40 likes | 172 Views
Lab 03 :Vending Machine System :. Logic Gate Equations:. Slide #2. Vending Machine System:. Slide #3. Older Generation IC Technology:. Slide #4. NOT. Boolean Equation :. Boolean Equation :. Boolean Equation :. OR. Input A. Input A. Input A. Output X. Output X. Output X. Input B.
E N D
Lab 03 :Vending Machine System : Logic Gate Equations: Slide #2 Vending Machine System: Slide #3 Older Generation IC Technology: Slide #4
NOT Boolean Equation: Boolean Equation: Boolean Equation: OR Input A Input A Input A Output X Output X Output X Input B Boolean Equation: AND Input A Output X Input B Lab 03 : Logic Gate Equations: Each logic gate has a Boolean equation to represent its operation. Slide #2
1 Q3 1 1 1 1 Q2 P 0 1 0 Q1 C 0 L 1 1 C2 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 Lab 03 : Vending Machine System: Design a logic system for a vending machine that will dispense a 75 cent surprise gift package if any of the following conditions occur… Three quarters are inserted. A dollar is inserted. The machine can only accept quarters and a dollar coin / note. Step 1: Declare Inputs and Outputs: Inputs : Quarters (Q1, Q2, Q3). Dollar (L). Logic 1 = currency present. Outputs : Package (P). Quarter Change (C). Logic 1 = dispense item. Q1 • Q2• Q3 = + L L Step 2: Generate Equation for the system: Dispense Package if Quarter1 and Quarter2 and Quarter3 OR Dollar is inserted. Dispense change if dollar is inserted. P = Q1 • Q2• Q3 + L C = L Once the system diagram is complete it can be used to test the operation of the system. Here is what happens when someone inserts 3 quarters. Here is what happens when someone inserts a dollar. P-Term : thus : P = + L Here is what happens when someone searches their pocket finds a quarter and inserts it into the machine. Then they realize that they do not have 2 more quarters! If they insert a dollar what would be the result? Step 3: Draw the Digital System Diagram : Group variables that are ANDed together into a single block. This block is called product term (P-Term). The result: The package and the change would be dispensed. The un-happy user of the machine would have paid $1 ($1.25 - $0.25 change). To resolve this problem an extra change output could be added. Work from output towards input. P must be connected to an OR gate. Slide #3 Re-insert the P-Term (Q1 • Q2• Q3). A 3 input AND gate is required. Connect L to OR gate and connect C to L (C=L).
NOT gate OR gate AND gate Lab 03 : Older Generation IC Technology : Older generation IC technology such as TTL IC’s (transistor, transistor, logic) could often require students to interconnect 5 to 15 IC’s. The wiring would often be very complex and messy. Complex designs looked so messy that the term spaghetti factory was used to describe the appearance of the wiring. Slide #4