20101 octal to binary

Here we will show you how to convert the octal number 20101 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 20101 from octal to binary are explained below.

Step 1)
Multiply the last digit in 20101 by 8⁰, multiply the second to last digit in 20101 by 8¹, multiply the third to last digit in 20101 by 8², multiply the fourth to last digit in 20101 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
0 × 8¹ = 0
1 × 8² = 64
0 × 8³ = 0
2 × 8⁴ = 8192

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

1 + 0 + 64 + 0 + 8192 = 8257

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.

8257 ÷ 2 = 4128 with 1 remainder
4128 ÷ 2 = 2064 with 0 remainder
2064 ÷ 2 = 1032 with 0 remainder
1032 ÷ 2 = 516 with 0 remainder
516 ÷ 2 = 258 with 0 remainder
258 ÷ 2 = 129 with 0 remainder
129 ÷ 2 = 64 with 1 remainder
64 ÷ 2 = 32 with 0 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 20101 octal to binary:

20101 octal = 10000001000001 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

20102 octal to binary
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