54A8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 54A8 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 54A8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 54A8 by 16⁰, multiply the second to last digit in 54A8 by 16¹, multiply the third to last digit in 54A8 by 16², multiply the fourth to last digit in 54A8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
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:

8 + 160 + 1024 + 20480 = 21672

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.

21672 ÷ 2 = 10836 with 0 remainder
10836 ÷ 2 = 5418 with 0 remainder
5418 ÷ 2 = 2709 with 0 remainder
2709 ÷ 2 = 1354 with 1 remainder
1354 ÷ 2 = 677 with 0 remainder
677 ÷ 2 = 338 with 1 remainder
338 ÷ 2 = 169 with 0 remainder
169 ÷ 2 = 84 with 1 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 54A8 hexadecimal to binary:

54A8 hexadecimal = 101010010101000 binary

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54A9 hexadecimal to binary
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