BEC4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BEC4 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 BEC4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BEC4 by 16⁰, multiply the second to last digit in BEC4 by 16¹, multiply the third to last digit in BEC4 by 16², multiply the fourth to last digit in BEC4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
C × 16¹ = 192
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:

4 + 192 + 3584 + 45056 = 48836

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.

48836 ÷ 2 = 24418 with 0 remainder
24418 ÷ 2 = 12209 with 0 remainder
12209 ÷ 2 = 6104 with 1 remainder
6104 ÷ 2 = 3052 with 0 remainder
3052 ÷ 2 = 1526 with 0 remainder
1526 ÷ 2 = 763 with 0 remainder
763 ÷ 2 = 381 with 1 remainder
381 ÷ 2 = 190 with 1 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 BEC4 hexadecimal to binary:

BEC4 hexadecimal = 1011111011000100 binary

Hexadecimal to Binary Converter
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