13741 octal to binary

Here we will show you how to convert the octal number 13741 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 13741 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13741 by 8⁰, multiply the second to last digit in 13741 by 8¹, multiply the third to last digit in 13741 by 8², multiply the fourth to last digit in 13741 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
4 × 8¹ = 32
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:

1 + 32 + 448 + 1536 + 4096 = 6113

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.

6113 ÷ 2 = 3056 with 1 remainder
3056 ÷ 2 = 1528 with 0 remainder
1528 ÷ 2 = 764 with 0 remainder
764 ÷ 2 = 382 with 0 remainder
382 ÷ 2 = 191 with 0 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 13741 octal to binary:

13741 octal = 1011111100001 binary

Octal to Binary Converter
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13742 octal to binary
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