14364 octal to binary

Here we will show you how to convert the octal number 14364 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 14364 from octal to binary are explained below.

Step 1)
Multiply the last digit in 14364 by 8⁰, multiply the second to last digit in 14364 by 8¹, multiply the third to last digit in 14364 by 8², multiply the fourth to last digit in 14364 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
6 × 8¹ = 48
3 × 8² = 192
4 × 8³ = 2048
1 × 8⁴ = 4096

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

4 + 48 + 192 + 2048 + 4096 = 6388

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.

6388 ÷ 2 = 3194 with 0 remainder
3194 ÷ 2 = 1597 with 0 remainder
1597 ÷ 2 = 798 with 1 remainder
798 ÷ 2 = 399 with 0 remainder
399 ÷ 2 = 199 with 1 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 14364 octal to binary:

14364 octal = 1100011110100 binary

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

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