B98A hexadecimal to binary

Here we will show you how to convert the hexadecimal number B98A 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 B98A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B98A by 16⁰, multiply the second to last digit in B98A by 16¹, multiply the third to last digit in B98A by 16², multiply the fourth to last digit in B98A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
9 × 16² = 2304
B × 16³ = 45056

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 + 128 + 2304 + 45056 = 47498

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.

47498 ÷ 2 = 23749 with 0 remainder
23749 ÷ 2 = 11874 with 1 remainder
11874 ÷ 2 = 5937 with 0 remainder
5937 ÷ 2 = 2968 with 1 remainder
2968 ÷ 2 = 1484 with 0 remainder
1484 ÷ 2 = 742 with 0 remainder
742 ÷ 2 = 371 with 0 remainder
371 ÷ 2 = 185 with 1 remainder
185 ÷ 2 = 92 with 1 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 B98A hexadecimal to binary:

B98A hexadecimal = 1011100110001010 binary

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B98B hexadecimal to binary
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