CIS 1910 Lecture 9: 09 Numerical Systems
14 Feb 2017
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Document Summary
The decimal system represents integers in decimal notation in which each number is represented as sequence of digits. The set of digits has ten symbols: {0,1,2,3,4,5,6,7,8,9} The place of a digit in the sequence represents its value. The rightmost digit is multiplied by 1 = 100, the digit that is second to the right is multiplied by 10 101. The digit that is kth from the right is multiplied by 10(k-1) The number 256 can be represented as: Numbers represented in based b require b distinct symbols and each place value is a power of b. Every non-negative integer n can be expressed uniquely as: Where k is a non-negative integer, each ai is an integer in the range from 0 to b 1, and ak 0. 11 in terms of powers of 2: 197 in terms of powers of 3: Numeral systems- common bases the decimal digits are 0,1,2,3,4,5,6,7,8,9 the hexadecimal digits are 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f.
