880F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 880F to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 880F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 880F by 16⁰, multiply the second to last digit in 880F by 16¹, multiply the third to last digit in 880F by 16², multiply the fourth to last digit in 880F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
8 × 16² = 2048
8 × 16³ = 32768

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

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

15 + 0 + 2048 + 32768 = 34831

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.

34831 ÷ 2 = 17415 with 1 remainder
17415 ÷ 2 = 8707 with 1 remainder
8707 ÷ 2 = 4353 with 1 remainder
4353 ÷ 2 = 2176 with 1 remainder
2176 ÷ 2 = 1088 with 0 remainder
1088 ÷ 2 = 544 with 0 remainder
544 ÷ 2 = 272 with 0 remainder
272 ÷ 2 = 136 with 0 remainder
136 ÷ 2 = 68 with 0 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 880F hexadecimal to binary:

880F hexadecimal = 1000100000001111 binary

Hexadecimal to Binary Converter
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