
Here we will show you how to convert the octal number 10000 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 10000 from octal to binary are explained below.
Step 1)
Multiply the last digit in 10000 by 8⁰, multiply the second to last digit in 10000 by 8¹, multiply the third to last digit in 10000 by 8², multiply the fourth to last digit in 10000 by 8³, and so on, until all the digits are used:
0 × 8⁰ = 0
0 × 8¹ = 0
0 × 8² = 0
0 × 8³ = 0
1 × 8⁴ = 4096
Step 2)
Next, we add up all the products we got from Step 1, like this:
0 + 0 + 0 + 0 + 4096 = 4096
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.
4096 ÷ 2 = 2048 with 0 remainder
2048 ÷ 2 = 1024 with 0 remainder
1024 ÷ 2 = 512 with 0 remainder
512 ÷ 2 = 256 with 0 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 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 10000 octal to binary:
10000 octal = 1000000000000 binary
Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.
10001 octal to binary
Go here for the next octal number on our list that we have converted to binary.
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