896A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 896A 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 896A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 896A by 16⁰, multiply the second to last digit in 896A by 16¹, multiply the third to last digit in 896A by 16², multiply the fourth to last digit in 896A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
9 × 16² = 2304
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:

10 + 96 + 2304 + 32768 = 35178

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.

35178 ÷ 2 = 17589 with 0 remainder
17589 ÷ 2 = 8794 with 1 remainder
8794 ÷ 2 = 4397 with 0 remainder
4397 ÷ 2 = 2198 with 1 remainder
2198 ÷ 2 = 1099 with 0 remainder
1099 ÷ 2 = 549 with 1 remainder
549 ÷ 2 = 274 with 1 remainder
274 ÷ 2 = 137 with 0 remainder
137 ÷ 2 = 68 with 1 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 896A hexadecimal to binary:

896A hexadecimal = 1000100101101010 binary

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896B hexadecimal to binary
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