876E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 876E 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 876E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 876E by 16⁰, multiply the second to last digit in 876E by 16¹, multiply the third to last digit in 876E by 16², multiply the fourth to last digit in 876E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
7 × 16² = 1792
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:

14 + 96 + 1792 + 32768 = 34670

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.

34670 ÷ 2 = 17335 with 0 remainder
17335 ÷ 2 = 8667 with 1 remainder
8667 ÷ 2 = 4333 with 1 remainder
4333 ÷ 2 = 2166 with 1 remainder
2166 ÷ 2 = 1083 with 0 remainder
1083 ÷ 2 = 541 with 1 remainder
541 ÷ 2 = 270 with 1 remainder
270 ÷ 2 = 135 with 0 remainder
135 ÷ 2 = 67 with 1 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 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 876E hexadecimal to binary:

876E hexadecimal = 1000011101101110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

876F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.