Steps
● Step 1 – Convert the original number to a decimal number (base 10).
● Step 2 – Convert the decimal number so obtained to the new base number.
Example
Octal Number : 258
Calculating Binary Equivalent:
Step 1 : Convert to Decimal
| Step | Octal Number | Decimal Number |
| Step 1 | 258 | ((2 x 81) + (5 x 80))10 |
| Step 2 | 258 | (16 + 5 )10 |
| Step 3 | 258 | 2110 |
Octal Number : 258 = Decimal Number : 2110
Step 2 : Convert Decimal to Binary
| Step | Operation | Result | Remainder |
| Step 1 | 21 / 2 | 10 | 1 |
| Step 2 | 10 / 2 | 5 | 0 |
| Step 3 | 5 / 2 | 2 | 1 |
| Step 4 | 2 / 2 | 1 | 0 |
| Step 5 | 1 / 2 | 0 | 1 |
Decimal Number : 2110 = Binary Number : 101012
Octal Number : 258 = Binary Number : 101012
