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→Overview: Corrected a math mistake. 440400 decimal divided by 2^16 is 6.71997, not 6.71999 |
→Overview: correction since the product of 1.2 (resp. 5.6) by 2^16 is not an exact integer |
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Using [[binary scientific notation]], this will place the binary point at B16. That is to say, the most significant 16 bits represent the integer part the remainder are represent the fractional part. This means, as a signed two's complement integer B16 number can hold a highest value of <math> \approx 32767.9999847 </math> and a lowest value of −32768.0. Put another way, the B number, is the number of integer bits used to represent the number which defines its value range. Remaining low bits (i.e. the non-integer bits) are used to store fractional quantities and supply more accuracy.
For instance, to represent 1.2 and 5.6 as B16 one multiplies them by 2<sup>16</sup>, giving 78643 and 367001 as the closest integers.
Multiplying these together gives
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