2462 octal to binary

Here we will show you how to convert the octal number 2462 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 2462 from octal to binary are explained below.

Step 1)
Multiply the last digit in 2462 by 8⁰, multiply the second to last digit in 2462 by 8¹, multiply the third to last digit in 2462 by 8², multiply the fourth to last digit in 2462 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
6 × 8¹ = 48
4 × 8² = 256
2 × 8³ = 1024

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

2 + 48 + 256 + 1024 = 1330

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.

1330 ÷ 2 = 665 with 0 remainder
665 ÷ 2 = 332 with 1 remainder
332 ÷ 2 = 166 with 0 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 2462 octal to binary:

2462 octal = 10100110010 binary

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

2463 octal to binary
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