5AB4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5AB4 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 5AB4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5AB4 by 16⁰, multiply the second to last digit in 5AB4 by 16¹, multiply the third to last digit in 5AB4 by 16², multiply the fourth to last digit in 5AB4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
B × 16¹ = 176
A × 16² = 2560
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:

4 + 176 + 2560 + 20480 = 23220

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.

23220 ÷ 2 = 11610 with 0 remainder
11610 ÷ 2 = 5805 with 0 remainder
5805 ÷ 2 = 2902 with 1 remainder
2902 ÷ 2 = 1451 with 0 remainder
1451 ÷ 2 = 725 with 1 remainder
725 ÷ 2 = 362 with 1 remainder
362 ÷ 2 = 181 with 0 remainder
181 ÷ 2 = 90 with 1 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 5AB4 hexadecimal to binary:

5AB4 hexadecimal = 101101010110100 binary

Hexadecimal to Binary Converter
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5AB5 hexadecimal to binary
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