Question 1
Figure 1 shows the input and output pins for a 4-bit binary counter. The output pin for the least significant bit is A.
Complete Figure 1 by adding a single logic gate to the binary counter so that the circuit functions as a modulo-6 counter.
Figure 2 shows three outputs of the modulo-6 counter connected to a logic sub-system that controls a 7-segment display. The decimal point on the display is not shown. The whole system shown in Figure 2 is to be used as an electronic dice.
Segments in the 7-segment display are turned on or off by the logic sub-system to display the decimal numbers 1 to 6 in sequence. A segment in the display turns on when the logic output with the same letter as the segment is at logic 1.
[2 marks]
Table 1 shows how the values of CBA control the logic level applied to each of the segments a to g during the counting cycle.
One of the logic outputs a to g is controlled by a single NOT gate. This gate uses one of the inputs A, B or C.
State the input that is used and the segment that this NOT gate controls.
[1 mark]
X represents one of the logic outputs. The Boolean expression for this output is:
State which of the logic outputs a to g is being controlled by this function.
[1 mark]
Y represents another of the logic outputs. The Boolean expression for this output is:
Complete Figure 3 to show the combination of logic gates needed to represent the expression. You should only use logic gates that represent the individual functions shown in the expression.
Figure 3
[3 marks]