Consider the following first-order, causal LTI differential system S₁ initially at rest: dx(t) dt (a) Calculate the impulse response h₁(t) of the system S₁. Sketch it for a = 2. S₁: dy(t) dt + ay(t) = - 2x(t), a>0 is real.

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Up-down counter

In digital logic and computing, a counter is a device that stores (and sometimes displays) the number of times a particular event or process has occurred, often in relationship to a clock. A sequential digital logic circuit is the most common type with an input line or clock and multiple output lines. In the binary or binary-coded decimal (BCD) number system, the values on the input line represents a number by several flip-flops connected in a cascaded manner. They are manufactured as separate integrated circuits and are widely used components in digital circuits. These are also a part of larger integrated circuits. These are a specific type of sequential circuit like registers or the value of the flip-flops serving as the output.