4027 octal to binary

Here we will show you how to convert the octal number 4027 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 4027 from octal to binary are explained below.

Step 1)
Multiply the last digit in 4027 by 8⁰, multiply the second to last digit in 4027 by 8¹, multiply the third to last digit in 4027 by 8², multiply the fourth to last digit in 4027 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
2 × 8¹ = 16
0 × 8² = 0
4 × 8³ = 2048

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

7 + 16 + 0 + 2048 = 2071

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.

2071 ÷ 2 = 1035 with 1 remainder
1035 ÷ 2 = 517 with 1 remainder
517 ÷ 2 = 258 with 1 remainder
258 ÷ 2 = 129 with 0 remainder
129 ÷ 2 = 64 with 1 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 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 4027 octal to binary:

4027 octal = 100000010111 binary

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

4030 octal to binary
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