6BEB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6BEB 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 6BEB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6BEB by 16⁰, multiply the second to last digit in 6BEB by 16¹, multiply the third to last digit in 6BEB by 16², multiply the fourth to last digit in 6BEB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
E × 16¹ = 224
B × 16² = 2816
6 × 16³ = 24576

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 + 224 + 2816 + 24576 = 27627

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.

27627 ÷ 2 = 13813 with 1 remainder
13813 ÷ 2 = 6906 with 1 remainder
6906 ÷ 2 = 3453 with 0 remainder
3453 ÷ 2 = 1726 with 1 remainder
1726 ÷ 2 = 863 with 0 remainder
863 ÷ 2 = 431 with 1 remainder
431 ÷ 2 = 215 with 1 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 6BEB hexadecimal to binary:

6BEB hexadecimal = 110101111101011 binary

Hexadecimal to Binary Converter
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6BEC hexadecimal to binary
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