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5.1 Explain the term common cathode with reference to the seven-segment LED display - NSC Electrical Technology Digital - Question 5 - 2021 - Paper 1

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5.1 Explain the term common cathode with reference to the seven-segment LED display. 5.2 Draw a fully labelled circuit diagram of a sinking digital output. Indicate... show full transcript

Worked Solution & Example Answer:5.1 Explain the term common cathode with reference to the seven-segment LED display - NSC Electrical Technology Digital - Question 5 - 2021 - Paper 1

Step 1

Explain the term common cathode with reference to the seven-segment LED display.

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Answer

A common cathode seven-segment LED display features segments (labeled a to g) that illuminate when positive voltage is applied to the relevant segment pins, while all cathodes of the LEDs are connected to ground. This configuration ensures that when a segment receives current, it lights up, displaying the corresponding decimal digit.

Step 2

Draw a fully labelled circuit diagram of a sinking digital output. Indicate the direction of current flow at the output.

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Answer

The circuit diagram consists of a digital output connected to a transistor. When activated, the transistor allows current to flow from a positive voltage source through the load (like an LED) to ground. Current flows from the positive terminal through the load and into the transistor, demonstrating a sinking configuration.

Step 3

Explain the function of the encoder in FIGURE 5.3.

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Answer

The encoder in FIGURE 5.3 is designed to convert the input signals from switches S1, S2, and S3 into a binary format. When a switch is activated, the encoder translates the corresponding decimal value of the active switch into a binary representation at outputs A0 and A1.

Step 4

Complete the logic state of inputs and outputs in boxes A to E on the ANSWER SHEET for QUESTION 5.3.2 when S1 is pressed.

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Answer

When switch S1 is pressed, the output states will be: A0 = 0, A1 = 0, D = 1 (indicating active), A = 1 (S1 active), B = 0, C = 0, X = 0, Y = 0.

Step 5

Draw the labelled logic circuit for the logic symbol in FIGURE 5.4 using AND gates and NOR gates only on the ANSWER SHEET for QUESTION 5.4.

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Answer

The logic circuit for the flip-flop consists of two AND gates and a NOR gate. The SET input connects to the AND gate, and the output connects to the NOR gate. The output of the NOR gate feeds back into the AND gates, allowing for flip-flop behavior.

Step 6

Draw the logic circuit of a half-adder using an AND gate and an Exclusive-OR gate.

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Answer

The half-adder consists of two inputs A and B. The Exclusive-OR gate produces the sum (Σ), while the AND gate produces the carry output (Cₒ). The connection is direct from A and B to the respective gates.

Step 7

Complete the truth table of the half-adder in the table (X, Y and Z) on the ANSWER SHEET for QUESTION 5.5.2.

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Answer

The truth table for the half-adder is as follows:

ABΣ (Sum)Cₒ (Carry)
0000
0110
1010
1101

Step 8

Name TWO applications of counters.

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Answer

  1. Digital clocks to keep track of time.
  2. Event counters in electronics to count occurrences of events.

Step 9

Explain the difference between the full-sequence counter and the truncated counter.

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Answer

A full-sequence counter counts through its entire range before resetting, while a truncated counter is modified to stop counting before reaching its maximum count, potentially to simplify design or reduce the number of stages needed.

Step 10

Explain the term positive edge triggering.

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Answer

Positive edge triggering refers to circuits that activate or respond to the positive transition of a clock pulse, specifically when the signal switches from low to high, indicating when the state should be sampled or changed.

Step 11

Refer to FIGURE 5.9 below and explain the sequential operation of this counter without the aid of a truth table.

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Answer

In the counter shown in FIGURE 5.9, the clock signal triggers flip-flops FF0, FF1, and FF2 in sequence. As each flip-flop is activated, it passes its state to the next, creating a binary count. The feedback mechanism stops the counter when it reaches the count of 5 (binary 101) by disabling the first flip-flop, thereby preventing further counts.

Step 12

Draw a neatly labelled diagram of a four-bit serial-in: parallel-out shift register using D-type flip-flops.

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Answer

The diagram consists of four D-type flip-flops connected in series, where the output of each flip-flop feeds into the input of the next. The serial data input connects to the first flip-flop, and parallel outputs are taken from each flip-flop to display the stored data.

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