Unsigned binary

An unsigned binary number is simply a binary number that can only represent non-negative values (i.e., zero and positive integers).

We can say that all bits are used to represent the magnitude of the number.

Range of values

In an unsigned 3-bit binary number, for example, the possible values are:

000 (0 in decimal)
001 (1 in decimal)
010 (2 in decimal)
011 (3 in decimal)
100 (4 in decimal)
101 (5 in decimal)
110 (6 in decimal)
111 (7 in decimal)

We can see that an unsigned 3-bit binary number can represent values from 0 to 7. We can calculate the maximum value of an unsigned binary number with bits using the formula:

For example, for an unsigned 5-bit binary number, the maximum value is .