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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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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