ELECTRICAL TECHNOLOGY: DIGITAL ELECTRONICS
GRADE 12
NATIONAL SENIOR CERTIFICATE
MEMORANDUM
SEPTEMBER 2018
INSTRUCTIONS TO MARKERS
QUESTION 1: OCCUPATIONAL HEALTH AND SAFETY
1.1 The purpose of the Occupational Health and Safety Act is: to provide for the health and safety of persons at work and the health and safety of persons in connection with the use of plant and machinery; ✓✓ the protection of persons other than persons at work against hazards to health and safety arising out of or in connection with the activities of persons at work. ✓✓ (2)
1.2 Alternating current (AC) such as from the main supply, causes the muscles in the body to contract ✓✓ and if the current is high enough one would not be able to ‘let go’ of the live wire causing the electric shock. ✓✓Typical ‘let go’ current is about 0,007 ampere (7 milli-amp). (2)
1.3
1.4
1.5
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QUESTION 2: SWITCHING AND CONTROL CIRCUITS
2.1 2.1.1 Bi-stable multivibrator ✓ (1)
2.1.2 Op-amp operates as a comparator ✓
The non-inverting input is fed by a fraction of the output voltage fedback from the voltage divider pair of R2 and R3.✓
A capacitor cannot charge instantly. ✓ When the capacitor receives a fast step-change of voltage, both its plates immediately rise to the applied voltage. ✓ Then as it begins charging the potential on the plate further away from the applied voltage gradually falls, ✓ reaching zero when the capacitor is fully charged. ✓ (6)
2.1.3
(4)
2.2
(4)
2.3 2.3.1 555 IC Astable multivibrator-circuit ✓ (1)
2.3.2 The circuit has no stable state in which to rest, its output continually oscillates between its two extreme maximums of +V and –V. ✓
In this circuit both Trigger Pin 2 and Threshold Pin 6 are connected to the top of the timing capacitor. ✓
This allows the circuit to repeatedly re-trigger, producing a continual stream of ‘high’ and ‘low’ pulses at its output. ✓ (4)
2.4 Widely used in the first stages of many radio receivers, especially in digital applications. ✓
In digital circuitry noise is often introduced into a system via switch bounce which can cause a number of unwanted voltage spikes to appear during switching-on period. ✓
Varying input waveforms, for example a sine wave can be changed into a square or rectangular wave. ✓
A signal can be successfully recovered using a Schmitt trigger even after having suffered severe distortion as the circuit will only sense a single level change, so eliminating all other noise spikes. ✓ (4)
2.5 2.5.1 Op-amp used as a summing amplifier-audio mixer ✓(1)
2.5.2 𝑉o𝑢𝑡 = −( 𝑉1 + 𝑉2 + 𝑉3)
= −(200 × 10−3 + 250 × 10−3 + 300 × 10−3)
= −750 × 10−3 𝑉 or −0,75𝑉 (3)
2.6.1 This means that the circuit components values are large. ✓ (1)
2.6.2 In this circuit with a long time constant, a square wave would produce a long, slow triangular wave at its output. ✓(1)
2.7
(6)
2.8
(4)
2.9 Mono-stable multivibrator is the circuit that produces one pulse of a set length (time period T) ✓ in response to a trigger input such as a push button, it has one stable state. ✓ Bi-stable multivibrator is a circuit that changes states (flip) ✓ with the introduction of a trigger pulse, it has two stable states. ✓ (4)
2.10
2.10.1 Differentiator circuit ✓ (1)
2.10.2 Integrator circuit ✓ (1)
2.11 When the input is a positive-going voltage, ✓a current flows into the capacitor. ✓
The output voltage is directly proportional to the rate of change of the input voltage. ✓
The rate of change of charge is expressed as I = dQ ÷ dt amperes/second;✓ this is the mathematical expression ✓ that shows the change of charge (dQ) is being differentiated with the change in time (dt). ✓ (6)
2.12 The circuit operation relies on the charging rate of a capacitor and the resistor value. ✓✓ (2)
2.13
(4)
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QUESTION 3: SEMICONDUCTOR DEVICES
3.1 An op amp must be able to raise and lower its output voltage above and below zero. ✓
To enable an op amp to function across its entire operating range it requires a second, negative power supply voltage. ✓
This will then enable its output to either rise above 0V in a positive direction or fall to below 0V in a negative direction. ✓ (3)
3.2 The entire circuit consists of hundreds of individual components reduced to easily fit onto the end of a finger. ✓
The chip is then mounted to its 8-pin case using fine gold wire to connect each of its points to their own external lead. ✓
The black resin case gives stability and strength to the unit with the external connecting pins being large enough to withstand the heat of being soldered to a PCB without the internal chip sustaining any damage. ✓ (3)
3.3
3.4
3.5
(3)
3.6
3.6.1 𝐴𝑉= 1 + R F
𝑅𝐼𝑁
= 1 + 500 000
10 000
= 1 + 50
=51 (3)
