Binary to denary conversion
To convert the 8-bit number 1010 1000 from A number system that contains two symbols, 0 and 1. Also known as base 2. to denary, complete the following steps:
Put the decimal values 128, 64, 32, 16, 8, 4, 2, 1 into a table row...
| Denary | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
| Denary | |
|---|---|
| 128 | |
| 64 | |
| 32 | |
| 16 | |
| 8 | |
| 4 | |
| 2 | |
| 1 |
These represent the place values in binary.
Next, copy the binary number into the row below...
| Denary | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
| Binary | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 |
| Denary | |
|---|---|
| 128 | |
| 64 | |
| 32 | |
| 16 | |
| 8 | |
| 4 | |
| 2 | |
| 1 |
| Binary | |
|---|---|
| 1 | |
| 0 | |
| 1 | |
| 0 | |
| 1 | |
| 0 | |
| 0 | |
| 0 |
For each column with the binary value 1, add the corresponding denary value to get your result.
128 + 32 + 8 = 168
So, the binary number 1010 1000 is 168 in denary.
8-bit binary number 1010 1000 converted into denary
