Octal to Decimal conversion
How to convert octal to decimal:
For octal number with n digits:
dn-1 … d3 d2 d1 d0
The decimal number is equal to the sum of octal digits (dn) times their power of 8 (8n):
decimal = d0×80 + d1×81 + d2×82 + …
Example:1
Find the decimal value of 31 octal:
Convert (31)8 to (n)10
| Octal Value | 3 | 1 |
| Power of 8 | 81 | 80 |
=> 3*81 + 1*80
=> 24 + 1
=> 25
So we have
(31)8 = (25)10
Example:2
Find the decimal value of 47 octal:
Convert (47)8 to (n)10
| Octal Value | 4 | 7 |
| Power of 8 | 81 | 80 |
=> 4*81 + 7*80
=> 32 + 7
=> 39
So we have
(47)8 = (39)10
Example:3
Find the decimal value of 175 octal:
Convert (175)8 to (n)10
| Octal Value | 1 | 7 | 5 |
| Power of 8 | 82 | 81 | 80 |
=> 1*82 + 7*81 + 5*80
=> 64 + 56 + 5
=> 125
So we have
(175)8 = (125)10
