881F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 881F 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 881F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 881F by 16⁰, multiply the second to last digit in 881F by 16¹, multiply the third to last digit in 881F by 16², multiply the fourth to last digit in 881F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
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 + 16 + 2048 + 32768 = 34847

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.

34847 ÷ 2 = 17423 with 1 remainder
17423 ÷ 2 = 8711 with 1 remainder
8711 ÷ 2 = 4355 with 1 remainder
4355 ÷ 2 = 2177 with 1 remainder
2177 ÷ 2 = 1088 with 1 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 881F hexadecimal to binary:

881F hexadecimal = 1000100000011111 binary

Hexadecimal to Binary Converter
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