How do you convert a octal number to its decimal?

Answer 1

Decimal Form = Æ©(ai x 8i)

In this formula, 'a' is the individual digit being converted, while 'i' is the number of the digit counting from the right-most digit in the number, the right-most digit starting with 0.

For example:

Convert (765)8 into decimal:

(765)8 = (7 x 82) + (6 x 81) + (5 x 80)

= (7 x 64) + (6 x 8) + (5 x 1)

= 448 + 48 + 5

= 501

Hence (765)8 = (501)10

We'll take one more example with a four digit number:

Convert (1336)8 to decimal:

(1336)8 = (1 x 83) + (3 x 82) + (3 x 81) + (6 x 80)

= (1 x 512) + (3 x 64) + (3 x 8) + (6 x 1)

= 512 + 192 + 24 + 6

= 734

Thus (1336)8 = (734)10

Try this exercise out with the following numbers:

(5467)8

(6345)8

(76534)8

Answers:

1.2871

2.3301

3.32092