
Here we will show you how to convert the hexadecimal number 3691 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 3691 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 3691 by 16⁰, multiply the second to last digit in 3691 by 16¹, multiply the third to last digit in 3691 by 16², multiply the fourth to last digit in 3691 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
9 × 16¹ = 144
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:
1 + 144 + 1536 + 12288 = 13969
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.
13969 ÷ 2 = 6984 with 1 remainder
6984 ÷ 2 = 3492 with 0 remainder
3492 ÷ 2 = 1746 with 0 remainder
1746 ÷ 2 = 873 with 0 remainder
873 ÷ 2 = 436 with 1 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 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 3691 hexadecimal to binary:
3691 hexadecimal = 11011010010001 binary
Hexadecimal to Binary Converter
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3692 hexadecimal to binary
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