CMOS (Complementary Metal-Oxide-Semiconductor) is the logic family that has the highest fan-out among the given options.

Fan-out refers to the number of gate inputs that a single gate output can drive without degrading the signal quality. In other words, it is the maximum number of inputs that a gate can drive.

Reasons why CMOS has the highest fan-out:

1. Low power consumption: CMOS logic circuits have very low power consumption compared to other logic families. The power dissipation is minimal during both logic states (0 and 1), making it ideal for high fan-out applications.

2. High output impedance: CMOS gates have a very high output impedance, which allows them to drive multiple inputs without significantly affecting the signal quality. The high output impedance ensures that the voltage levels remain stable even when driving multiple inputs.

3. Low input capacitance: CMOS gates have low input capacitance, which means that they can easily overcome the capacitive load of multiple inputs. The low input capacitance also helps in reducing the propagation delay, allowing for faster operation.

4. Wide supply voltage range: CMOS logic circuits can operate over a wide range of supply voltages, allowing for flexibility in different applications. This wide supply voltage range enables CMOS gates to drive different types of loads, including high capacitive loads.

5. High noise immunity: CMOS logic circuits have high noise immunity, which means they are less susceptible to noise and interference. This characteristic ensures that the signal integrity is maintained even when driving multiple inputs.

Overall, CMOS logic family exhibits excellent characteristics such as low power consumption, high output impedance, low input capacitance, wide supply voltage range, and high noise immunity, making it suitable for high fan-out applications. Therefore, CMOS has the highest fan-out among the given options.