5b) 3.0c) 3.5d) 4.5
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1 votes
0 answers
77
Aspi_R_Osa floating point doubt1.1
Solution: HOW IS THIS 0.329 calculated in BINARY?
Solution:HOW IS THIS 0.329 calculated in BINARY?
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5 votes
1 answer
78
Floating point
The decimal equivalents of $01440000$ a $32$- bit hexadecimal representation of $IEEE$ single-precision floating point number is $1.11 \times 2^{-125}$ $1.88 \times 2^{-125}$ $1.68 \times 2^{-124}$ $1.88 \times 2^{-129}$
The decimal equivalents of $01440000$ a $32$- bit hexadecimal representation of $IEEE$ single-precision floating point number is$1.11 \times 2^{-125}$$1.88 \times 2^{-125...
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5 votes
2 answers
81
32 bit floating point representation of given decimal number
32 bit floating point representation of decimal number 3.284*10^4 is (A) 010001101111110111000000000000 (B) 110001101111110111000000000000 (C) 011010101111110111000000.. (D) 11101010111110111000000..
32 bit floating point representation of decimal number 3.284*10^4 is(A) 010001101111110111000000000000(B) 110001101111110111000000000000(C) 011010101111110111000000..(D) ...
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0 votes
2 answers
83
IEEE754 For
https://gateoverflow.in/?qa=blob&qa_blobid=677596019370884012
https://gateoverflow.in/?qa=blob&qa_blobid=677596019370884012
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65 votes
9 answers
86
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...
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38 votes
2 answers
87
GATE CSE 2008 | Question: 4
In the IEEE floating point representation the hexadecimal value $0\text{x}00000000$ corresponds to The normalized value $2^{-127}$ The normalized value $2^{-126}$ The normalized value $+0$ The special value $+0$
In the IEEE floating point representation the hexadecimal value $0\text{x}00000000$ corresponds toThe normalized value $2^{-127}$The normalized value $2^{-126}$The normal...
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