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adding -4 and minus 5 together will give minus nine lets look at how we can do this using the twos complement representation we will start off by looking at plus 4 in a binary byte as you can see here Ill now take the twos complement of this which is shown here and Ive highlighted the sign bits in different colors we can now derive minus five in its twos complement form as you can see appearing now we can do the same for minus nine we will now add together the minus 4 and the minus five if we add these together we know the result is going to be one as you can see here I will now continue with the addition as you can see happening now we add these up which is three which is one down carry one the carry is ignored this is the same boundary pattern as this which is the twos complement representation of -9
