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finding_20the_20parity_20of_20a_20number

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finding_20the_20parity_20of_20a_20number [2018/03/31 13:19] 127.0.0.1 external edit |
finding_20the_20parity_20of_20a_20number [2018/04/17 16:13] (current) tbest3112 Added syntax highlighting |
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//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:\\ | //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%) | DEF FNparity(X%) | ||

X% EOR= X% >> 1 | X% EOR= X% >> 1 | ||

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X% EOR= X% >> 16 | X% EOR= X% >> 16 | ||

= X% AND 1 | = X% AND 1 | ||

+ | </code> | ||

An equivalent function for 64-bit integers (//BBC BASIC for Windows// version 6 only) is as follows:\\ | An equivalent function for 64-bit integers (//BBC BASIC for Windows// version 6 only) is as follows:\\ | ||

+ | <code bb4w> | ||

DEF FNparity(X%%) | DEF FNparity(X%%) | ||

X%% EOR= X%% >> 1 | X%% EOR= X%% >> 1 | ||

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X%% EOR= X%% >> 32 | X%% EOR= X%% >> 32 | ||

= X%% AND 1 | = X%% AND 1 | ||

+ | </code> |

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