101C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 101C 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 101C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 101C by 16⁰, multiply the second to last digit in 101C by 16¹, multiply the third to last digit in 101C by 16², multiply the fourth to last digit in 101C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
1 × 16¹ = 16
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:

12 + 16 + 0 + 4096 = 4124

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.

4124 ÷ 2 = 2062 with 0 remainder
2062 ÷ 2 = 1031 with 0 remainder
1031 ÷ 2 = 515 with 1 remainder
515 ÷ 2 = 257 with 1 remainder
257 ÷ 2 = 128 with 1 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 101C hexadecimal to binary:

101C hexadecimal = 1000000011100 binary

Hexadecimal to Binary Converter
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