20311 octal to binary

Here we will show you how to convert the octal number 20311 to a binary number. First note that the octal number system has eight different digits (0 1 2 3 4 5 6 7) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 20311 from octal to binary are explained below.

Step 1)
Multiply the last digit in 20311 by 8⁰, multiply the second to last digit in 20311 by 8¹, multiply the third to last digit in 20311 by 8², multiply the fourth to last digit in 20311 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
1 × 8¹ = 8
3 × 8² = 192
0 × 8³ = 0
2 × 8⁴ = 8192

Step 2)
Next, we add up all the products we got from Step 1, like this:

1 + 8 + 192 + 0 + 8192 = 8393

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

8393 ÷ 2 = 4196 with 1 remainder
4196 ÷ 2 = 2098 with 0 remainder
2098 ÷ 2 = 1049 with 0 remainder
1049 ÷ 2 = 524 with 1 remainder
524 ÷ 2 = 262 with 0 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 20311 octal to binary:

20311 octal = 10000011001001 binary

Octal to Binary Converter
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20312 octal to binary
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