Question 1
A toy manufacturer is designing a two-tone siren for use in small battery-operated cars. Figure 1 shows design Option 1.
Option 1 uses three separate signal generators feeding into a logic sub-system. The signal generators produce logic-compatible 9 V square waves of frequencies 1024 Hz, 1 Hz and 512 Hz.
The waveforms shown are not to scale.
Explain how the logic level applied at B in Figure 1 determines the output frequency at Q.
[2 marks]
Write the Boolean algebra expression for output Q in terms of the inputs A, B and C. Use only the logic operations shown in Figure 1.
[2 marks]
Option 1 is tested by replacing the 1 Hz signal generator with a manual input.
The manual input is provided by the combination of a push-to-make switch and a 10 kΩ resistor.
The combination produces the following voltages at its output:
• 0 V when the switch is not pressed
• 9 V when the switch is pressed.
Figure 2 shows the symbol for the push-to-make switch.
Figure 2
Complete Figure 3 to show how this switch and the 10 kΩ resistor are connected. Label the output Vout. You do not need to add details taken from Figure 1.
Figure 3
[1 mark]
Figure 4 shows a generalised layout of an integrated circuit (IC) for an N-bit binary counter. Q0 is the output that provides the least significant bit.
A signal generator feeds a square wave of frequency 1024 Hz into the clock of the IC. The N-bit binary counter generates the 512 Hz signal and the 1 Hz signal from separate outputs.
Deduce which of the outputs Q0 to QN will provide the 1 Hz signal.
[1 mark]
To make the two-tone siren, the manufacturer decides to use a new design, Option 2
Option 2 contains:
• one 1024 Hz signal generator
• one N-bit binary counter
• a new logic sub-system as shown in Figure 5.
Assume that:
• each type of logic gate has its own dedicated IC chip
• each separate signal generator is based upon its own IC chip.
Compare the number of ICs used in Option 1 with the number used in Option 2. Go on to explain one advantage of the manufacturer’s decision.
[2 marks]