BE3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number BE3F 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 BE3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BE3F by 16⁰, multiply the second to last digit in BE3F by 16¹, multiply the third to last digit in BE3F by 16², multiply the fourth to last digit in BE3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
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:

15 + 48 + 3584 + 45056 = 48703

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.

48703 ÷ 2 = 24351 with 1 remainder
24351 ÷ 2 = 12175 with 1 remainder
12175 ÷ 2 = 6087 with 1 remainder
6087 ÷ 2 = 3043 with 1 remainder
3043 ÷ 2 = 1521 with 1 remainder
1521 ÷ 2 = 760 with 1 remainder
760 ÷ 2 = 380 with 0 remainder
380 ÷ 2 = 190 with 0 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 BE3F hexadecimal to binary:

BE3F hexadecimal = 1011111000111111 binary

Hexadecimal to Binary Converter
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