A4EB hexadecimal to binary

Here we will show you how to convert the hexadecimal number A4EB 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 A4EB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A4EB by 16⁰, multiply the second to last digit in A4EB by 16¹, multiply the third to last digit in A4EB by 16², multiply the fourth to last digit in A4EB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
E × 16¹ = 224
4 × 16² = 1024
A × 16³ = 40960

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 + 1024 + 40960 = 42219

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.

42219 ÷ 2 = 21109 with 1 remainder
21109 ÷ 2 = 10554 with 1 remainder
10554 ÷ 2 = 5277 with 0 remainder
5277 ÷ 2 = 2638 with 1 remainder
2638 ÷ 2 = 1319 with 0 remainder
1319 ÷ 2 = 659 with 1 remainder
659 ÷ 2 = 329 with 1 remainder
329 ÷ 2 = 164 with 1 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 A4EB hexadecimal to binary:

A4EB hexadecimal = 1010010011101011 binary

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A4EC hexadecimal to binary
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