
Here we will show you how to convert the hexadecimal number EBD0 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 EBD0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in EBD0 by 16⁰, multiply the second to last digit in EBD0 by 16¹, multiply the third to last digit in EBD0 by 16², multiply the fourth to last digit in EBD0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
D × 16¹ = 208
B × 16² = 2816
E × 16³ = 57344
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:
0 + 208 + 2816 + 57344 = 60368
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.
60368 ÷ 2 = 30184 with 0 remainder
30184 ÷ 2 = 15092 with 0 remainder
15092 ÷ 2 = 7546 with 0 remainder
7546 ÷ 2 = 3773 with 0 remainder
3773 ÷ 2 = 1886 with 1 remainder
1886 ÷ 2 = 943 with 0 remainder
943 ÷ 2 = 471 with 1 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 EBD0 hexadecimal to binary:
EBD0 hexadecimal = 1110101111010000 binary
Hexadecimal to Binary Converter
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EBD1 hexadecimal to binary
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