Final answer:
The CMOS family is renowned for low power consumption and is widely used in various digital integrated circuits. CMOS stands for Complementary Metal-Oxide-Semiconductor and is favored for its power efficiency.
Step-by-step explanation:
The family of digital integrated circuits known for being very low power and widely used is the CMOS family. CMOS stands for Complementary Metal-Oxide-Semiconductor. This technology utilizes complementary and symmetrical pairs of p-type and n-type MOSFETs for logic functions. CMOS circuits consume significantly less power than other types of logic families, especially when in a static or low-frequency state, which is one reason why they are favored for battery-operated devices and are prevalent in modern electronic devices.