100B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 100B 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 100B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 100B by 16⁰, multiply the second to last digit in 100B by 16¹, multiply the third to last digit in 100B by 16², multiply the fourth to last digit in 100B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
0 × 16² = 0
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:

11 + 0 + 0 + 4096 = 4107

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.

4107 ÷ 2 = 2053 with 1 remainder
2053 ÷ 2 = 1026 with 1 remainder
1026 ÷ 2 = 513 with 0 remainder
513 ÷ 2 = 256 with 1 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 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 100B hexadecimal to binary:

100B hexadecimal = 1000000001011 binary

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