7984 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7984 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 7984 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7984 by 16⁰, multiply the second to last digit in 7984 by 16¹, multiply the third to last digit in 7984 by 16², multiply the fourth to last digit in 7984 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
8 × 16¹ = 128
9 × 16² = 2304
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:

4 + 128 + 2304 + 28672 = 31108

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.

31108 ÷ 2 = 15554 with 0 remainder
15554 ÷ 2 = 7777 with 0 remainder
7777 ÷ 2 = 3888 with 1 remainder
3888 ÷ 2 = 1944 with 0 remainder
1944 ÷ 2 = 972 with 0 remainder
972 ÷ 2 = 486 with 0 remainder
486 ÷ 2 = 243 with 0 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 7984 hexadecimal to binary:

7984 hexadecimal = 111100110000100 binary

Hexadecimal to Binary Converter
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7985 hexadecimal to binary
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