BE4B hexadecimal to binary

Here we will show you how to convert the hexadecimal number BE4B 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 BE4B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BE4B by 16⁰, multiply the second to last digit in BE4B by 16¹, multiply the third to last digit in BE4B by 16², multiply the fourth to last digit in BE4B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
4 × 16¹ = 64
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:

11 + 64 + 3584 + 45056 = 48715

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.

48715 ÷ 2 = 24357 with 1 remainder
24357 ÷ 2 = 12178 with 1 remainder
12178 ÷ 2 = 6089 with 0 remainder
6089 ÷ 2 = 3044 with 1 remainder
3044 ÷ 2 = 1522 with 0 remainder
1522 ÷ 2 = 761 with 0 remainder
761 ÷ 2 = 380 with 1 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 BE4B hexadecimal to binary:

BE4B hexadecimal = 1011111001001011 binary

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