7940 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7940 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 7940 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7940 by 16⁰, multiply the second to last digit in 7940 by 16¹, multiply the third to last digit in 7940 by 16², multiply the fourth to last digit in 7940 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
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:

0 + 64 + 2304 + 28672 = 31040

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.

31040 ÷ 2 = 15520 with 0 remainder
15520 ÷ 2 = 7760 with 0 remainder
7760 ÷ 2 = 3880 with 0 remainder
3880 ÷ 2 = 1940 with 0 remainder
1940 ÷ 2 = 970 with 0 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 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 7940 hexadecimal to binary:

7940 hexadecimal = 111100101000000 binary

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7941 hexadecimal to binary
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