This video demonstrates how to analyze asynchronous sequential circuits by deriving the transition table and output map from given excitation and output functions, where the output Y is determined by the equation Y = x1x2 + x1 + x2, and the transition table shows stable and unstable states based on the present state variables x1, x2, and Y.
Deep Dive
Prerequisite Knowledge
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Where to go next
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Deep Dive
ASC 01 ProblemAdded:
So welcome all for this digital system design module problems continuation.
So first problem sequential circuit is described the following exitation and output function.
So first draw the logic diagram of the circuit drive the transition table and the output map. So logic transition table output map.
So output map is nothing similar to that of K.
So express.
So y= x1 x2 + x1 + x2 into y is the first equation is the equation number one y + so is also equal to that of y x1 x2 same x1 x2 and y three variables.
So variable possibilities present state.
Okay. Okay. First logic.
So y1 x2 x1 x2 x1 same x1 x2 x1 x2 x1 x2 output Y X1 X2 Y.
So logic diagram express the transition table output map. Okay.
Possibilities possibilities x1 x2 y. So x1 x2 y ordering. So in the so 4 0 4 1 combination 0 0 1 1 0 0 1 1 0 1 01 combinations eight possibilities based upon that input variables. Sorry x1 x2 y.
Okay.
express.
So present state x1 x2 x1 + x2 into y + = to x1 x2 + x1 + x2 into y. So express.
So, x1 x2 x1 x2 x1 + x2 x1 + 0.
Okay.
1. So, 0 1 into 1. So 0 1 y + value 0 1 0 expression x1 into x2 + x1 uh x1 + x2 into y. So equation 0 1 0. So 0 into 1 + 0 + 1 into 0 anything 0.
Okay.
stable.
Next value.
So y + stable condition 1 unstable 0 0 stable 1 1 stable 0 stable 1 one stable 0 1 unstable one one stable stable unstable state output column output equal question Y.
So Z is equal to what? Y.
So 0 1 0ity.
So column okay let the output equal to so the next state y + values will be represented at the output column then the output column and the unstable state will be denoted as a dash so unstable state so first table output map. So translation table three y x1 x2 x1 x2 y1 x2 different x2 0 1 0 1 0.
So x1 x2 y 0 1 0 0 1 1 0 Okay.
Okay. Output map. So output mapable condition already just for some revision again I have placed here. Thank you.
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