** 1-Bits in a positive int ** count the number of bits of value 1 in an integer (sign-extended for negatives, so better use positives only): ====== proc nbits n { set f [format %X $n] set res 0 foreach nybble {0 1 2 3 4 5 6 7 8 9 A B C D E F} \ bits {0 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4} { set res [expr $res+$bits*[regsub -all $nybble $f - -]] } set res } ;# RS ====== More than 30 times faster, and works for negative numbers too: ====== proc popcount { i } { # count the population of ones in the integer i set pop 0 while { $i != 0 } { incr pop set i [expr { $i & ( $i - 1 ) }] } return $pop } ;# kbk [http://titania.crd.ge.com/people/kennykb.html] ====== This one is slower than the last, but it's a one-liner: ====== proc nbits2 n { expr 0[string map {0 +0 1 +1 2 +1 3 +2 4 +1 5 +2 6 +2 7 +3 8 +1 9 +2 A +2 B +3 C +2 D +3 E +3 F +4} [format %X $n]] } ====== ** Iterate over an IP address Range ** [kbk] pasted this ====== set spec 192.168.1.0/28 regexp {(\d+)[.](\d+)[.](\d+)[.](\d+)/(\d+)} $spec -> b0 b1 b2 b3 size set quad [expr {($b0 << 24) | ($b1 << 16) | ($b2 << 8) | $b3}] for {set i 0} {$i < (1<<(32-$size))} {incr i} { set q2 [expr {$quad + $i}] set result [expr {$q2 & 0xff}] for {set j 0} {$j < 3} {incr j} { set q2 [expr {$q2 >> 8}] set result [expr {$q2 & 0xff}].$result } puts $result } ====== from a [http://paste.tclers.tk/2986%|%paste] by [kbk] ** See Also ** * [Bit Manipulations] <> Binary Data