
Here we will show you how to convert the hexadecimal number B196 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 B196 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B196 by 16⁰, multiply the second to last digit in B196 by 16¹, multiply the third to last digit in B196 by 16², multiply the fourth to last digit in B196 by 16³, and so on, until all the digits are used.
6 × 16⁰ = 6
9 × 16¹ = 144
1 × 16² = 256
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:
6 + 144 + 256 + 45056 = 45462
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.
45462 ÷ 2 = 22731 with 0 remainder
22731 ÷ 2 = 11365 with 1 remainder
11365 ÷ 2 = 5682 with 1 remainder
5682 ÷ 2 = 2841 with 0 remainder
2841 ÷ 2 = 1420 with 1 remainder
1420 ÷ 2 = 710 with 0 remainder
710 ÷ 2 = 355 with 0 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 B196 hexadecimal to binary:
B196 hexadecimal = 1011000110010110 binary
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B197 hexadecimal to binary
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