EB15 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB15 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 EB15 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB15 by 16⁰, multiply the second to last digit in EB15 by 16¹, multiply the third to last digit in EB15 by 16², multiply the fourth to last digit in EB15 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
1 × 16¹ = 16
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:

5 + 16 + 2816 + 57344 = 60181

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.

60181 ÷ 2 = 30090 with 1 remainder
30090 ÷ 2 = 15045 with 0 remainder
15045 ÷ 2 = 7522 with 1 remainder
7522 ÷ 2 = 3761 with 0 remainder
3761 ÷ 2 = 1880 with 1 remainder
1880 ÷ 2 = 940 with 0 remainder
940 ÷ 2 = 470 with 0 remainder
470 ÷ 2 = 235 with 0 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 EB15 hexadecimal to binary:

EB15 hexadecimal = 1110101100010101 binary

Hexadecimal to Binary Converter
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EB16 hexadecimal to binary
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