how to add 896 using bitwise operation?












0















Question: how to express b = a + 896 ... (1), and a = b - 896 ... (2) with bitwise operation instead of addition/subtraction?





Motivation (not related to this question):



To convert between IEEE754 32-bit and 64-bit floating point's exponent value, I need to add/subtract 896, because of the equations:



127 + exponent_value = fp32_biased_exponent  // bit 30-23
1023 + exponent_value = fp64_biased_exponent // bit 62-52


Therefore b = a + 896 ... (1), and a = b - 896 ... (2).



In program it looks like this



uint64_t b = ((uint64_t)f32.biased_exponent + 896) & 0x7ff;
uint64_t a = (uint32_t)(((uint64_t)fp64.biased_exponent - 896) & 0xff;









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  • Try to have a look at stackoverflow.com/questions/15327169/…

    – Giovanni Cerretani
    Nov 13 '18 at 8:38
















0















Question: how to express b = a + 896 ... (1), and a = b - 896 ... (2) with bitwise operation instead of addition/subtraction?





Motivation (not related to this question):



To convert between IEEE754 32-bit and 64-bit floating point's exponent value, I need to add/subtract 896, because of the equations:



127 + exponent_value = fp32_biased_exponent  // bit 30-23
1023 + exponent_value = fp64_biased_exponent // bit 62-52


Therefore b = a + 896 ... (1), and a = b - 896 ... (2).



In program it looks like this



uint64_t b = ((uint64_t)f32.biased_exponent + 896) & 0x7ff;
uint64_t a = (uint32_t)(((uint64_t)fp64.biased_exponent - 896) & 0xff;









share|improve this question

























  • Try to have a look at stackoverflow.com/questions/15327169/…

    – Giovanni Cerretani
    Nov 13 '18 at 8:38














0












0








0








Question: how to express b = a + 896 ... (1), and a = b - 896 ... (2) with bitwise operation instead of addition/subtraction?





Motivation (not related to this question):



To convert between IEEE754 32-bit and 64-bit floating point's exponent value, I need to add/subtract 896, because of the equations:



127 + exponent_value = fp32_biased_exponent  // bit 30-23
1023 + exponent_value = fp64_biased_exponent // bit 62-52


Therefore b = a + 896 ... (1), and a = b - 896 ... (2).



In program it looks like this



uint64_t b = ((uint64_t)f32.biased_exponent + 896) & 0x7ff;
uint64_t a = (uint32_t)(((uint64_t)fp64.biased_exponent - 896) & 0xff;









share|improve this question
















Question: how to express b = a + 896 ... (1), and a = b - 896 ... (2) with bitwise operation instead of addition/subtraction?





Motivation (not related to this question):



To convert between IEEE754 32-bit and 64-bit floating point's exponent value, I need to add/subtract 896, because of the equations:



127 + exponent_value = fp32_biased_exponent  // bit 30-23
1023 + exponent_value = fp64_biased_exponent // bit 62-52


Therefore b = a + 896 ... (1), and a = b - 896 ... (2).



In program it looks like this



uint64_t b = ((uint64_t)f32.biased_exponent + 896) & 0x7ff;
uint64_t a = (uint32_t)(((uint64_t)fp64.biased_exponent - 896) & 0xff;






floating-point bit-manipulation ieee-754






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share|improve this question













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edited Nov 13 '18 at 4:54







Leedehai

















asked Nov 13 '18 at 4:49









LeedehaiLeedehai

1,021619




1,021619













  • Try to have a look at stackoverflow.com/questions/15327169/…

    – Giovanni Cerretani
    Nov 13 '18 at 8:38



















  • Try to have a look at stackoverflow.com/questions/15327169/…

    – Giovanni Cerretani
    Nov 13 '18 at 8:38

















Try to have a look at stackoverflow.com/questions/15327169/…

– Giovanni Cerretani
Nov 13 '18 at 8:38





Try to have a look at stackoverflow.com/questions/15327169/…

– Giovanni Cerretani
Nov 13 '18 at 8:38












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