EB3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB3F 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 EB3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB3F by 16⁰, multiply the second to last digit in EB3F by 16¹, multiply the third to last digit in EB3F by 16², multiply the fourth to last digit in EB3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
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:

15 + 48 + 2816 + 57344 = 60223

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.

60223 ÷ 2 = 30111 with 1 remainder
30111 ÷ 2 = 15055 with 1 remainder
15055 ÷ 2 = 7527 with 1 remainder
7527 ÷ 2 = 3763 with 1 remainder
3763 ÷ 2 = 1881 with 1 remainder
1881 ÷ 2 = 940 with 1 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 EB3F hexadecimal to binary:

EB3F hexadecimal = 1110101100111111 binary

Hexadecimal to Binary Converter
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