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ALGORITHMIC STATE
                      MACHINE
                                     1


                            RAVITESH MISHRA
                            ASSISTANT PROFESSOR

                              BCE,MANDIDEEP




Algorithmic State Machine                         4/3/2013
Algorithmic State Machine (ASM)
                             2


It is a sequential network which controls a

digital system that carries out a step-by-step

procedure or algorithm.




Algorithmic State Machine                       4/3/2013
3




 1.State Box :
 Contains output list.

 2. Decision Box :
 Condition is placed.

 3. Conditional Output
 Box : Contains
 conditional output list.

 4. ASM Block : contains
 one or more exit paths.
 Describes machine
 operation




Algorithmic State Machine   4/3/2013
ASM chart for combinational circuits
                                     4
Contains only one state box              Put each term in condition box
For Z=A+BC                               If A=1,Z=1
Put (A+BC) in one decision box & Z       If A=0 (B=0,Z=0 or
in one Conditional output box            B=1,C=0/1,z=0/1)




Algorithmic State Machine                                             4/3/2013
5

 ASM chart in
 equivalent
 form


 The other equivalent
 charts for Z=A+BC are




Algorithmic State Machine   4/3/2013
Development of ASM chart from
                state graph

                                     6
 There are two types of machines
  1. MEALY MACHINE                  2. MOORE MACHINE

 1.   MAELY MACHINE: Output is function of both input & present state


 Steps for making ASM chart
 i) Represent state by state boxes.
 ii) After each box put input in each box.
 iii) Depending on values of output the output in conditional box in
     paths where it will be “1”.
 iv) Depanding on values of input connect the path to next state box.



Algorithmic State Machine                                         4/3/2013
Example of development of ASM chart from Mealy Machine
Consider the Mealy state graph of 111 detector.
                            7




Algorithmic State Machine                        4/3/2013
8


 2. MOORE MACHINE :
 Output depends on present
 state

 Steps

 1. For each state draw
 stae box ,put output in
 state box if it is „1‟.

 2. Put input in decision
 box after each state box.

 3. Connect next state
 link by inspecting state
 graph.

 Example: Consider 111
 sequence detector.




Algorithmic State Machine    4/3/2013
Advantages of ASM chart
                                       9

 Easy to understand.
 May have one or more equivalent forms.
 Can   describe both combinational & sequential
  circuits.
 Have structured approach to visualise a sequential
  problem.




Algorithmic State Machine                             4/3/2013

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ALGORITHMIC STATE MACHINES

  • 1. ALGORITHMIC STATE MACHINE 1 RAVITESH MISHRA ASSISTANT PROFESSOR BCE,MANDIDEEP Algorithmic State Machine 4/3/2013
  • 2. Algorithmic State Machine (ASM) 2 It is a sequential network which controls a digital system that carries out a step-by-step procedure or algorithm. Algorithmic State Machine 4/3/2013
  • 3. 3 1.State Box : Contains output list. 2. Decision Box : Condition is placed. 3. Conditional Output Box : Contains conditional output list. 4. ASM Block : contains one or more exit paths. Describes machine operation Algorithmic State Machine 4/3/2013
  • 4. ASM chart for combinational circuits 4 Contains only one state box Put each term in condition box For Z=A+BC If A=1,Z=1 Put (A+BC) in one decision box & Z If A=0 (B=0,Z=0 or in one Conditional output box B=1,C=0/1,z=0/1) Algorithmic State Machine 4/3/2013
  • 5. 5 ASM chart in equivalent form The other equivalent charts for Z=A+BC are Algorithmic State Machine 4/3/2013
  • 6. Development of ASM chart from state graph 6 There are two types of machines 1. MEALY MACHINE 2. MOORE MACHINE 1. MAELY MACHINE: Output is function of both input & present state Steps for making ASM chart i) Represent state by state boxes. ii) After each box put input in each box. iii) Depending on values of output the output in conditional box in paths where it will be “1”. iv) Depanding on values of input connect the path to next state box. Algorithmic State Machine 4/3/2013
  • 7. Example of development of ASM chart from Mealy Machine Consider the Mealy state graph of 111 detector. 7 Algorithmic State Machine 4/3/2013
  • 8. 8 2. MOORE MACHINE : Output depends on present state Steps 1. For each state draw stae box ,put output in state box if it is „1‟. 2. Put input in decision box after each state box. 3. Connect next state link by inspecting state graph. Example: Consider 111 sequence detector. Algorithmic State Machine 4/3/2013
  • 9. Advantages of ASM chart 9  Easy to understand.  May have one or more equivalent forms.  Can describe both combinational & sequential circuits.  Have structured approach to visualise a sequential problem. Algorithmic State Machine 4/3/2013