LING 300 Lecture Notes - Lecture 5: Binary Number

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15 Oct 2018
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Leecs: arithmetic in binary: 255 is the largest number that can be represented in 8 bits. Larger values can be represented in more bits e. g: 27916 is represented by 0110110100001100. Octal- an early system used to help deal with larges numbers requiring long strings of. There were only 10 numeric digits, therefore 6 letters were borrowed to complete the set of hexadecimal digits (using base 16 and 4 bit patterns) e. g 0011011010000110. +0 x 2^4 = 0 x 16= 0 etcc We obtain 110 by adding the result of 64 etc When they said octal is multiply by 8. We obtain 418 by adding the result of 384 etc Hexa used base 16, so multiply by 16. E x 16^1 = 14 x 16= 224. The digit symbols in base 16 are 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f and the letters. A,b,c,d,e,f is a continuous form for 10,11,12,13,14 and 15. When we say base something, we are multiplying by that base.

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