A byte is a sequence of eight bits and each bit is either

Chapter 2, Problem 46E

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QUESTION:

A byte is a sequence of eight bits and each bit is either 0 or 1.

(a) How many different bytes are possible?

(b) If the first bit of a byte is a parity check, that is, the first byte is determined from the other seven bits, how many different bytes are possible?

Questions & Answers

QUESTION:

A byte is a sequence of eight bits and each bit is either 0 or 1.

(a) How many different bytes are possible?

(b) If the first bit of a byte is a parity check, that is, the first byte is determined from the other seven bits, how many different bytes are possible?

ANSWER:

Solution :

Step 1 of 2:

Given a byte is a sequence of 8 bits and each bit is either 0 or 1.

Our goal is:

a). We need to find how many different bytes are possible.

b). We need to find how many different bytes are possible.

a). Now we have to find how many different bytes are possible.

We know that a byte is a sequence of 8 bits.

So from the multiplication rule is

Therefore, 256 different bytes are possible.


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