Digital Electronics, Volume 1 Combinational Logic Circuits
Digital systems are used to process data and to perform calculations in most instrumentation, monitoring and communication devices. As physical quantities and signals can only take discrete values in a digital system, the interpretation of real-world information requires the use of interface circuits such as data converters. In general, numbers may be represented in different numeration systems. The decimal system is commonly used in routine transactions while the binary system is the basis for digital electronics. Every number (or numeration) system is defined by a base (or radix), which is a collection of distinct symbols. The representation of a number in a numeration system may be considered as a change in base. In a positional number system, a value of a number depends on the place occupied by each of its digits in the representation.