Count number of bits in an integer.

This tip submitted by Anjani Kumar Mishra on 2012-04-04 07:14:45. It has been viewed 24705 times.
Rating of 5.1 with 112 votes

Here's a fast way to count the number of bits in an integer. It uses a 4 bit wide lookup table and interates through each nibble to add the number of bits set in it to the total number of bits set.

This code is a tradeoff between the two extreams: count each bit individually, or have a 232 large lookup table.


int bitcount(unsigned int num) {
     int count = 0;
     static int nibblebits[] =
          {0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4};
     for(; num != 0; num >>= 4)
          count += nibblebits[num & 0x0f];
     return count;

A possibly faster, yet less portable function is one built into GCC:

int __builtin_popcount (unsigned int x);

This function tries to use CPU specific instructions, which will always be orders of magnitude faster than any algorithm you manage to come up with.

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