1. For a circuit having nodes and having at least one component having pins, the pins physically connected to the nodes, the pins including input pins and output pins, the input pins connected to corresponding input nodes, the output pins connected to corresponding output nodes, a method of testing the connections between the pins and their corresponding nodes, comprising the steps of: (a) determining if the connections between the input pins and the input nodes can be tested, said determining comprising the steps of: (i) determining if the output nodes exhibit activity in response to application of stimuli to the input nodes; (ii) continuing testing if any of the output nodes exhibit activity in response to application of stimuli to the input nodes; (iii) determining if each output node exhibits a signature repeated identically in response to stimuli repeated identically at the input nodes; (iv) continuing testing if each output node exhibits a signature repeated identically in response to stimuli repeated identically at the input nodes; and (b) testing for an electrically open connection between each input pin and its corresponding input node comprising the steps of: (i) applying a first stimulus to a selected input node while applying a second stimulus to the rest of the input nodes; and (ii) generating a signal indicating a possibly open connection if for every output node the response is identical to the response when the second stimulus is applied to all the input nodes.