Bits to nats
Type a value in bit to get it in nat instantly.
5.545nat
That's about the same as a byte. That much information picks one outcome out of about 256.
Convert the other way: nat to bit
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 bit to nat
To convert bits to nats, multiply by 0.693147.
Example: 8 bit × 0.693147 = 5.54518 nat.
In the other direction, 1 nat = 1.4427 bit.
Every unit
Your information in every unit
Tables
bit to nat conversion table
| bit | nat |
|---|---|
| 1 bit | 0.693147 nat |
| 2 bit | 1.38629 nat |
| 4 bit | 2.77259 nat |
| 8 bit | 5.54518 nat |
| 16 bit | 11.0904 nat |
| 32 bit | 22.1807 nat |
| 64 bit | 44.3614 nat |
| 128 bit | 88.7228 nat |
| 256 bit | 177.446 nat |
| 1,024 bit | 709.783 nat |
nat to bit conversion table
| nat | bit |
|---|---|
| 1 nat | 1.4427 bit |
| 2 nat | 2.88539 bit |
| 4 nat | 5.77078 bit |
| 8 nat | 11.5416 bit |
| 16 nat | 23.0831 bit |
| 32 nat | 46.1662 bit |
| 64 nat | 92.3325 bit |
| 128 nat | 184.665 bit |
| 256 nat | 369.33 bit |
| 1,024 nat | 1,477.32 bit |
Quick answers
Quick answers
- How many nat is 1 bit?
- 1 bit is 0.693147 nat.
- How many nat is 10 bit?
- 10 bit is 6.93147 nat.
- How many nat is 8 bit?
- 8 bit is 5.54518 nat.
The units
About these units
Bits (bit)
The base-2 unit: one fair coin toss of information.
Nats (nat)
The natural-log unit, used where calculus is involved. One nat is 1.44 bits.
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