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Given a very tiny computer that has a word size of 6 bits

Question: Given a (very) tiny computer that has a word size of 6 bits, what are the smallest negative numbers and the largest positive numbers that this computer can represent in each of the following representations?

i) One's complement

ii) Two's complement

b) Using basic Boolean algebra identities for Boolean variablesA,B andC, prove thatABC+ABC' +AB'C +A'BC =AB +AC +BC. Please show all steps and mention the identities used.

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