hw1sol - ECE3060: VLSI and Advanced Digital Design Fall...

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ECE3060: VLSI and Advanced Digital Design Fall 2007 Homework #1: Solutions 1. Draw the transistor-level schematic of the following binary functions using the minimum number of transistors. Assume that the inputs are available in both true and complemented forms. (a) F = ¯ a ( ¯ b + c ) + a Minimized F = ¯ ab ¯ c (b) F = b ( ac + ¯ e ) + ¯ b ( a + ¯ cd ) + ab Minimized F = ¯ a ( ¯ b + e )( b + c + ¯ d )
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2. Use a K-map to find all minimum expressions for the following binary function. F ( a, b, c, d ) = X m (0 , 2 , 3 , 5 , 7 , 8 , 11 , 12 , 13) AB\CD 00 01 11 10 0 01011 0 10110 1 11100 1 01010 F = ¯ b ¯ cd + ab ¯ c + ¯ abd + ¯ a ¯ bc + ¯ bcd F = a ¯ c ¯ d + ab ¯ c + ¯ a ¯ b ¯ d + ¯ abd + ¯ bcd F = a ¯ cd + ¯ a ¯ b ¯ d + b ¯ cd + ¯ acd + ¯ bcd F = a ¯ cd + ¯ a ¯ b ¯ d + b ¯ cd + ¯ abd + ¯ bcd F = ¯ b ¯ c ¯ d + ab ¯ c + ¯ abd + ¯ a ¯ b ¯ d + ¯ bcd 3. Apply the mixed logic method to implement the following functions. Do not simplify the function. Assume
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hw1sol - ECE3060: VLSI and Advanced Digital Design Fall...

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