637D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 637D 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 637D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 637D by 16⁰, multiply the second to last digit in 637D by 16¹, multiply the third to last digit in 637D by 16², multiply the fourth to last digit in 637D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
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 + 112 + 768 + 24576 = 25469

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.

25469 ÷ 2 = 12734 with 1 remainder
12734 ÷ 2 = 6367 with 0 remainder
6367 ÷ 2 = 3183 with 1 remainder
3183 ÷ 2 = 1591 with 1 remainder
1591 ÷ 2 = 795 with 1 remainder
795 ÷ 2 = 397 with 1 remainder
397 ÷ 2 = 198 with 1 remainder
198 ÷ 2 = 99 with 0 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 637D hexadecimal to binary:

637D hexadecimal = 110001101111101 binary

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