QUESTION 2 (a) Show that 8-bit signed 2's complement arithmetic can be used to add (-108)10...

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QUESTION 2 (a) Show that 8-bit signed 2's complement arithmetic can be used to add (-108)10 and (-20)1o but cannot be used to add (108)10 and (20)10- (b) By using Boolean algebra, (i) simplify the following Boolean expression; ĀC+AB+ÃBC+AB.C (ii) prove that AB+A.C-AB+A.C+BC (c) Two Boolean functions are: F,(A,B,C) = AC+BC+ĀB.C and Fo(A,B,C) = BC+AB+A.BC. Map the functions into the K-maps, write suitable expressions and implement them using only two 7400 integrated circuit chips (7400 has four 2-input NAND gates). Complement of an input is not available and requires a NOT function. QUESTION 2 (a) Show that 8-bit signed 2's complement arithmetic can be used to add (-108)10 and (-20)1o but cannot be used to add (108)10 and (20)10- (b) By using Boolean algebra, (i) simplify the following Boolean expression; ĀC+AB+ÃBC+AB.C (ii) prove that AB+A.C-AB+A.C+BC (c) Two Boolean functions are: F,(A,B,C) = AC+BC+ĀB.C and Fo(A,B,C) = BC+AB+A.BC. Map the functions into the K-maps, write suitable expressions and implement them using only two 7400 integrated circuit chips (7400 has four 2-input NAND gates). Complement of an input is not available and requires a NOT function.