1011001110111000 binary to octal

Here we will show you how to convert the binary number 1011001110111000 to an octal number. First note that the binary number system only has two different digits (0 & 1) and the octal number system has 8 different digits (0 1 2 3 4 5 6 7).

The four steps used to convert 1011001110111000 from binary to octal are explained below.

Step 1)
Multiply the last digit in 1011001110111000 by 2⁰, multiply the second to last digit in 1011001110111000 by 2¹, multiply the third to last digit in 1011001110111000 by 2², multiply the fourth to last digit in 1011001110111000 by 2³, and so on, until all the digits are used:

0 × 2⁰ = 0
0 × 2¹ = 0
0 × 2² = 0
1 × 2³ = 8
1 × 2⁴ = 16
1 × 2⁵ = 32
0 × 2⁶ = 0
1 × 2⁷ = 128
1 × 2⁸ = 256
1 × 2⁹ = 512
0 × 2¹⁰ = 0
0 × 2¹¹ = 0
1 × 2¹² = 4096
1 × 2¹³ = 8192
0 × 2¹⁴ = 0
1 × 2¹⁵ = 32768

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

0 + 0 + 0 + 8 + 16 + 32 + 0 + 128 + 256 + 512 + 0 + 0 + 4096 + 8192 + 0 + 32768 = 46008

Step 3)
Divide the sum from Step 2 by 8. Put the remainder aside. Then divide the whole part by 8 again, and put the remainder aside again. Keep doing this until the whole part is 0.

46008 ÷ 8 = 5751 with 0 remainder
5751 ÷ 8 = 718 with 7 remainder
718 ÷ 8 = 89 with 6 remainder
89 ÷ 8 = 11 with 1 remainder
11 ÷ 8 = 1 with 3 remainder
1 ÷ 8 = 0 with 1 remainder

Step 4)
Take the remainders from Step 3 and put them together in reverse order to get the answer to 1011001110111000 binary to octal:

1011001110111000 binary = 131670 octal

Binary to Octal Converter
Here you can convert another binary number to octal. Remember, binary numbers only include digits 0 and 1.

1011001110111001 binary to octal
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