1. US 26123 Demonstrate knowledge of the practical applications of logic circuits

2. Assessment: ER 1.1 & 1.2 – written test ER 1.3 – demonstrate operations of logic gates ER 2.1 – design logic gate systems which meet given requirements ER 2.2* – design two logic gate systems that satisfy an application of your choice

3. Binary Numbers

4. “How many numbers can you count with ten fingers?”

5. Binary  Decimal Conversion 100 = 1000 = 10000 = 1011 = 101011 = 1010111 = 10001001 = 11011000 = 11100110 =

6. Binary  Decimal Conversion 100 = 4 1000 = 8 10000 = 16 1011 = 11 101011 = 43 1010111 = 87 10001001 = 137 11011000 = 216 11100110 = 230

7. Decimal  Binary Conversion 0 = 0 1 = 1 2 = 10 3 = 11 4 = 100 5 = 101 6 = 110 7 = 111 8 = 1000 Try these: 11 = 51 = 63 = 169 = 218 = 234 =

8. Decimal  Binary Conversion 0 = 0 1 = 1 2 = 10 3 = 11 4 = 100 5 = 101 6 = 110 7 = 111 8 = 1000 Try these: 11 = 1011 51 = 110011 63 = 111111 169 = 10101001 218 = 11011010 234 = 11101010

9. Bit: the smallest piece of digital information, either ‘zero’ or ‘one’. It represents a digit in a binary number. Most significant bit: the bit on the far left in a binary number. Byte: a group of bits (usually eight). It is operated on as a unit.

10. Logic Gates

11. “NOT” Gate Truth Table

12. “OR” Gate

13. “NOR” Gate

14. “XOR” Gate

15. “AND” Gate

16. “NAND” Gate

17. “Half Adder”

18. “Full Adder”

19. Draw a truth table for this circuit

20. Design a circuit using four logic gates that will give a high output when the inputs are: Input 1 = 0 Input 2 = 0 Input 3 = 1

21. ER 2.1 – Scenario 1 A car seat belt alarm has the following requirements: a)Person has to be in the driver’s seat b)The car has to be moving c)The seat belt must be connected Design a gate system using 4 gates (3 of which have to be different) that will trigger an alarm if the three variables (inputs) are not all correctly enabled. Variable 1 = there is someone in the driver’s seat Variable 2 = the car is moving Variable 3 = the seatbelt is connected

22. ER 2.1 – Scenario 2 A home security alarm system has four inputs: a)A high movement sensor b)A low movement sensor c)A smoke detector sensor d)A manual override switch Design a gate system using 4 gates (3 of which have to be different) that meets the following requirements: The alarm activates if both high and low movement sensors are triggered and the manual switch is off. The alarm activates if the smoke detector sensor is triggered and the manual switch is off.

23. ER 2.2* Design TWO different logic circuits that satisfy an application of your choice. Each circuit must use four gates (three of which must be different) For Achieved: Describe the practical application and for each circuit provide a schematic and draw the truth table. For Merit: Explain in detail how the circuits work within the practical application. (Diagrams are required.) For Excellence: Discuss the possible advantages and disadvantages of each circuit and suggest possible improvements. (To be written as a separate formal report.)