hw6 - ignore overflow The output should be a 4-bit number...

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Homework six EECS 203 Due 15 May 2009 1. (20 pts.) Design of a special ALU Ms. Xin needs a special arithmetic unit for her work. She has to perform one of several operations on two 3-bit 2’s complement numbers and she needs a circuit which can do this for him depending on her choice of actions. For the 2 numbers A and B (3 bit each), she would like to perform the following operations: (a) A + B (b) A - B (c) 2A (d) A + 2B Design a circuit using MUXs, AND gates, inverters and only one 4-bit ripple- carry adder assuming that the four choice above are used as Control Inputs (2 bits) with encodings 00, 01, 10, and 11 in that order respectively. You may
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Unformatted text preview: ignore overflow. The output should be a 4-bit number. 2. (20 pts.) Dijkstra proposed a way to extend the GCD computer of Euclid to compute the Least Common Multiple (LCM) of two numbers. His recipe is as follows. Intially, the input number a is given to x and u ; the other number b is given to y and v . x = IF x > y THEN x-y ELSE x y = IF y > x THEN y-x ELSE y u = IF x > y THEN u + v ELSE u v = IF y > x THEN v + u ELSE v When x = y , the ( u + v ) / 2 will be the LCD of a and b . Please extend our GCD circuit for 3-bit numbers to an LCM circuit for 3-bit numbers. 1...
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