CS 25000 Chapter Notes - Chapter 3: Decimal Mark, Floating Point, Scientific Notation

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Digital logic and the importance of abstraction: the main point of digital logic is abstraction we want to hide the underlying details and use high-level abstractions whenever possible. Abstracting means that complex digital systems can be described without thinking about individual transistors or voltages. Multiple bits can represent more complex data items: current computer industry practice defines a byte to be eight bits. Byte size and possible values: the size of the byte determines the max numerical value that can be stored in one byte. Binary weighted positional representation: one of the most common abstractions used to associate a meaning with each combination of bits interprets them as a numeric value. In the binary systems, the possible digits are 0 and 1, and each bit position represents a power of two: a set of k bits can be interpreted to represent a binary integer.

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