3678 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3678 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 3678 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3678 by 16⁰, multiply the second to last digit in 3678 by 16¹, multiply the third to last digit in 3678 by 16², multiply the fourth to last digit in 3678 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
7 × 16¹ = 112
6 × 16² = 1536
3 × 16³ = 12288

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:

8 + 112 + 1536 + 12288 = 13944

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.

13944 ÷ 2 = 6972 with 0 remainder
6972 ÷ 2 = 3486 with 0 remainder
3486 ÷ 2 = 1743 with 0 remainder
1743 ÷ 2 = 871 with 1 remainder
871 ÷ 2 = 435 with 1 remainder
435 ÷ 2 = 217 with 1 remainder
217 ÷ 2 = 108 with 1 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 3678 hexadecimal to binary:

3678 hexadecimal = 11011001111000 binary

Hexadecimal to Binary Converter
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3679 hexadecimal to binary
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