14007 octal to binary

Here we will show you how to convert the octal number 14007 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 14007 from octal to binary are explained below.

Step 1)
Multiply the last digit in 14007 by 8⁰, multiply the second to last digit in 14007 by 8¹, multiply the third to last digit in 14007 by 8², multiply the fourth to last digit in 14007 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
0 × 8¹ = 0
0 × 8² = 0
4 × 8³ = 2048
1 × 8⁴ = 4096

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

7 + 0 + 0 + 2048 + 4096 = 6151

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.

6151 ÷ 2 = 3075 with 1 remainder
3075 ÷ 2 = 1537 with 1 remainder
1537 ÷ 2 = 768 with 1 remainder
768 ÷ 2 = 384 with 0 remainder
384 ÷ 2 = 192 with 0 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 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 14007 octal to binary:

14007 octal = 1100000000111 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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