878B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 878B 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 878B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 878B by 16⁰, multiply the second to last digit in 878B by 16¹, multiply the third to last digit in 878B by 16², multiply the fourth to last digit in 878B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
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:

11 + 128 + 1792 + 32768 = 34699

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.

34699 ÷ 2 = 17349 with 1 remainder
17349 ÷ 2 = 8674 with 1 remainder
8674 ÷ 2 = 4337 with 0 remainder
4337 ÷ 2 = 2168 with 1 remainder
2168 ÷ 2 = 1084 with 0 remainder
1084 ÷ 2 = 542 with 0 remainder
542 ÷ 2 = 271 with 0 remainder
271 ÷ 2 = 135 with 1 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 878B hexadecimal to binary:

878B hexadecimal = 1000011110001011 binary

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