3673 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3673 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 3673 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3673 by 16⁰, multiply the second to last digit in 3673 by 16¹, multiply the third to last digit in 3673 by 16², multiply the fourth to last digit in 3673 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
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:

3 + 112 + 1536 + 12288 = 13939

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.

13939 ÷ 2 = 6969 with 1 remainder
6969 ÷ 2 = 3484 with 1 remainder
3484 ÷ 2 = 1742 with 0 remainder
1742 ÷ 2 = 871 with 0 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 3673 hexadecimal to binary:

3673 hexadecimal = 11011001110011 binary

Hexadecimal to Binary Converter
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3674 hexadecimal to binary
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