7C83 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7C83 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 7C83 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7C83 by 16⁰, multiply the second to last digit in 7C83 by 16¹, multiply the third to last digit in 7C83 by 16², multiply the fourth to last digit in 7C83 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
8 × 16¹ = 128
C × 16² = 3072
7 × 16³ = 28672

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:

3 + 128 + 3072 + 28672 = 31875

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.

31875 ÷ 2 = 15937 with 1 remainder
15937 ÷ 2 = 7968 with 1 remainder
7968 ÷ 2 = 3984 with 0 remainder
3984 ÷ 2 = 1992 with 0 remainder
1992 ÷ 2 = 996 with 0 remainder
996 ÷ 2 = 498 with 0 remainder
498 ÷ 2 = 249 with 0 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 7C83 hexadecimal to binary:

7C83 hexadecimal = 111110010000011 binary

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7C84 hexadecimal to binary
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