sketch out the guard bits and Truncation
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Truncation
Chopping: simply drop all guard bits. We define the truncation error as: ...
Von Neumann Rounding: If at least one of the guard bits is 1, set. (no matter whether it is originally 0 or 1), otherwise do nothing. ...
Rounding: If the highest guard bit is 1 and the rest guard bits are not all 0, add 1 to LSB .
You can eliminate the possibility of overflow by appending the appropriate number of guard bits to a binary word. For a two's complement signed value, the guard bits are filled with either 0's or 1's depending on the value of the most significant bit (MSB).
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