hw1soln - ECE 3060 VLSI and Advanced Digital Design...

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ECE 3060 VLSI and Advanced Digital Design Homework 1 Solution September 4, 2002 1. Given the function , write the truth table for , and use a Karnaugh map to reduce . 2. For each of the following functions, ±nd an expression for the complement of the function: (i) (ii) Fw x z w x y w yz wxz xyz wxy wyz ++++ +++ = F F 0000 0 0001 0 0010 1 0011 0 0100 0 0101 0 0110 1 0111 1 1000 1 1001 1 1010 1 1011 0 1100 0 1101 1 1110 0 1111 1 wxyz F 1 1 1 1 1 1 1 1 wx z w y x x z w y z ++ + = x y = fa bcd + = () a == b c + de + = b c + + ab cd e
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(iii) (iv) 3. Draw schematics for the functions in question 2 parts i and ii using only two input NAND gates, and inverters. 4. Repeat 3 using only two input NOR gates, and inverters. z uvw uxy + () xy w + = z + w + = + w ++ = w = w = zw xu w y + = x u w y u w y = wx uwy = + uw y + = a b c d f (i) f (ii) a b c e d (ii) a b c e d f f a b c d (i)
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5. Wolf 1–4. a b c in s c out XOR2:U1 XOR2:U2 N2:U3 N2:U4 N2:U5 N3:U6 FA ab c out c in s c out c in s c out c in s c out c in s Add4 c 0 c 4 s 3 s 2 s 1 s 0 b 0 a 0 b 1 a 1 b 2 a 2 b 3 a 3 FA:U3
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hw1soln - ECE 3060 VLSI and Advanced Digital Design...

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