# Lab04_Digital_Arithmetic_Answer1011_part_I - C D D ABC A C...

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CC2202-Computer System Architecture Lab 4 Answer Page 1 Subject : CC2202 : Computer System Architecture Lab/Tutorial : Session 4 (Answer) Digital Arithmetic Subject Lecturer : Steven Chan Digital Arithmetic 1) Example: Simplify f = X ´ Y ´ Z ´ + X Y Z + X ´ Y ´ Z + X ´ Y Z f = X’ Y’ Z’ + X’ Y’ Z +X Y Z + X’ Y Z Commutative f = X’ Y’ ( Z’ + Z) + Y Z ( X+ X’) Distributive f = X’ Y’ ( 1 ) + Y Z ( 1 ) Inverse f = X’ Y’ + Y Z Identity 2) For the expression C A ABC D z + + = a. Draw the truth table to show the output of z b. Implement it using ANDs, ORs and INVERTORs; c. Convert to all NAND gates A B

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Unformatted text preview: C D _ D ABC _ _ A C Z 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 CC2202-Computer System Architecture Lab 4 Answer Page 2 b) c) Z’ = (D’ + ABC + A’C’)’ = (D’’) (ABC + (A + C)’)’ = D (ABC)’ (A + C)’’ = D (ABC)’ [(A’C’)]’ = D (ABC)’ (A’C’)’ Z = (D (ABC)’ (A’C’)’)’ Alternative Method C A B D Z C D A B Z = itself (unchange)...
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Lab04_Digital_Arithmetic_Answer1011_part_I - C D D ABC A C...

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