1100010110100001 binary to octal

Here we will show you how to convert the binary number 1100010110100001 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 1100010110100001 from binary to octal are explained below.

Step 1)
Multiply the last digit in 1100010110100001 by 2⁰, multiply the second to last digit in 1100010110100001 by 2¹, multiply the third to last digit in 1100010110100001 by 2², multiply the fourth to last digit in 1100010110100001 by 2³, and so on, until all the digits are used:

1 × 2⁰ = 1
0 × 2¹ = 0
0 × 2² = 0
0 × 2³ = 0
0 × 2⁴ = 0
1 × 2⁵ = 32
0 × 2⁶ = 0
1 × 2⁷ = 128
1 × 2⁸ = 256
0 × 2⁹ = 0
1 × 2¹⁰ = 1024
0 × 2¹¹ = 0
0 × 2¹² = 0
0 × 2¹³ = 0
1 × 2¹⁴ = 16384
1 × 2¹⁵ = 32768

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

1 + 0 + 0 + 0 + 0 + 32 + 0 + 128 + 256 + 0 + 1024 + 0 + 0 + 0 + 16384 + 32768 = 50593

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.

50593 ÷ 8 = 6324 with 1 remainder
6324 ÷ 8 = 790 with 4 remainder
790 ÷ 8 = 98 with 6 remainder
98 ÷ 8 = 12 with 2 remainder
12 ÷ 8 = 1 with 4 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 1100010110100001 binary to octal:

1100010110100001 binary = 142641 octal

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

1100010110100010 binary to octal
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