386A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 386A 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 386A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 386A by 16⁰, multiply the second to last digit in 386A by 16¹, multiply the third to last digit in 386A by 16², multiply the fourth to last digit in 386A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
8 × 16² = 2048
3 × 16³ = 12288

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 + 96 + 2048 + 12288 = 14442

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.

14442 ÷ 2 = 7221 with 0 remainder
7221 ÷ 2 = 3610 with 1 remainder
3610 ÷ 2 = 1805 with 0 remainder
1805 ÷ 2 = 902 with 1 remainder
902 ÷ 2 = 451 with 0 remainder
451 ÷ 2 = 225 with 1 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 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 386A hexadecimal to binary:

386A hexadecimal = 11100001101010 binary

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386B hexadecimal to binary
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