10356 octal to binary

Here we will show you how to convert the octal number 10356 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 10356 from octal to binary are explained below.

Step 1)
Multiply the last digit in 10356 by 8⁰, multiply the second to last digit in 10356 by 8¹, multiply the third to last digit in 10356 by 8², multiply the fourth to last digit in 10356 by 8³, and so on, until all the digits are used:

6 × 8⁰ = 6
5 × 8¹ = 40
3 × 8² = 192
0 × 8³ = 0
1 × 8⁴ = 4096

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

6 + 40 + 192 + 0 + 4096 = 4334

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.

4334 ÷ 2 = 2167 with 0 remainder
2167 ÷ 2 = 1083 with 1 remainder
1083 ÷ 2 = 541 with 1 remainder
541 ÷ 2 = 270 with 1 remainder
270 ÷ 2 = 135 with 0 remainder
135 ÷ 2 = 67 with 1 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 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 10356 octal to binary:

10356 octal = 1000011101110 binary

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

10357 octal to binary
Go here for the next octal number on our list that we have converted to binary.