Heyhey Posted December 18, 2014 Report Share Posted December 18, 2014 which of these is NOT equivalent to 100010_{2 }+ 100000_{2 }? A) 66_{10} B)112_{8} C)42_{16} D)1000010_{2} E)All are equivalent the answer is B because 100010_{2} + 100000_{2} = 34_{10} + 32_{10} = 66_{10} = 102_{8} = 42_{16} = 100010_{2 } Can anyone help explain how these numbers relate to each other? DOC120914-12092014150849.pdf Link to comment Share on other sites More sharing options...

justsomeguy Posted December 18, 2014 Report Share Posted December 18, 2014 Those are different bases. Base-2 is binary, that's what answer D is. Answer A is base-10, that's the number system you're used to (decimal). Base-8 is octal, and base-16 is hexadecimal. You can convert a number in one base into any other base.https://www.google.com/search?client=opera&q=convert+numbers+between+bases&sourceid=opera&ie=UTF-8&oe=UTF-8 Link to comment Share on other sites More sharing options...

Ingolme Posted December 18, 2014 Report Share Posted December 18, 2014 They have to have taught you this in class, it's very important in computer science. It's about different systems for representing numbers. Any number can be represented as a sum of powers: http://en.wikipedia.org/wiki/Positional_notation The base of the power is the base of the numeral system. We use 10 in everyday life, but computers use base 2 (binary). Since binary numbers can get really long engineers use octal (base 8) and hexadecimal (base 16) to represent them. Because 8 and 16 are powers of 2, it's really easy to convert between base 2 and these bases. In octal each digit corresponds to 3 binary digits, in hexadecimal each digit corresponds to four binary digits. Link to comment Share on other sites More sharing options...

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