I have an assignment due to 20th of January. could you please help with it

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Answered Same Day Dec 25, 2021

Solution

Robert answered on Dec 25 2021

139 Votes

SOLUTION
Sol1:-
STATE DIAGRAM FOR COUNTING PRIME NUMBER
NEXT STATE TABLE
PRESENT STATE NEXT STATE
QA QB QC QD QE QA QB QC QD QE
0 0 0 0 1 0 0 0 1 0
0 0 0 1 0 0 0 0 1 1
0 0 0 1 1 0 0 1 0 1
0 0 1 0 1 0 0 1 1 1
0 0 1 1 1 0 1 0 1 1
0 1 0 1 1 0 1 1 0 1
0 1 1 0 1 1 0 0 0 1
1 0 0 0 1 1 0 0 1 1
1 0 0 1 1 0 0 0 0 1
STATE TRANSITIONS J and K FLIP FLOP INPUTS
QA QB QC QD QE DA DB DC DD DE
1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0
2 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1
3 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1
5 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1
7 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1
11 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1
13 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1
17 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1
19 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1
K-MAP
i)
DA QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE
QAQB X 0 0 0 X 0 0 X
QAQB X X 0 X X 1 X X
QAQB
X X X X X X X X
QAQB
X 1 0 X X X X X
From K-map reduction DA
DA QBQC QAQD 
ii)
DB QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE
QAQB X 0 0 0 X 0 1 X
QAQB X X 1 X X 0 X X
QAQB
X X X X X X X X
QAQB

X 0 0 X X X X X
From K-map reduction DB
DB QBQC QCQD 
iii)
DC QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE
QAQB X 0 1 0 X 1 0 X
QAQB X X 1 X X 0 X X
QAQB
X X X X X X X X
QAQB

X 0 0 X X X X X
From K-map reduction DC
DC QBQC QBQCQD QAQCQDQE  
iv)
DD QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE
QAQB X 1 0 1 X 1 1 X
QAQB X X 0 X X 0 X X
QAQB
X X X X X X X X
QAQB

X 1 0 X X X X X
From K-map reduction DD
DD QCQD QBQC QDQE  
v)
DE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE QCQDQE
QAQB X 0 1 1 X 1 1 X
QAQB X X 1 X X 1 X X
QAQB
X X X X X X X X
QAQB
X 1 1 X X X X X...

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I have an assignment due to 20th of January. could you please help with it

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