How many possible values can be created with only 3 bits?

Solution:

The highest decimal value that can be represented by an unsigned n-bit binary word is 2n - 1.

Using 'n' bits 2n values can be created

Therefore, using 3 bits we will have 23 = 8 values

The 8 values in binary and decimal form are as follows:

Binary form Decimal Form
000 0
001 1
010 2
011 3
100 4
101 5
110 6
111 7

Thus, the 8 values represent from 0 to 7 where 0 and 7 are included.

Therefore, a total of 8 values can be created using 3 bits, which are 0 to 7 where 0 and 7 are included.

How many possible values can be created with only 3 bits?

Summary:

A total of 8 values can be created using 3 bits, which are 0 to 7 where 0 and 7 are included.

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