471B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 471B 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 471B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 471B by 16⁰, multiply the second to last digit in 471B by 16¹, multiply the third to last digit in 471B by 16², multiply the fourth to last digit in 471B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
1 × 16¹ = 16
7 × 16² = 1792
4 × 16³ = 16384

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:

11 + 16 + 1792 + 16384 = 18203

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.

18203 ÷ 2 = 9101 with 1 remainder
9101 ÷ 2 = 4550 with 1 remainder
4550 ÷ 2 = 2275 with 0 remainder
2275 ÷ 2 = 1137 with 1 remainder
1137 ÷ 2 = 568 with 1 remainder
568 ÷ 2 = 284 with 0 remainder
284 ÷ 2 = 142 with 0 remainder
142 ÷ 2 = 71 with 0 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 471B hexadecimal to binary:

471B hexadecimal = 100011100011011 binary

Hexadecimal to Binary Converter
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