21042 octal to binary

Here we will show you how to convert the octal number 21042 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 21042 from octal to binary are explained below.

Step 1)
Multiply the last digit in 21042 by 8⁰, multiply the second to last digit in 21042 by 8¹, multiply the third to last digit in 21042 by 8², multiply the fourth to last digit in 21042 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
4 × 8¹ = 32
0 × 8² = 0
1 × 8³ = 512
2 × 8⁴ = 8192

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

2 + 32 + 0 + 512 + 8192 = 8738

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.

8738 ÷ 2 = 4369 with 0 remainder
4369 ÷ 2 = 2184 with 1 remainder
2184 ÷ 2 = 1092 with 0 remainder
1092 ÷ 2 = 546 with 0 remainder
546 ÷ 2 = 273 with 0 remainder
273 ÷ 2 = 136 with 1 remainder
136 ÷ 2 = 68 with 0 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 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 21042 octal to binary:

21042 octal = 10001000100010 binary

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

21043 octal to binary
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