BED6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BED6 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 BED6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BED6 by 16⁰, multiply the second to last digit in BED6 by 16¹, multiply the third to last digit in BED6 by 16², multiply the fourth to last digit in BED6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
D × 16¹ = 208
E × 16² = 3584
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:

6 + 208 + 3584 + 45056 = 48854

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.

48854 ÷ 2 = 24427 with 0 remainder
24427 ÷ 2 = 12213 with 1 remainder
12213 ÷ 2 = 6106 with 1 remainder
6106 ÷ 2 = 3053 with 0 remainder
3053 ÷ 2 = 1526 with 1 remainder
1526 ÷ 2 = 763 with 0 remainder
763 ÷ 2 = 381 with 1 remainder
381 ÷ 2 = 190 with 1 remainder
190 ÷ 2 = 95 with 0 remainder
95 ÷ 2 = 47 with 1 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 BED6 hexadecimal to binary:

BED6 hexadecimal = 1011111011010110 binary

Hexadecimal to Binary Converter
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BED7 hexadecimal to binary
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