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hw1 - that complemented inputs are not available(a F = a b...

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ECE3060: VLSI and Advanced Digital Design Fall 2006 Homework #1: due August 25, 4:30pm, COC360 1. Draw the transistor 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 (b) F = b ( ab + ¯ e ¯ b ( a + ¯ cd )) + ab 2. Use a K-map to ﬁnd all minimum expressions for the following binary function. F ( a,b,c,d ) = X m (0 , 2 , 4 , 6 , 7 , 8 , 11 , 12 , 15) 3. Apply the mixed logic method to implement the following functions. Do not simplify the function. Assume
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Unformatted text preview: that complemented inputs are not available. (a) F = a ( b + ¯ c )(¯ a + b ) using NOR2 and INV (b) F = a ¯ c + ¯ bd + b + b ¯ c using NAND2 and INV 4. Implement F using the following components: F ( a,b,c,d ) = X m (0 , 1 , 5 , 7 , 10 , 12 , 15) (a) two 3x8 decoders and gates (hint: form a 4x16 decoder ﬁrst) (b) one 8x1 multiplexor and gates (hint: your MUX input should be a function of 0, 1, and d )...
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