380A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 380A 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 380A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 380A by 16⁰, multiply the second to last digit in 380A by 16¹, multiply the third to last digit in 380A by 16², multiply the fourth to last digit in 380A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
0 × 16¹ = 0
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 + 0 + 2048 + 12288 = 14346

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.

14346 ÷ 2 = 7173 with 0 remainder
7173 ÷ 2 = 3586 with 1 remainder
3586 ÷ 2 = 1793 with 0 remainder
1793 ÷ 2 = 896 with 1 remainder
896 ÷ 2 = 448 with 0 remainder
448 ÷ 2 = 224 with 0 remainder
224 ÷ 2 = 112 with 0 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 380A hexadecimal to binary:

380A hexadecimal = 11100000001010 binary

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380B hexadecimal to binary
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