Dale - Computer Science Illuminated 62

Dale - Computer Science Illuminated 62 - 2.2 Natural...

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Positional notation A system of expressing numbers in which the digits are arranged in succession, the position of each digit has a place value, and the number is equal to the sum of the products of each digit by its place value 1 Base The foundational value of a number system, which dictates the number of digits and the value of digit posi- tions 2.2 Natural Numbers 35 2.2 Natural Numbers How many ones are there in 943? That is, how many actual things does the number 943 represent? Well, in grade school terms you might say there are 9 hundreds plus 4 tens plus 3 ones. Or, said another way, there are 900 ones plus 40 ones plus 3 ones. So how many ones are there in 754? 700 ones plus 50 ones plus 4 ones. Right? Well, maybe. The answer depends on the base of the number system you are using. This answer is correct in the base-10, or decimal, number system, which is the number system we humans use every day. But that answer is not correct in other number system.
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This note was uploaded on 01/13/2011 for the course CSE 1550 taught by Professor Marianakant during the Fall '10 term at York University.

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