Final answer:
The student is inquiring about designing a combinational circuit using a decoder and gates as well as calculating overall capacitance for series and parallel capacitors in a circuit.
Step-by-step explanation:
The student is asking about the design of a combinational circuit with a specified set of Boolean functions that can be implemented using a decoder and external gates. In electrical engineering, when designing combinational circuits, one may use decoders to simplify the implementation of Boolean functions by decoding inputs into a number of outputs that represent different combinations of the inputs. This can then be combined with external gates like AND, OR, NOR, etc., to create the desired outputs based on the Boolean expressions given. When working with capacitors in series and parallel, it's also important to understand how to calculate the total capacitance of the system by identifying which components are in series and which are in parallel.
Calculating Capacitance in Series and Parallel
For capacitors in series, like C1 and C2 in Figure 19.29 (b), the equivalent capacitance (Cs) can be determined by summing the reciprocals of the individual capacitances and then taking the reciprocal of the sum:
Cs = 1/(1/C1 + 1/C2)
For capacitors in parallel, like when Cs is in parallel with C3 in Figure 19.29 (c), the equivalent capacitance (Cp) is simply the sum of the individual capacitances:
Cp = Cs + C3
To determine the overall capacitance of a circuit that contains a combination of capacitors in series and parallel, one needs to find the equivalent capacitance of the series parts, then add the capacitances of the parallel parts.