Design Example “Date of Birth Problem”

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Date of Birth Design Problem

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Presentation transcript:

Design Example “Date of Birth Problem”

Combinational Logic Application Design a combinational logic circuit that has three inputs and seven outputs. As the inputs count from 000 to 111, the seven outputs will generate the required logic to display your date of birth on a seven segment display. Date of Birth 7-Segment Display Driver Logic Circuit a b c d e f g X Y Z

Circuit Inputs X Y Z 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 X Display Example: If your date of birth is July 23, 1961, the circuit will display the output shown to the right 07 23 61. The last two outputs are don’t cares.

Common Anode LED Display 1 +5 V Segment Is OFF ! Segment Is ON ! Segment Is ON ! Logic For Segment A 270 - 330

X a g f b d e c a g f b d e c a g f b d e c a g f b d e c a g f b d e X Y Z 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 X a b c d e f g Display a g f b d e c 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 a g f b d e c 1 0 0 1 1 1 1 a g f b d e c a g f b d e c 0 0 0 1 1 1 1 0 0 0 0 1 1 0 a g f b d e c 0 0 1 0 0 1 0 a g f b d e c 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 x x x x x x x x x x x x x x

0 0 0 0 0 0 1 X Y Z 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 X a b c d e f g 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 x x x x x x x Display Logic For Segment “a” X X Y Z 1 x X Z a = X Z

Boolean Equations for 7 Segments a = X Z b = X Z c = Y Z d = Y Z e = Z f = Y + Z g = X Y + Y Z

DOB 7-Segment Display Driver Circuit 7408 AND Gates 7404 Inverters 7432 OR Gates

7-Segment LED Display

Assignment Design a Date-of-Birth 7-Segment Display Driver Circuit for your birth date. Include the truth table, K-Maps & logic design. Simulate your design using circuit design software. Breadboard and test your design.