# UIL test questions

## Recommended Posts

which of these is NOT equivalent to 1000102 + 1000002 ?

A) 6610

B)1128

C)4216

D)10000102

E)All are equivalent

the answer is B because 1000102 + 1000002 = 3410 + 3210 = 6610 = 1028 = 4216 = 1000102

Can anyone help explain how these numbers relate to each other?

DOC120914-12092014150849.pdf

##### Share on other sites

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

##### Share on other sites

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.

## Create an account

Register a new account