Ram IC showing continuity from Vcc to Ground but only with black probe on VCC and red on ground pin and only in circuit. Not sure what this means?
Chances are you've encountered the ESD protection network in the integrated circuit. Many integrated circuits, especially ones based on CMOS technology, are extremely sensitive to electrostatic discharge. This is especially severe on input pins, where the pin is connected directly to the gate of an input transistor, since charge buildup threatens the very thin oxide layer under that gate.
In order to mitigate this risk, most pins are clamped to the voltage rails using a pair of diodes, for example shown in this datasheet:
Another example from the 4071 datasheet1:
If the gate voltage goes above VDD (the equivalent of VCC for CMOS circuits), the upper diode conducts, and likewise if the gate voltage goes below VSS (i.e. ground), the lower diode conducts.
When you perform a continuity test across all the supply pins in the manner you described, you see continuity from VSS to VDD, since all of these protection diodes are conducting in parallel through every pin's protection circuit. This is one of the reasons why reverse polarity is so destructive to CMOS chips, and likewise, it's the reason why it's possible to (partially, unreliably, and at high risk) power or backfeed a chip through its supply pins.
Chances are, if you perform a diode test with your multimeter, you'll see 1.2-1.4 V or so (i.e. two silicon diode drops).
1 There's a fun bit of trivia with the dashed line - rather than two diodes, there's actually a single diode distributed over the whole resistor.