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if you consider this binary number which Iamp;#39;ve written down here you can see every position is a zero so youamp;#39;re going to have a denory value of zero if you consider this binary number which Iamp;#39;ve written down below you can see here we have one in the four position so all of this is equal to four which Iamp;#39;ve wrote down here and this zero means we have a plus sign which you can see here if we look at this boundary pattern this tells us itamp;#39;s going to be positive the ones in these positions add up to 51 and consequently we can write the binary pattern down like this weamp;#39;ve already seen that this will give us zero if we look at this number we can see weamp;#39;ve got positive and if we add up all of the position coefficients for these numbers we get 127 so we have plus 127 so the range of numbers that can be represented is from zero to Plus 127.