14316 octal to binary

Here we will show you how to convert the octal number 14316 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 14316 from octal to binary are explained below.

Step 1)
Multiply the last digit in 14316 by 8⁰, multiply the second to last digit in 14316 by 8¹, multiply the third to last digit in 14316 by 8², multiply the fourth to last digit in 14316 by 8³, and so on, until all the digits are used:

6 × 8⁰ = 6
1 × 8¹ = 8
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:

6 + 8 + 192 + 2048 + 4096 = 6350

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.

6350 ÷ 2 = 3175 with 0 remainder
3175 ÷ 2 = 1587 with 1 remainder
1587 ÷ 2 = 793 with 1 remainder
793 ÷ 2 = 396 with 1 remainder
396 ÷ 2 = 198 with 0 remainder
198 ÷ 2 = 99 with 0 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 14316 octal to binary:

14316 octal = 1100011001110 binary

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

14317 octal to binary
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