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Mathematics 18 Online
OpenStudy (juana02):

The ASCII code used by most computers uses the last seven positions of an eight-bit byte to represent all the characters on a standard keyboard. how many different orderings of 0's and 1's (or how many different characters) can be made by using the last seven positions of an eight-bit byte?

OpenStudy (unklerhaukus):

each bit can be 0, or 1, which is one of two possibilities,

OpenStudy (unklerhaukus):

so n bits will have 2^n different orderings

OpenStudy (juana02):

Ok

OpenStudy (juana02):

What orderings can it have?

OpenStudy (unklerhaukus):

if you only had one bit to work with, there would be 2^1 = 2 possible orderings, that are 0, 1 if you had two bits there would be 2^2, possible orderings namely 00, 01, 10, 11

OpenStudy (unklerhaukus):

how many bits do you have to work with?

OpenStudy (juana02):

The questions says the bits

OpenStudy (unklerhaukus):

how many?

OpenStudy (unklerhaukus):

read the question carefully

OpenStudy (juana02):

The bits is 0, and 1

OpenStudy (unklerhaukus):

How many bits does the ASCII code use to specify characters?

OpenStudy (juana02):

8

OpenStudy (unklerhaukus):

close

OpenStudy (juana02):

7 positions?

OpenStudy (unklerhaukus):

yes, so how many possible orderings are there?

OpenStudy (juana02):

14?

OpenStudy (juana02):

@UnkleRhaukus

OpenStudy (unklerhaukus):

2^7

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