14225 octal to binary

Here we will show you how to convert the octal number 14225 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 14225 from octal to binary are explained below.

Step 1)
Multiply the last digit in 14225 by 8⁰, multiply the second to last digit in 14225 by 8¹, multiply the third to last digit in 14225 by 8², multiply the fourth to last digit in 14225 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
2 × 8² = 128
4 × 8³ = 2048
1 × 8⁴ = 4096

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

5 + 16 + 128 + 2048 + 4096 = 6293

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.

6293 ÷ 2 = 3146 with 1 remainder
3146 ÷ 2 = 1573 with 0 remainder
1573 ÷ 2 = 786 with 1 remainder
786 ÷ 2 = 393 with 0 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 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 14225 octal to binary:

14225 octal = 1100010010101 binary

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

14226 octal to binary
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