198A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 198A 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 198A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 198A by 16⁰, multiply the second to last digit in 198A by 16¹, multiply the third to last digit in 198A by 16², multiply the fourth to last digit in 198A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
9 × 16² = 2304
1 × 16³ = 4096

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 + 4096 = 6538

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.

6538 ÷ 2 = 3269 with 0 remainder
3269 ÷ 2 = 1634 with 1 remainder
1634 ÷ 2 = 817 with 0 remainder
817 ÷ 2 = 408 with 1 remainder
408 ÷ 2 = 204 with 0 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 198A hexadecimal to binary:

198A hexadecimal = 1100110001010 binary

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198B hexadecimal to binary
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