3B63 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3B63 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 3B63 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3B63 by 16⁰, multiply the second to last digit in 3B63 by 16¹, multiply the third to last digit in 3B63 by 16², multiply the fourth to last digit in 3B63 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
6 × 16¹ = 96
B × 16² = 2816
3 × 16³ = 12288

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:

3 + 96 + 2816 + 12288 = 15203

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.

15203 ÷ 2 = 7601 with 1 remainder
7601 ÷ 2 = 3800 with 1 remainder
3800 ÷ 2 = 1900 with 0 remainder
1900 ÷ 2 = 950 with 0 remainder
950 ÷ 2 = 475 with 0 remainder
475 ÷ 2 = 237 with 1 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 3B63 hexadecimal to binary:

3B63 hexadecimal = 11101101100011 binary

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3B64 hexadecimal to binary
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