# Octal number

Octal number is system number who have 8 digit numbers, which is 0, 1, 2, 3, 4, 5, 6 and 7. Octal number base 8 numeral system.

Octal number weights

8

^{0}= 1 → first digit, weights one

8

^{1}= 8 → second digit, weights eight

8

^{2}= 64 → third digit, weights sixty four

8

^{3}= 512 → fourth digit, weights 512

8

^{4}= 4096 → fifth digit, weights 4096

etc.

Example 1:

Convert Octal number 370 to decimal number

Completion:

370

_{(8)}= ?

_{(10)}

0 → 0 × 8

^{0}= 0

7 → 7 × 8

^{1}= 56

3 → 3 × 8

^{2}= 192

370 → 0 + 56 + 192 = 248

370

_{(8)}= 248

_{(10)}

Example 2:

Convert Octal number 55017 to decimal number

Completion:

55017

_{(8)}= ?

_{(10)}

7 → 7 × 8

^{0}= 7

1 → 1 × 8

^{1}= 8

0 → 0 × 8

^{2}= 0

5 → 5 × 8

^{3}= 2560

5 → 5 × 8

^{4}= 20480

55017 → 7 + 8 + 0 + 2560 + 20480 = 23055

55017

_{(8)}= 23055

_{(10)}

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