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Recent questions tagged floating-point-representation

Recent questions tagged floating-point-representation
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GATE1989-1-vi
It would be helpful if you provide me the solution. i'm not able to understand the solution which is given in go site. please provide me detailed explanation GATE1989-1-vi Consider an excess - 50 representation for floating point ... digit exponent in normalised form. The minimum and maximum positive numbers that can be represented are __________ and _____________ respectively.
varunraj asked in Digital Logic Apr 20, 2020
by varunraj
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GATE2017-2-12 Video Solution
Given the following binary number in $32$-bit (single precision) $IEEE-754$ format : $\large 00111110011011010000000000000000$ The decimal value closest to this floating-point number is : $1.45*10^1$ $1.45*10^{-1}$ $2.27*10^{-1}$ $2.27*10^1$
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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0 answers 30 views
GATE2003-43 Video Solution
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 Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. ... between two successive real numbers representable in this system? $2^{-40}$ $2^{-9}$ $2^{22}$ $2^{31}$
admin asked in Digital Logic Apr 18, 2020
by admin
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GATE2005-85-a Video Solution
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): 0D 24 0D 4D 4D 0D 4D 3D
admin asked in Digital Logic Apr 18, 2020
by admin
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0 answers 21 views
GATE2008-4 Video Solution
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 $+0$
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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GATE1990-1-iv-a Video Solution
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 ___________
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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GATE2008-IT-7 Video Solution
The following bit pattern represents a floating point number in IEEE $754$ single precision format $1 \ 10000011 \ 101000000000000000000000$ The value of the number in decimal form is $-10$ $-13$ $-26$ None of the above
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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0 answers 13 views
GATE2005-85-b Video Solution
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: $0A\;20$ $11\;34$ $49\;D0$ $4A\;E8$
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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GATE1987-1-vii Video Solution
The exponent of a floating-point number is represented in excess-N code so that: The dynamic range is large. The precision is high. The smallest number is represented by all zeros. Overflow is avoided.
admin asked in Digital Logic Apr 18, 2020
by admin
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GATE1989-1-vi Video Solution
Consider an excess - 50 representation for floating point numbers with $4 BCD$ digit mantissa and $2 BCD$ digit exponent in normalised form. The minimum and maximum positive numbers that can be represented are __________ and _____________ respectively.
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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0 answers 29 views
GATE1990-1-iv-b Video Solution
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 ___________, if the scale factor is represented in excess-64 format.
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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GATE1997-72 Video Solution
Following floating point number format is given $f$ is a fraction represented by a $6-bit$ mantissa (includes sign bit) in sign magnitude form, $e$ is a $4-bit$ exponent (includes sign hit) in sign magnitude form and $n=(f, e) = f. 2^e$ is ... addition of $A$ and $B.$ What is the percentage error (up to one position beyond decimal point) in the addition operation in (b)?
admin asked in Digital Logic Apr 18, 2020
by admin
589 points
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