=====Finding the parity of a number=====

//by Richard Russell, March 2014//\\ \\  The **parity** of an integer is determined by the number of set (i.e. **1**) bits in its binary representation. If there are an even number of set bits the parity is **even** and if there are an odd number of set bits the parity is **odd**. So for example %00100000 has odd parity and %00100010 has even parity.\\ \\  The function below can be used to discover the parity of a 32-bit integer, it returns 0 for even parity and 1 for odd parity:\\ 
<code bb4w>
        DEF FNparity(X%)
        X% EOR= X% >> 1
        X% EOR= X% >> 2
        X% EOR= X% >> 4
        X% EOR= X% >> 8
        X% EOR= X% >> 16
        = X% AND 1 
</code>
An equivalent function for 64-bit integers is as follows:\\ 
<code bb4w>
        DEF FNparity(X%%)
        X%% EOR= X%% >> 1
        X%% EOR= X%% >> 2
        X%% EOR= X%% >> 4
        X%% EOR= X%% >> 8
        X%% EOR= X%% >> 16
        X%% EOR= X%% >> 32
        = X%% AND 1 
</code>