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Explain the Asynchronous Up-Down Counters?
In some applications a counter must be able to count both down and up and the circuit below is a 3-bit up-down counter. It counts down or up depending on the status of the control signals UP and DOWN When the UP input is at 1 and the DOWN input is at 0 the NAND network between FF0 and FF1 will gate the non-inverted output (Q) of FF0 into the clock input of FF1. Likewise, Q of FF1 will be gated throughout the other NAND network into the clock input of FF2, Therefore the counter will count up.
When the control input UP is at 0 and DOWN is at 1 and the inverted outputs of FF0 and FF1 are gated into the clock inputs of FF1 and FF2 respectively. If the flip-flops are primarily reset to 0's then the counter will go through the following sequence as input pulses are applied.
Q. Use (a) mesh analysis and (b) nodal analysis to determine the voltage ¯V at the terminals A-B of Figure.
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