FABD hexadecimal to binary

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

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

D × 16⁰ = 13
B × 16¹ = 176
A × 16² = 2560
F × 16³ = 61440

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:

13 + 176 + 2560 + 61440 = 64189

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.

64189 ÷ 2 = 32094 with 1 remainder
32094 ÷ 2 = 16047 with 0 remainder
16047 ÷ 2 = 8023 with 1 remainder
8023 ÷ 2 = 4011 with 1 remainder
4011 ÷ 2 = 2005 with 1 remainder
2005 ÷ 2 = 1002 with 1 remainder
1002 ÷ 2 = 501 with 0 remainder
501 ÷ 2 = 250 with 1 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 FABD hexadecimal to binary:

FABD hexadecimal = 1111101010111101 binary

Hexadecimal to Binary Converter
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