fa10_hw5 Solution

# fa10_hw5 Solution - 1(20 pts Using four full adders and any...

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1. (20 pts) Using four full adders, and any combination of AND, OR, and NOT gates you wish, implement a circuit that implements the following functions for the given inputs; an example circuit layout is provided. Note that this requires 2s-complement addition. S0 S1 Cin Xi Yi Operation 0 0 1 A 1 A 0 1 1 A B' A-B 1 0 1 A B A+B+1 1 1 1 A 0 A+1 Xi = Ai Yi = S0'B' + S1'B

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2. (15 pts) Which of the following circuirts represents a stable latch for some inputs A and B? For the ones that do, identify the set and reset inputs. For the ones that do not, could you make them a stable latch by adding NOT gates? How? Clarification: You learned about the three properties of a latch in lecture. Test various initial values of Q and verify that each circuit does or does not satisfy these properties. a) Not a latch - output is a constant regardless of the inputs. Can be made a latch by adding NOT gates to the end of the AND gates, making them NAND gates and this circuit a S'R' latch. b) Not a latch - output is not latched, but follows input A. It is not possible to add NOT gates to make this a stable latch. c) Not a latch - output is not latched. Adding a NOT gate to the OR gate to form a NOR gate
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fa10_hw5 Solution - 1(20 pts Using four full adders and any...

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