understanding digital design the random number generator © 2014 project lead the way, inc.digital...
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Understanding Digital DesignThe Random Number Generator
© 2014 Project Lead The Way, Inc.Digital Electronics
Random Number GeneratorDigital Design - Demo
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This presentation will• Review the Board Game Counter block diagram.
• Review the circuit design of the sequential logic section of the Board Game Counter.
• Review the circuit design of the combinational logic section of the Board Game Counter.
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Random Number Generator Block Diagram
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0 0 0 1 1 1
0 1 1 0 0 1
1 0 1 0 1 0
1 2 3 4 5 6
AnalogSection
SequentialLogic
Section
CombinationalLogic
Section
The Analog Section produces a dampened square wave that “rolls” the count and slowly stops.
On every pulse of the clock, the Sequential Logic Section increments a binary count from 1 to 6, then repeats.
The Combinational Logic Section encodes the binary count into the die’s seven dots.
CLOCK
L1L2L3L4L5L6L7
A
B
C
Random Number Generator Block Diagram
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AnalogSection
CombinationalLogic
Section
The Analog Section produces a dampened square wave that “rolls” the count and slowly stops.
On every pulse of the clock, the Sequential Logic Section increments a binary count from 1 to 6, then repeats.
The Combinational Logic Section encodes the binary count into the die’s seven dots.
L1L2L3L4L5L6L7
SequentialLogic
Section
CLOCK
A
B
C
Sequential Logic Section
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Schematic Diagram
CLOCK
ABC
3-Bit Counter Default Count Range
(010 = 0002 to 710 = 1112)
Set / Reset LogicChanges Count Range(110 = 0012 to 610 = 1102)
Sequential Logic Section
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CLOCK
Functional Test (1 of 6)
Count of “1” (A=0; B=0; C=1)
Logic ‘0’Logic ‘1’
Sequential Logic Section
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CLOCK
Logic ‘0’Logic ‘1’
Sequential Logic SectionFunctional Test (2 of 6)
Count of “2” (A=0; B=1; C=0)
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CLOCK
Logic ‘0’Logic ‘1’
Sequential Logic SectionFunctional Test (3 of 6)
Count of “3” (A=0; B=1; C=1)
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CLOCK
Logic ‘0’Logic ‘1’
Sequential Logic SectionFunctional Test (4 of 6)
Count of “4” (A=1; B=0; C=0)
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CLOCK
Logic ‘0’Logic ‘1’
Sequential Logic SectionFunctional Test (5 of 6)
Count of “5” (A=1; B=0; C=1)
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CLOCK
Logic ‘0’Logic ‘1’
Sequential Logic SectionFunctional Test (6 of 6)
Count of “6” (A=1; B=1; C=0)
Random Number Generator Block Diagram
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SequentialLogic
Section
CLOCKAnalogSection
The Analog Section produces a dampened square wave that “rolls” the count and slowly stops.
On every pulse of the clock, the Sequential Logic Section increments a binary count from 1 to 6, then repeats.
The Combinational Logic Section encodes the binary count into the die’s seven dots.
CombinationalLogic
Section
L1L2L3L4L5L6L7
A
B
C
Combinational Logic Section
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ABC
Schematic Diagram
Combinational Logic Section
Note: Because L1 / L5, L2 / L6, & L3 / L7 are always on together, only one combinational logic circuit was required for each pair.
Combinational Logic Section
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Truth TableA B C L1 L2 L3 L4 L5 L6 L7
0 0 0 - - - - - - -
0 0 1 0 0 0 1 0 0 0
0 1 0 0 0 1 0 0 0 1
0 1 1 1 0 0 1 1 0 0
1 0 0 1 0 1 0 1 0 1
1 0 1 1 0 1 1 1 0 1
1 1 0 1 1 1 0 1 1 1
1 1 1 - - - - - - -
“1”
“2”
“3”
“4”
“5”
“6”
Combinational Logic Section
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Truth TableA B C L1 L2 L3 L4 L5 L6 L7
0 0 0 - - - - - - -
0 0 1 0 0 0 1 0 0 0
0 1 0 0 0 1 0 0 0 1
0 1 1 1 0 0 1 1 0 0
1 0 0 1 0 1 0 1 0 1
1 0 1 1 0 1 1 1 0 1
1 1 0 1 1 1 0 1 1 1
1 1 1 - - - - - - -
Again, note that L1 / L5, L2 / L6, & L3 / L7 have the same entries in the truth table; therefore, they are equal functions.
Combinational Logic Section
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A = 0B = 0C = 1
Logic ‘0’Logic ‘1’
Functional Test (1 of 6)
Count of “1” (A=0; B=0; C=1)
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A = 0B = 1C = 0
Logic ‘0’Logic ‘1’
Functional Test (2 of 6)
Count of “2” (A=0; B=1; C=0)
Combinational Logic Section
Combinational Logic Section
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A = 0B = 1C = 1
Logic ‘0’Logic ‘1’
Functional Test (3 of 6)
Count of “3” (A=0; B=1; C=1)
Combinational Logic Section
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A = 1B = 0C = 0
Logic ‘0’Logic ‘1’
Functional Test (4 of 6)
Count of “4” (A=1; B=0; C=0)
Combinational Logic Section
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A = 1B = 0C = 1
Logic ‘0’Logic ‘1’
Functional Test (5 of 6)
Count of “5” (A=1; B=0; C=1)
Combinational Logic Section
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A = 1B = 1C = 0
Logic ‘0’Logic ‘1’
Functional Test (6 of 6)
Count of “6” (A=1; B=1; C=0)
Combinational Logic SectionUsing LEDs
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A = 1B = 0C = 0
Shown with a count of “4” (A=1; B=0; C=0)
LED – Light Emitting Diode
Random Number Generator Digital Section
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SequentialLogic
Section
CombinationalLogic
Section
Ana
log
Sec
tion
Discussed in the previous lesson