A byte is a sequence of eight bits and each bit is either 0 or1. a) How many dif

Question

A byte is a sequence of eight bits and each bit is either 0 or1. a) How many different byts are possible? b) If the first bit of a byts is a parity check, that is thefirst byte is determind from the other seven bits, how manydifferent byts are possible? A byte is a sequence of eight bits and each bit is either 0 or1. a) How many different byts are possible? b) If the first bit of a byts is a parity check, that is thefirst byte is determind from the other seven bits, how manydifferent byts are possible?

Explanation / Answer

Each sequence of 8 digits can be filled in 28 ways.This is because you can fill the first digit in 2 ways and secondin 2 ways and so on so total # of ways = 2*2*2*2*2*2*2*2 = 256ways

b)      If first one is filled in anautomatic way using some logic relating to the other 7 digits youcan fill them in 27 waysthis is because = can fill the first digit in 2 ways and second in2 ways and so on so total # of ways = 2*2*2*2*2*2*2 =126 ways

iImportant thing to note here is that a sequence of all 0s or evendigits starting with 0s on the left side are also valid bytes

Hope this is useful and feel free to ask for any clarifications

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