3B40 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3B40 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 3B40 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3B40 by 16⁰, multiply the second to last digit in 3B40 by 16¹, multiply the third to last digit in 3B40 by 16², multiply the fourth to last digit in 3B40 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
B × 16² = 2816
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:

0 + 64 + 2816 + 12288 = 15168

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.

15168 ÷ 2 = 7584 with 0 remainder
7584 ÷ 2 = 3792 with 0 remainder
3792 ÷ 2 = 1896 with 0 remainder
1896 ÷ 2 = 948 with 0 remainder
948 ÷ 2 = 474 with 0 remainder
474 ÷ 2 = 237 with 0 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 3B40 hexadecimal to binary:

3B40 hexadecimal = 11101101000000 binary

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3B41 hexadecimal to binary
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