E3BA hexadecimal to binary

Here we will show you how to convert the hexadecimal number E3BA 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 E3BA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E3BA by 16⁰, multiply the second to last digit in E3BA by 16¹, multiply the third to last digit in E3BA by 16², multiply the fourth to last digit in E3BA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
B × 16¹ = 176
3 × 16² = 768
E × 16³ = 57344

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:

10 + 176 + 768 + 57344 = 58298

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.

58298 ÷ 2 = 29149 with 0 remainder
29149 ÷ 2 = 14574 with 1 remainder
14574 ÷ 2 = 7287 with 0 remainder
7287 ÷ 2 = 3643 with 1 remainder
3643 ÷ 2 = 1821 with 1 remainder
1821 ÷ 2 = 910 with 1 remainder
910 ÷ 2 = 455 with 0 remainder
455 ÷ 2 = 227 with 1 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 E3BA hexadecimal to binary:

E3BA hexadecimal = 1110001110111010 binary

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E3BB hexadecimal to binary
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