Mixing
Single-precision floating-point format $2^{-23}$
$begingroup$
In some lecture note I saw the following :
"The distance between two consecutive mantissas is $2^{-23}$"
What can it possible mean?
numerical-methods computer-arithmetic
asked Jan 27 at 19:39
gboxgbox
5,50562262
$endgroup$
add a comment |
$begingroup$
In some lecture note I saw the following :
"The distance between two consecutive mantissas is $2^{-23}$"
What can it possible mean?
numerical-methods computer-arithmetic
asked Jan 27 at 19:39
gboxgbox
5,50562262
$endgroup$
$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03
add a comment |
$begingroup$
In some lecture note I saw the following :
"The distance between two consecutive mantissas is $2^{-23}$"
What can it possible mean?
numerical-methods computer-arithmetic
asked Jan 27 at 19:39
gboxgbox
5,50562262
$endgroup$
In some lecture note I saw the following :
"The distance between two consecutive mantissas is $2^{-23}$"
What can it possible mean?
numerical-methods computer-arithmetic
numerical-methods computer-arithmetic
asked Jan 27 at 19:39
gboxgbox
5,50562262
asked Jan 27 at 19:39
gboxgbox
5,50562262
edited Jan 27 at 21:35
gbox
asked Jan 27 at 19:39
gboxgbox
5,50562262
asked Jan 27 at 19:39
gboxgbox
5,50562262
asked Jan 27 at 19:39
gboxgbox
5,50562262
5,50562262
$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03
add a comment |
$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03
$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03
$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03
add a comment |
1 Answer
1
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$begingroup$
In single precision numbers (32 bits), they use 1 bit for sign, 8 bits for the exponent and 23 bits for the mantissa. Mantissa is a number made out from negative powers of $2$, so the smallest is $2^{-23}$. The largest mantissa is formed by 23 digits of $1$, which is about $1$
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
$endgroup$
add a comment |
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1 Answer
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active
oldest
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
In single precision numbers (32 bits), they use 1 bit for sign, 8 bits for the exponent and 23 bits for the mantissa. Mantissa is a number made out from negative powers of $2$, so the smallest is $2^{-23}$. The largest mantissa is formed by 23 digits of $1$, which is about $1$
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
$endgroup$
add a comment |
$begingroup$
In single precision numbers (32 bits), they use 1 bit for sign, 8 bits for the exponent and 23 bits for the mantissa. Mantissa is a number made out from negative powers of $2$, so the smallest is $2^{-23}$. The largest mantissa is formed by 23 digits of $1$, which is about $1$
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
$endgroup$
add a comment |
$begingroup$
In single precision numbers (32 bits), they use 1 bit for sign, 8 bits for the exponent and 23 bits for the mantissa. Mantissa is a number made out from negative powers of $2$, so the smallest is $2^{-23}$. The largest mantissa is formed by 23 digits of $1$, which is about $1$
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
$endgroup$
In single precision numbers (32 bits), they use 1 bit for sign, 8 bits for the exponent and 23 bits for the mantissa. Mantissa is a number made out from negative powers of $2$, so the smallest is $2^{-23}$. The largest mantissa is formed by 23 digits of $1$, which is about $1$
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
answered Jan 27 at 20:10
AndreiAndrei
13.2k21230
13.2k21230
add a comment |
add a comment |
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$begingroup$
Do you know what the mantissa is ?
$endgroup$
– Yves Daoust
Jan 27 at 20:03