7DBE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7DBE 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 7DBE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7DBE by 16⁰, multiply the second to last digit in 7DBE by 16¹, multiply the third to last digit in 7DBE by 16², multiply the fourth to last digit in 7DBE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
B × 16¹ = 176
D × 16² = 3328
7 × 16³ = 28672

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:

14 + 176 + 3328 + 28672 = 32190

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.

32190 ÷ 2 = 16095 with 0 remainder
16095 ÷ 2 = 8047 with 1 remainder
8047 ÷ 2 = 4023 with 1 remainder
4023 ÷ 2 = 2011 with 1 remainder
2011 ÷ 2 = 1005 with 1 remainder
1005 ÷ 2 = 502 with 1 remainder
502 ÷ 2 = 251 with 0 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 7DBE hexadecimal to binary:

7DBE hexadecimal = 111110110111110 binary

Hexadecimal to Binary Converter
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7DBF hexadecimal to binary
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