Perfect bin mul eo float with Dec input, Tcl

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#tclsh 8.6

set v1 5.5
set v2 2

proc dec2bin i {
set B [expr {int($i) }]
set C [expr {$i - $B}]

set C [expr {abs($C)}]

#puts "$C ----1"
set result {}
set result1 {}

if {$B<0} {
set sign -
set B [expr {abs ($B)}]

#puts "$sign $B ----1"

} else {

set sign {}
#puts "$B----2"
}
while {$B > 0} {

set result [ expr { $B % 2 } ]$result
set B [expr {$B/2}]
}
while {$C<1} {

set result1 [expr {$C*2}]
#puts "$result1 "
set D [expr {int ($result1) }]

#puts "$D"

set E [expr {$result1 - $D}]

#puts "$E"
set C $E

lappend list $D
set llen [llength $list]
#puts "$llen - - - 5"
#puts "$list "

if {$C==0} {
break
}
}
return "$sign $result . $list"
}

set fn1 [dec2bin $v1]
set bf1 [ join $fn1 ""]
puts $bf1

set fn2 [dec2bin $v2]
set bf2 [ join $fn2 ""]
puts $bf2

proc exp i {
set a [split $i "."]
#puts $a
set b [llength [split [lindex $a 1] ""]]
return $b
}

set v1e [exp $bf1] 
set v2e [exp $bf2]
puts $v1e
puts $v2e
set EXP [expr $v1e + $v2e]
puts $EXP

proc man i {
set a [split $i "."]
return [join $a ""]
}

set v1m 0b[man $bf1]
set v2m 0b[man $bf2]
#set man1 0b$v1m
#set man2 0b$v2m
puts $v1m
puts $v2m

set sum 0b0
while { $v2m != 0b0 } {
set sum [expr $sum + $v1m]
set v2m [expr $v2m - 1]
}
puts $sum

proc dec2bin i {
 set res {} 
    while {$i>0} {
        set res [expr {$i%2}]$res
       set i [expr {$i/2}]
    }
    if {$res == {}} {set res 0}
    return $res
}

set mul [dec2bin $sum]
puts $mul

if { $EXP != 0 } {
set z [split $mul ""] 
puts $z
set y [expr [llength $z] - $EXP]
puts $y

set x [linsert $z $y "."]
puts $x
set mxb [join $x ""]
puts $mxb
set w [lindex [ split $mxb "."] 0]
puts $w
if { [ expr $w & 1] == 0 } {
puts even
} else {
puts odd
}
} else {
puts $mul
set w [lindex [ split $mul "."] 0]
puts $w
if { [ expr $w & 1] == 0 } {
puts even
} else {
puts odd
}
}

[ + ] Show input
Absolute running time: 0.21 sec, cpu time: 0.02 sec, memory peak: 5 Mb, absolute service time: 0,33 sec