1154 octal to binary

Here we will show you how to convert the octal number 1154 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 1154 from octal to binary are explained below.

Step 1)
Multiply the last digit in 1154 by 8⁰, multiply the second to last digit in 1154 by 8¹, multiply the third to last digit in 1154 by 8², multiply the fourth to last digit in 1154 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
5 × 8¹ = 40
1 × 8² = 64
1 × 8³ = 512

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

4 + 40 + 64 + 512 = 620

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.

620 ÷ 2 = 310 with 0 remainder
310 ÷ 2 = 155 with 0 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 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 1154 octal to binary:

1154 octal = 1001101100 binary

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

1155 octal to binary
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