Hot questions in Analog and Digital Electronics

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Which of the following is an invalid state in an $8$-$4$-$2$-$1$ Binary Coded Decimal counter$1$ $0$ $0$ $0$$1$ $0$ $0$ $1$$0$ $0$ $1$ $1$$1$ $1$ $0$ $0$
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A band-limited signal with a maximum frequency of $5\:kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...