B471 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B471 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 B471 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B471 by 16⁰, multiply the second to last digit in B471 by 16¹, multiply the third to last digit in B471 by 16², multiply the fourth to last digit in B471 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
7 × 16¹ = 112
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:

1 + 112 + 1024 + 45056 = 46193

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.

46193 ÷ 2 = 23096 with 1 remainder
23096 ÷ 2 = 11548 with 0 remainder
11548 ÷ 2 = 5774 with 0 remainder
5774 ÷ 2 = 2887 with 0 remainder
2887 ÷ 2 = 1443 with 1 remainder
1443 ÷ 2 = 721 with 1 remainder
721 ÷ 2 = 360 with 1 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 B471 hexadecimal to binary:

B471 hexadecimal = 1011010001110001 binary

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B472 hexadecimal to binary
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