Octal To Decimal converter Examples

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Home > Pre-Algebra calculators > Octal To Decimal conversion example

Octal To Decimal converter example ( Enter your problem )

( Enter your problem )

Examples

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1. Examples

1. Conversion from Octal To Decimal

(304)₈ = ( ? )₁₀

Solution:
(304)8=( ̲)10 $(304)_8 = (underline{" "})_10$

304 $304$

=3×82+0×81+4×80 $= 3 × 8^2 + 0 × 8^1 + 4 × 8^0$

=3×64+0×8+4×1 $= 3 × 64 + 0 × 8 + 4 × 1$

=196 $= 196$

$:. (304)_8 = (underline{196})_10$

2. Conversion from Octal To Decimal

(1534)₈ = ( ? )₁₀

Solution:
$(1534)_8 = (underline{" "})_10$

$1534$

$= 1 × 8^3 + 5 × 8^2 + 3 × 8^1 + 4 × 8^0$

$= 1 × 512 + 5 × 64 + 3 × 8 + 4 × 1$

$= 860$

$:. (1534)_8 = (underline{860})_10$

This material is intended as a summary. Use your textbook for detail explanation.
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**Number system conversion table from 1 to 15**
Decimal Number Base-10	Binary Number Base-2	Octal Number Base-8	Hexadecimal Number Base-16
1	1	1	1
2	10	2	2
3	11	3	3
4	100	4	4
5	101	5	5
6	110	6	6
7	111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F