3.6.2 Varying an input voltage will cause an output voltage swing (increase or decrease) ✓ (1)
3.7 Astable mode ✓ (1)
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QUESTION 4: DIGITAL AND SEQUENTIAL DEVICES
4.1 Common anode ✓
Common cathode ✓ (2)
4.2 Polarisation ✓ (1)
4.3
4.3.1
(4)
4.3.2
INPUTS | OUTPUTS | ||
A 0 0 1 1 | B 0 1 0 1 | SUM 0 1 1 0 | (CARRY) CO 0✓ 0✓ 0✓ 1 ✓ |
(4)
4.4 An encoder is designed to accept input data in decimal form and to convert this information into its binary form. ✓
A decoder is designed to convert a binary code into a recognisable decimal form, either as a digit or as a character. ✓ (2)
4.5 Sequential logic circuits rely on regular, ✓ clocked input pulses which cause them to operate on a step by step manner,✓relying on the flip flop as their basic operating element. ✓ (3)
4.6 4.6.1 The clocked RS Flip-Flop (Gated Latch). ✓ (1)
4.6.2
(3)
4.6.3
MODE OF OPERATION | INPUTS | OUTPUTS | ||||
CLOCK | S | R | Q | Q | ||
NO CHANGE | 0 | 0 | NO CHANGE | ✓ | ||
RESET | 0 | 1 | 0 | 1 | ✓ | |
SET | 0 | 0 | 0 | 0 | ✓ | |
HOLD | 1 | 1 | NO CHANGE | ✓ |
(4)
4.7 Asynchronous device is one that is free-running, ✓operating at its own pace ✓ and not relying on any externally added controlling pulse. ✓
Synchronous device is one that operates in step ✓with an externally added system’s clock pulses. ✓ (5)
4.8 4.8.1 Flip-flop FF0 has both of inputs J and K held permanently high ‘1’ so that it will toggle (change state) on each and every single clock pulse. ✓
FF1 will only toggle when the output Qo is high ‘1’ which is on every second clock pulse. ✓
FF2 will only become active and toggle when both outputs of the previous two stages Qo and Q1 are high ‘1’ which will be on every forth clock pulse.✓ (3)
4.8.2
clk | Q2 | Q1 | Q0 | |
0 | 0 | 0 | 0 | |
1 | 1 | 1 | 1 | ✓ |
2 | 1 | 1 | 0 | |
3 | 1 | 0 | 1 | ✓ |
4 | 1 | 0 | 0 | |
5 | 0 | 1 | 1 | ✓ |
6 | 0 | 1 | 0 | |
7 | 0 | 0 | 1 | ✓ |
8 | 0 | 0 | 0 | |
MSB | LSB |
(4)
4.9 Binary coded decimal ✓ It is a circuit that converts each individual decimal number ✓ in a sequence into a four-bit binary number. ✓ (3)
4.10 Full sequence counter is a counter that runs to its maximum count. ✓
Truncated is one that is modified to stop its count before reaching its maximum count. ✓ (2)
4.13 Set mode ✓
Reset mode ✓
No change or hold mode ✓ (3)
4.14
(4)
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QUESTION 5: MICROCONTROLLERS
5.1 Microcontroller is an independent device, ✓ a computer on a chip that can perform a limited range of functions without needing to rely on other chips ✓ or devices. ✓(3)
5.2
(4)
5.3 5.3.1 CPU: Central Processing Unit ✓- It does all the calculations and logic operations in the background, ✓allowing the programmes or software to function. ✓ (3)
5.3.2 RAM: Random Access Memory ✓- This is a fast, temporary memory ✓ that allows information to be stored and retrieved by the system as it operates. ✓ (3)
5.3.3 ROM: Read Only Memory ✓- This is where the start-up instructions ✓ are stored. ✓ (3)
5.4 A single microcontroller can replace a wide variety of traditional discrete electronic components like transistors, logic circuits and 555 timer ICs. ✓ They are smaller and cheaper and with fewer separate parts making them more reliable. ✓
Product assembly will be far simpler and therefore quicker and cheaper. ✓
Using microcontrollers can make products more flexible. (3)
5.5 Control bus ✓
Data bus ✓
Address bus ✓ (3)
5.6 Input sensors: switches, ✓ buttons,✓ movement detectors, distance sensors, movement sensors, light sensors, sound sensors and chemical sensors.
Output sensors (transducers): lights, ✓ displays, ✓ motors, servos, solenoids, pumps, sound speakers, hydraulic and pneumatic drives. (4)
5.7 Microprocessor is simply an IC which only has the Central Processing Unit (CPU) inside it. ✓
Microcontroller is a complete, small scale computer with all the necessary devices required to function, CPU, RAM, ROM and I/O embedded together on a single IC chip. ✓ (2)
5.8 Flow chart is a pictorial representation of an algorithm and the flow of a programme. ✓✓ (2)
5.9
Award marks for correct: pictorial representation, sequence, decisions, activities and overall algorithm (5)
5.10
(6)
5.11 Program counter ✓
Current Instruction Register ✓
Memory Address register✓
Memory Data register (3)
5.12 Program is a sequence of instructions✓ that tells a computer how to do a task. ✓(2)
5.13 Register is a very fast working memory of a CPU. ✓✓ (2)
5.14
5.14.1
(2)
5.15 UART converts parallel data from the host processor into a serial data stream ✓ in preparation for transmission in a serial form. ✓ (2)
5.16 Discreet logic consists of many individual components, ✓ all mounted to a circuit board and interconnected to create a circuit. ✓ (2)
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TOTAL: 200