473B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 473B 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 473B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 473B by 16⁰, multiply the second to last digit in 473B by 16¹, multiply the third to last digit in 473B by 16², multiply the fourth to last digit in 473B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
3 × 16¹ = 48
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 + 48 + 1792 + 16384 = 18235

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.

18235 ÷ 2 = 9117 with 1 remainder
9117 ÷ 2 = 4558 with 1 remainder
4558 ÷ 2 = 2279 with 0 remainder
2279 ÷ 2 = 1139 with 1 remainder
1139 ÷ 2 = 569 with 1 remainder
569 ÷ 2 = 284 with 1 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 473B hexadecimal to binary:

473B hexadecimal = 100011100111011 binary

Hexadecimal to Binary Converter
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