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the last couple of videos in this playlist showed that when the sound bit was Zero as shown here we had these boundary patterns representing the numbers from zero to plus 127. the twoamp;#39;s complement of this is shown here and this represents minus one I can now take the twoamp;#39;s complement of the remaining patterns shown here and you can see the errors appears here we also found out that there was another binary pattern left over and that is shown here and this boundary pattern represents minus 128. consider this number line the number ranges from zero to plus 127 when the sign bit is zero that range accounts for 128 binary pattern combinations the number ranges from -1 to minus 128 when the sign bit is a one that accounts for 128 combinations