This page outlines data encoding for transmission, emphasizing error detection and correction due to potential noise interference. It introduces the concept of distance between binary strings to diffe...This page outlines data encoding for transmission, emphasizing error detection and correction due to potential noise interference. It introduces the concept of distance between binary strings to differentiate messages and suggests considerations for designing error-correcting codes to manage single-bit errors.
The document focuses on arithmetic in different numeral systems, specifically bases 2 through 9 and 12. It explains how computers use base 2 (binary) for calculations and how conventional base 10 arit...The document focuses on arithmetic in different numeral systems, specifically bases 2 through 9 and 12. It explains how computers use base 2 (binary) for calculations and how conventional base 10 arithmetic changes with non-decimal bases. It details the construction of addition tables for these bases and illustrates addition and subtraction through examples. Key examples include calculations in bases 6, 7, and 12, and it also highlights common errors.