63BD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 63BD 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 63BD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 63BD by 16⁰, multiply the second to last digit in 63BD by 16¹, multiply the third to last digit in 63BD by 16², multiply the fourth to last digit in 63BD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
B × 16¹ = 176
3 × 16² = 768
6 × 16³ = 24576

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:

13 + 176 + 768 + 24576 = 25533

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.

25533 ÷ 2 = 12766 with 1 remainder
12766 ÷ 2 = 6383 with 0 remainder
6383 ÷ 2 = 3191 with 1 remainder
3191 ÷ 2 = 1595 with 1 remainder
1595 ÷ 2 = 797 with 1 remainder
797 ÷ 2 = 398 with 1 remainder
398 ÷ 2 = 199 with 0 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 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 63BD hexadecimal to binary:

63BD hexadecimal = 110001110111101 binary

Hexadecimal to Binary Converter
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