
Here we will show you how to convert the hexadecimal number 3622 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 3622 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 3622 by 16⁰, multiply the second to last digit in 3622 by 16¹, multiply the third to last digit in 3622 by 16², multiply the fourth to last digit in 3622 by 16³, and so on, until all the digits are used.
2 × 16⁰ = 2
2 × 16¹ = 32
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:
2 + 32 + 1536 + 12288 = 13858
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.
13858 ÷ 2 = 6929 with 0 remainder
6929 ÷ 2 = 3464 with 1 remainder
3464 ÷ 2 = 1732 with 0 remainder
1732 ÷ 2 = 866 with 0 remainder
866 ÷ 2 = 433 with 0 remainder
433 ÷ 2 = 216 with 1 remainder
216 ÷ 2 = 108 with 0 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 3622 hexadecimal to binary:
3622 hexadecimal = 11011000100010 binary
Hexadecimal to Binary Converter
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3623 hexadecimal to binary
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