B405 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B405 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 B405 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B405 by 16⁰, multiply the second to last digit in B405 by 16¹, multiply the third to last digit in B405 by 16², multiply the fourth to last digit in B405 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
4 × 16² = 1024
B × 16³ = 45056

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:

5 + 0 + 1024 + 45056 = 46085

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.

46085 ÷ 2 = 23042 with 1 remainder
23042 ÷ 2 = 11521 with 0 remainder
11521 ÷ 2 = 5760 with 1 remainder
5760 ÷ 2 = 2880 with 0 remainder
2880 ÷ 2 = 1440 with 0 remainder
1440 ÷ 2 = 720 with 0 remainder
720 ÷ 2 = 360 with 0 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 B405 hexadecimal to binary:

B405 hexadecimal = 1011010000000101 binary

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B406 hexadecimal to binary
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