# Convert 20 from octal to binary

What is 20 octal in binary? 20 from octal to binary is 10000. Here we show you how to write 208 in binary and how to convert 20 from base-8 to base-2.

Number:
From:
To:
208 in binary
100002

In numeral system, we know octal is base-8 and binary is base-2. To convert octal 20 to binary, you follow these steps:

To do this, first convert octal into decimal, then the resulting decimal into binary

1. Start from one's place in octal : multiply ones place with 8^0, tens place with 8^1, hundreds place with 8^2 and so on from right to left
2. Add all the products we got from step 1 to get the decimal equivalent of given octal value.
3. Then, divide decimal value we got from step-2 by 2 keeping notice of the quotient and the remainder.
4. Continue dividing the quotient by 2 until you get a quotient of zero.
5. Then just write out the remainders in the reverse order to get binary equivalent of decimal number.

First, convert 208 into decimal, by using above steps:

= 208
= 2 × 810 × 80
= 1610

Now, we have to convert 1610 to binary

16 / 2 = 8 with remainder 0
8 / 2 = 4 with remainder 0
4 / 2 = 2 with remainder 0
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The octal number 20 converted to binary is therefore equal to :

10000

Here are some more examples of octal to binary conversion
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}