24661 octal to binary

Here we will show you how to convert the octal number 24661 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 24661 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24661 by 8⁰, multiply the second to last digit in 24661 by 8¹, multiply the third to last digit in 24661 by 8², multiply the fourth to last digit in 24661 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
6 × 8¹ = 48
6 × 8² = 384
4 × 8³ = 2048
2 × 8⁴ = 8192

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

1 + 48 + 384 + 2048 + 8192 = 10673

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.

10673 ÷ 2 = 5336 with 1 remainder
5336 ÷ 2 = 2668 with 0 remainder
2668 ÷ 2 = 1334 with 0 remainder
1334 ÷ 2 = 667 with 0 remainder
667 ÷ 2 = 333 with 1 remainder
333 ÷ 2 = 166 with 1 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 24661 octal to binary:

24661 octal = 10100110110001 binary

Octal to Binary Converter
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24662 octal to binary
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