5470 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5470 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 5470 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5470 by 16⁰, multiply the second to last digit in 5470 by 16¹, multiply the third to last digit in 5470 by 16², multiply the fourth to last digit in 5470 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
7 × 16¹ = 112
4 × 16² = 1024
5 × 16³ = 20480

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 + 112 + 1024 + 20480 = 21616

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.

21616 ÷ 2 = 10808 with 0 remainder
10808 ÷ 2 = 5404 with 0 remainder
5404 ÷ 2 = 2702 with 0 remainder
2702 ÷ 2 = 1351 with 0 remainder
1351 ÷ 2 = 675 with 1 remainder
675 ÷ 2 = 337 with 1 remainder
337 ÷ 2 = 168 with 1 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 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 5470 hexadecimal to binary:

5470 hexadecimal = 101010001110000 binary

Hexadecimal to Binary Converter
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