A380 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A380 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 A380 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A380 by 16⁰, multiply the second to last digit in A380 by 16¹, multiply the third to last digit in A380 by 16², multiply the fourth to last digit in A380 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
8 × 16¹ = 128
3 × 16² = 768
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:

0 + 128 + 768 + 40960 = 41856

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.

41856 ÷ 2 = 20928 with 0 remainder
20928 ÷ 2 = 10464 with 0 remainder
10464 ÷ 2 = 5232 with 0 remainder
5232 ÷ 2 = 2616 with 0 remainder
2616 ÷ 2 = 1308 with 0 remainder
1308 ÷ 2 = 654 with 0 remainder
654 ÷ 2 = 327 with 0 remainder
327 ÷ 2 = 163 with 1 remainder
163 ÷ 2 = 81 with 1 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 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 A380 hexadecimal to binary:

A380 hexadecimal = 1010001110000000 binary

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A381 hexadecimal to binary
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