Equally likely outcomes to bits
Type a value in outcomes to get it in bit instantly.
3bit
That's 1.33× as much as a dice roll, while an English letter is 3.2× more. That much information picks one outcome out of about 8.
Convert the other way: bit to outcomes
What it means
How much information is that?
This is Shannon information, not file size. A megabyte file may carry far less than eight million bits of actual information, which is why it compresses.
The math
How to convert outcomes to bit
Each unit is a different logarithm base: bits = log₂(outcomes), nats = ln(outcomes) and hartleys = log₁₀(outcomes). One nat is 1.443 bits, one hartley 3.322.
Example: 8 outcomes = 3 bit.
Every unit
Your information in every unit
Tables
outcomes to bit conversion table
| outcomes | bit |
|---|---|
| 1 outcomes | 0 bit |
| 2 outcomes | 1 bit |
| 4 outcomes | 2 bit |
| 8 outcomes | 3 bit |
| 16 outcomes | 4 bit |
| 32 outcomes | 5 bit |
| 64 outcomes | 6 bit |
| 128 outcomes | 7 bit |
| 256 outcomes | 8 bit |
| 1,024 outcomes | 10 bit |
bit to outcomes conversion table
| bit | outcomes |
|---|---|
| 1 bit | 2 outcomes |
| 2 bit | 4 outcomes |
| 4 bit | 16 outcomes |
| 8 bit | 256 outcomes |
| 16 bit | 65,536 outcomes |
| 32 bit | 4.295×10⁹ outcomes |
| 64 bit | 1.845×10¹⁹ outcomes |
| 128 bit | 3.403×10³⁸ outcomes |
| 256 bit | 1.158×10⁷⁷ outcomes |
Quick answers
Quick answers
- How many bit is 1 outcomes?
- 1 outcomes is 0 bit.
- How many bit is 10 outcomes?
- 10 outcomes is 3.32193 bit.
- How many bit is 8 outcomes?
- 8 outcomes is 3 bit.
The units
About these units
Equally likely outcomes (outcomes)
How many possibilities that much information distinguishes.
Bits (bit)
The base-2 unit: one fair coin toss of information.
Keep going