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here we can see the sequence of binary patterns we have to represent positive values when the sign bit here is a zero so this represents plus one and if we come to the very end we can see that this represents plus 127. if I take the twoamp;#39;s complement of this pattern this is what I get and it represents minus one if I continue and take the twoamp;#39;s complement of these what youamp;#39;re going to see are the values that are appearing now on the next slide Iamp;#39;m just going to focus on these values where the sine bit is a one the pattern thatamp;#39;s appearing now is the one missing from this list in twoamp;#39;s complement arithmetic this pattern is reserved to represent minus 128. so when this sign bit is a one we can see it represents the range minus one to minus 128.