A5FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number A5FA 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 A5FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A5FA by 16⁰, multiply the second to last digit in A5FA by 16¹, multiply the third to last digit in A5FA by 16², multiply the fourth to last digit in A5FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
5 × 16² = 1280
A × 16³ = 40960

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:

10 + 240 + 1280 + 40960 = 42490

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.

42490 ÷ 2 = 21245 with 0 remainder
21245 ÷ 2 = 10622 with 1 remainder
10622 ÷ 2 = 5311 with 0 remainder
5311 ÷ 2 = 2655 with 1 remainder
2655 ÷ 2 = 1327 with 1 remainder
1327 ÷ 2 = 663 with 1 remainder
663 ÷ 2 = 331 with 1 remainder
331 ÷ 2 = 165 with 1 remainder
165 ÷ 2 = 82 with 1 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 A5FA hexadecimal to binary:

A5FA hexadecimal = 1010010111111010 binary

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A5FB hexadecimal to binary
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