6121 octal to binary

Here we will show you how to convert the octal number 6121 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 6121 from octal to binary are explained below.

Step 1)
Multiply the last digit in 6121 by 8⁰, multiply the second to last digit in 6121 by 8¹, multiply the third to last digit in 6121 by 8², multiply the fourth to last digit in 6121 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
1 × 8² = 64
6 × 8³ = 3072

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

1 + 16 + 64 + 3072 = 3153

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.

3153 ÷ 2 = 1576 with 1 remainder
1576 ÷ 2 = 788 with 0 remainder
788 ÷ 2 = 394 with 0 remainder
394 ÷ 2 = 197 with 0 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 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 6121 octal to binary:

6121 octal = 110001010001 binary

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

6122 octal to binary
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