EECS 1520 Chapter Notes - Chapter 2: Positional Notation, Octal, Scientific Notation

• School: York University
• Department: Electrical Engineering and Computer Science
• Course: EECS 1520
• Professor: John Hofbauer

Document Summary

Positional notation allows us to count past 10. The exponent is the order of magnitude in a column (ex. The magnitude of each column is the base raised to its exponent. Multiply the magnitude of the column by the digit in the column and sum them. Base in a binary system is 2 (0 and 1) (b)inary dig(it) = bit. Octal = short form for binary (based on the 8 patterns in 3 bits). Base 16 and 4 bit patterns was later found to be more efficient (a-f borrowed to compensate for only 10 numeric digits). In both cases, it means put an extra 0 in front of 27916"s binary digit. 27916 = 033206 in octal, and 3686 in hexadecimal. To store integers, half the combinations are used to represent negative values. The msb is used to represent the sign. The range for integers in 1 byte is -128 to.