50101 octal to binary

Here we will show you how to convert the octal number 50101 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 50101 from octal to binary are explained below.

Step 1)
Multiply the last digit in 50101 by 8⁰, multiply the second to last digit in 50101 by 8¹, multiply the third to last digit in 50101 by 8², multiply the fourth to last digit in 50101 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
0 × 8¹ = 0
1 × 8² = 64
0 × 8³ = 0
5 × 8⁴ = 20480

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

1 + 0 + 64 + 0 + 20480 = 20545

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.

20545 ÷ 2 = 10272 with 1 remainder
10272 ÷ 2 = 5136 with 0 remainder
5136 ÷ 2 = 2568 with 0 remainder
2568 ÷ 2 = 1284 with 0 remainder
1284 ÷ 2 = 642 with 0 remainder
642 ÷ 2 = 321 with 0 remainder
321 ÷ 2 = 160 with 1 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 50101 octal to binary:

50101 octal = 101000001000001 binary

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

50102 octal to binary
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