11420 octal to binary

Here we will show you how to convert the octal number 11420 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 11420 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11420 by 8⁰, multiply the second to last digit in 11420 by 8¹, multiply the third to last digit in 11420 by 8², multiply the fourth to last digit in 11420 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
2 × 8¹ = 16
4 × 8² = 256
1 × 8³ = 512
1 × 8⁴ = 4096

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

0 + 16 + 256 + 512 + 4096 = 4880

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.

4880 ÷ 2 = 2440 with 0 remainder
2440 ÷ 2 = 1220 with 0 remainder
1220 ÷ 2 = 610 with 0 remainder
610 ÷ 2 = 305 with 0 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 11420 octal to binary:

11420 octal = 1001100010000 binary

Octal to Binary Converter
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11421 octal to binary
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