「IEEE754」タグアーカイブ

[Tcl] How to know decimal representation of binary float

I wrote experimental script to convert binary float to decimal.

References:
http://www.h-schmidt.net/FloatApplet/IEEE754.html

http://sandbox.mc.edu/~bennet/cs110/flt/ftod.html

set exponent 00000001
set mantissa 10001001001101110100110
 
binary scan [binary format B* $exponent] c exponent
set exponent [expr {$exponent - 127}]
 
if {$exponent <= -127} {
	set mantissa "$mantissa"
} else {
	set mantissa "1$mantissa"
}
 
set i 0
set sum 0.0
foreach b [split $mantissa {}] {
	set sum [expr {$sum + pow(2,$exponent-$i)*$b}]
	incr i
}
puts $sum
#=> 1.80555933856e-038

Decoding IEEE754 Single Precision Floating Point Number in Tcl - NaN, Infinite etc.

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Each version of Tcl recognizes big-endian IEEE754 encoded exceptional single precision floating point numbers like followings.

set exponent 00000001
set mantissa 10001001001101110100110
 
binary scan [binary format B* $exponent] c exponent
set exponent [expr {$exponent - 127}]
 
if {$exponent <= -127} {
	set mantissa "$mantissa"
} else {
	set mantissa "1$mantissa"
}
 
set i 0
set sum 0.0
foreach b [split $mantissa {}] {
	set sum [expr {$sum + pow(2,$exponent-$i)*$b}]
	incr i
}
puts $sum
#=> 1.80555933856e-038