4ABF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4ABF 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 4ABF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4ABF by 16⁰, multiply the second to last digit in 4ABF by 16¹, multiply the third to last digit in 4ABF by 16², multiply the fourth to last digit in 4ABF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
A × 16² = 2560
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:

15 + 176 + 2560 + 16384 = 19135

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.

19135 ÷ 2 = 9567 with 1 remainder
9567 ÷ 2 = 4783 with 1 remainder
4783 ÷ 2 = 2391 with 1 remainder
2391 ÷ 2 = 1195 with 1 remainder
1195 ÷ 2 = 597 with 1 remainder
597 ÷ 2 = 298 with 1 remainder
298 ÷ 2 = 149 with 0 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 4ABF hexadecimal to binary:

4ABF hexadecimal = 100101010111111 binary

Hexadecimal to Binary Converter
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