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1. 2. 3. N-bit LED display, which continuously displays a light pattern using a clock syn-...

1. 2. 3. N-bit LED display, which continuously displays a light pattern using a clock syn- chronous sequential circuit. For example, a 4-bit LED pattern will be 1000 → 0100 → 0010 → 0001 → 0010 → 0100 → 1000 → 0100 ···

Design of the LED display. Design a synchronous sequential circuit that can output the 4-bit LED pattern 1000 → 0100 → 0010 → 0001 → 0010 → 0100 → 1000 → 0100 ··· Briefly justify your design methodology. Explain the design procedure, give the logic diagram, the flip-flop input equations and output equations.

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Answer #1

for 4 bit display with patterns 1000,0100,0010,0001,0010,0100,1000

state diagram:

SO/1000) s1/01001 s5/0100 s2/0010 $4/0010 s3/0001

'using binary encoding

s0=000

s5=101

state table with outputs:

here A, B, C are present state variables

An,Bn,C_n are next state variables

LED are 4 output LED's

each state represents an output pattern sequence value

- A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 A n 0 0 0 1 1 0 X x Bun 0 1 1 0 0 0 X x C_n LED3 LED2 LEDI LEDO 1 1 0

Output: An , Format: Sum of products B, C 00 01 11 10 0 0 0 1 0 i 1oxx BC+AT

Output: B0- Format: Sum of products B, C 00 01 11 10 0 0 1 0 1 1 0 0 x x o ABC+B7

Output: Cov Format: Sum of products B, C 00 01 11 10 0 1 0 0 1 1 1 0 x x

Output: [ED3 Format: Sum of products B, C 00 01 11 10 0 1 0 0 0 1 0 0 x x ABC

Output: LED2) Format: Sum of products B,C 00 01 11 10 0 0 1 0 0 1 0 1 x x

Output: LED1) Format: Sum of products B,C 00 01 11 10 0 0 0 0 1 BE+AC

Output: LEDO Format: Sum of products B, C 00 01 11 10 0 0 0 1 0 100 x x BC

design using D flip flops:

. Dieno . : 1 .. ........ LED3 :... . . . . . . . . . . . . . . . . 1 1. . 1X XX1 . . . . . YYYY V . . . . . . B . 1 ..... .

hence the final circuit is a 3 bit MOD-6 counter with each count represent an output pattern.

the output of the counter is decoded to generate the output sequence.

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