The discrete-time signal hw8_1 contains a single digit dialed using the Dual-Tone Multi- Frequency (DTMF) signaling format as discussed in this module and illustrated in the figure below. Assuming that the discrete-time signal has a sampling rate of 8000 Hz, find the digit that was dialed. Please provide details on how you arrived at your answer in your assignment submission, including figures, MATLAB commands, etc. 1 4 7 * 2 5 8 0 | | 1209 Hz 1336 Hz 3 6 9 # 1477 Hz 697 Hz 770 Hz 852 Hz 941 Hz

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Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.