Number Systems. All workings must be shown, i.e, answers extracted straight from a calculator will gain no marks. (a) Given the following numbers in decimal: A=133, B=-270, C=213: i.Convert each number to two's complement binary. ii.Perform the operations A+B and A+C using two's complement representation. iI.Convert the numbers A+B and A+C obtained in Part (i) from two's complement binary to decimal and show that the results in Part (ii) are correct. iv.Determine the minimum number of bits necessary such that the numbers A, B and C and the sums A+B and A+C are represented correctly using two's complement. Justify your answer, Perform the following number representation conversions: 59610 \Rightarrow \text { hexadecimal } \mathrm{EF} 9_{16} \quad \Rightarrow \quad \text { decimal } \text { AABBCCDD }_{16} \quad \Rightarrow \quad \text { octal } 33_{3} \Rightarrow \text { decimal }

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