how many different values can be represented using 4 bits?

You can represent 16 different values using 4 bits.

Quick Scoop

4 bits means you have 4 positions, and each position (each bit) can be either 0 or 1.

Using the basic rule of counting in binary, that gives 24=162^4=1624=16 possible combinations, from 0000 to 1111 in binary (which is 0 to 15 in decimal).

Tiny example

Some of the 4-bit patterns are:

• 0000 → 0

• 0001 → 1

• 0010 → 2

• …
• 1111 → 15

All together, that makes 16 unique values that can be represented with 4 bits.

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