Steps
● Step 1 – Determine the column (positional) value of each digit (this depends on the position of the digit and the base of the number system).
● Step 2 – Multiply the obtained column values (in Step 1) by the digits in the corresponding columns.
● Step 3 – Sum the products calculated in Step 2. The total is the equivalent value in decimal.
Example
Binary Number : 111012
Calculating Decimal Equivalent:
| Step | Binary Number | Decimal Number |
| Step 1 | 111012 | ((1 x 24) + (1 x 23) + (1 x 22) + (0 x 21) + (1 x 20))10 |
| Step 2 | 111012 | (16 + 8 + 4 + 0 + 1)10 |
| Step 3 | 111012 | 2910 |
Binary Number : 111012 = Decimal Number : 2910
