BAFE hexadecimal to binary

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

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

E × 16⁰ = 14
F × 16¹ = 240
A × 16² = 2560
B × 16³ = 45056

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:

14 + 240 + 2560 + 45056 = 47870

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.

47870 ÷ 2 = 23935 with 0 remainder
23935 ÷ 2 = 11967 with 1 remainder
11967 ÷ 2 = 5983 with 1 remainder
5983 ÷ 2 = 2991 with 1 remainder
2991 ÷ 2 = 1495 with 1 remainder
1495 ÷ 2 = 747 with 1 remainder
747 ÷ 2 = 373 with 1 remainder
373 ÷ 2 = 186 with 1 remainder
186 ÷ 2 = 93 with 0 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 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 BAFE hexadecimal to binary:

BAFE hexadecimal = 1011101011111110 binary

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BAFF hexadecimal to binary
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