6201 octal to binary

Here we will show you how to convert the octal number 6201 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 6201 from octal to binary are explained below.

Step 1)
Multiply the last digit in 6201 by 8⁰, multiply the second to last digit in 6201 by 8¹, multiply the third to last digit in 6201 by 8², multiply the fourth to last digit in 6201 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
0 × 8¹ = 0
2 × 8² = 128
6 × 8³ = 3072

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

1 + 0 + 128 + 3072 = 3201

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.

3201 ÷ 2 = 1600 with 1 remainder
1600 ÷ 2 = 800 with 0 remainder
800 ÷ 2 = 400 with 0 remainder
400 ÷ 2 = 200 with 0 remainder
200 ÷ 2 = 100 with 0 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 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 6201 octal to binary:

6201 octal = 110010000001 binary

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

6202 octal to binary
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