How do I convert 4 digit binary to denary?
To convert binary numbers to denary (sometimes referred to as decimal) we simply use a table like the one below:| 8 | 4 | 2 | 1 |
|---|---|---|---|
| _ | _ | _ | _ |
The numbers on the top row always stay the same. We simply take the binary number we have been given and put it in the row below the numbers.
Example
Convert the number 0011 into denary.First we put our binary number into the bottom row of our table.
| 8 | 4 | 2 | 1 |
|---|---|---|---|
| 0 | 0 | 1 | 1 |
We now go through each column starting from the left.
In our first column there is a 0. We do not need to do anything.
In the second column there is a 0. We do not need to do anything.
In the third column there is a 1. Anytime there is a 1 in a column we take the number from the top row in this case a 2 and store it so we can add it to other numbers later.
In the fourth column there is also a 1. As there is a 1 in the bottom column we take the number from the top row which is a 1 and store it with the other number.
All the numbers we have stored we now add together to give us our denary number. 2 + 1 = 3. 0011 in binary is 3 in denary.
Convert the following 4 digit binary number to denary / decimal:
Enter your answer: