8380 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8380 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 8380 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8380 by 16⁰, multiply the second to last digit in 8380 by 16¹, multiply the third to last digit in 8380 by 16², multiply the fourth to last digit in 8380 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
8 × 16¹ = 128
3 × 16² = 768
8 × 16³ = 32768

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 + 32768 = 33664

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.

33664 ÷ 2 = 16832 with 0 remainder
16832 ÷ 2 = 8416 with 0 remainder
8416 ÷ 2 = 4208 with 0 remainder
4208 ÷ 2 = 2104 with 0 remainder
2104 ÷ 2 = 1052 with 0 remainder
1052 ÷ 2 = 526 with 0 remainder
526 ÷ 2 = 263 with 0 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8380 hexadecimal to binary:

8380 hexadecimal = 1000001110000000 binary

Hexadecimal to Binary Converter
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