BDE1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BDE1 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 BDE1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BDE1 by 16⁰, multiply the second to last digit in BDE1 by 16¹, multiply the third to last digit in BDE1 by 16², multiply the fourth to last digit in BDE1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
E × 16¹ = 224
D × 16² = 3328
B × 16³ = 45056

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:

1 + 224 + 3328 + 45056 = 48609

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.

48609 ÷ 2 = 24304 with 1 remainder
24304 ÷ 2 = 12152 with 0 remainder
12152 ÷ 2 = 6076 with 0 remainder
6076 ÷ 2 = 3038 with 0 remainder
3038 ÷ 2 = 1519 with 0 remainder
1519 ÷ 2 = 759 with 1 remainder
759 ÷ 2 = 379 with 1 remainder
379 ÷ 2 = 189 with 1 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 BDE1 hexadecimal to binary:

BDE1 hexadecimal = 1011110111100001 binary

Hexadecimal to Binary Converter
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BDE2 hexadecimal to binary
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