Octal to Decimal
This is the continuation of learning binary series.You learned that binary is in the base two number system.
You also learned Hex is in the base 16 number system.
Well octal is in the base 8 number system.
0 1 2 3 4 5 6 7
Octal to Decimal
Example 1:
As you learned above octal is a base 8 number system,
0 1 2 3 4 5 6 7
Lets start with an octal number
238
2 | 3 | 8
Each digit is multiplied by 8 by its power
2 | 1 | 0
2 × 82 + 3 × 81 + 8 × 80 - You now solve this with PEMDAS
P(parenthesis)-E(exponents)-M(multiplication)-D(division) -A(addition)-S(subtraction)
You solve the exponents then the multiplication and then addition
2 × 64 + 3 × 8 + 8
128 + 24 + 8 = 152
Example 2:
Lets start with another octal number
7050
7 | 0 | 5 | 0
Each digit is multiplied by 8 by its power
3 | 2 | 1 | 0
7 × 83 + 0 × 82 + 5 × 81 + 0 × 80
7 × 512 + 0 × 64 + 5 × 8 + 0
3584 + 0 + 40 + 0 = 3624