FECA hexadecimal to binary

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

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

A × 16⁰ = 10
C × 16¹ = 192
E × 16² = 3584
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:

10 + 192 + 3584 + 61440 = 65226

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.

65226 ÷ 2 = 32613 with 0 remainder
32613 ÷ 2 = 16306 with 1 remainder
16306 ÷ 2 = 8153 with 0 remainder
8153 ÷ 2 = 4076 with 1 remainder
4076 ÷ 2 = 2038 with 0 remainder
2038 ÷ 2 = 1019 with 0 remainder
1019 ÷ 2 = 509 with 1 remainder
509 ÷ 2 = 254 with 1 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 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 FECA hexadecimal to binary:

FECA hexadecimal = 1111111011001010 binary

Hexadecimal to Binary Converter
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