13764 octal to binary

Here we will show you how to convert the octal number 13764 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 13764 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13764 by 8⁰, multiply the second to last digit in 13764 by 8¹, multiply the third to last digit in 13764 by 8², multiply the fourth to last digit in 13764 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
6 × 8¹ = 48
7 × 8² = 448
3 × 8³ = 1536
1 × 8⁴ = 4096

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

4 + 48 + 448 + 1536 + 4096 = 6132

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.

6132 ÷ 2 = 3066 with 0 remainder
3066 ÷ 2 = 1533 with 0 remainder
1533 ÷ 2 = 766 with 1 remainder
766 ÷ 2 = 383 with 0 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 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 13764 octal to binary:

13764 octal = 1011111110100 binary

Octal to Binary Converter
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13765 octal to binary
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