4137 octal to binary

Here we will show you how to convert the octal number 4137 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 4137 from octal to binary are explained below.

Step 1)
Multiply the last digit in 4137 by 8⁰, multiply the second to last digit in 4137 by 8¹, multiply the third to last digit in 4137 by 8², multiply the fourth to last digit in 4137 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
3 × 8¹ = 24
1 × 8² = 64
4 × 8³ = 2048

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

7 + 24 + 64 + 2048 = 2143

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.

2143 ÷ 2 = 1071 with 1 remainder
1071 ÷ 2 = 535 with 1 remainder
535 ÷ 2 = 267 with 1 remainder
267 ÷ 2 = 133 with 1 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 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 4137 octal to binary:

4137 octal = 100001011111 binary

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

4140 octal to binary
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