10334 octal to binary

Here we will show you how to convert the octal number 10334 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 10334 from octal to binary are explained below.

Step 1)
Multiply the last digit in 10334 by 8⁰, multiply the second to last digit in 10334 by 8¹, multiply the third to last digit in 10334 by 8², multiply the fourth to last digit in 10334 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
3 × 8¹ = 24
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:

4 + 24 + 192 + 0 + 4096 = 4316

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.

4316 ÷ 2 = 2158 with 0 remainder
2158 ÷ 2 = 1079 with 0 remainder
1079 ÷ 2 = 539 with 1 remainder
539 ÷ 2 = 269 with 1 remainder
269 ÷ 2 = 134 with 1 remainder
134 ÷ 2 = 67 with 0 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 10334 octal to binary:

10334 octal = 1000011011100 binary

Octal to Binary Converter
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10335 octal to binary
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