2FCE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2FCE 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 2FCE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2FCE by 16⁰, multiply the second to last digit in 2FCE by 16¹, multiply the third to last digit in 2FCE by 16², multiply the fourth to last digit in 2FCE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
C × 16¹ = 192
F × 16² = 3840
2 × 16³ = 8192

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 + 192 + 3840 + 8192 = 12238

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.

12238 ÷ 2 = 6119 with 0 remainder
6119 ÷ 2 = 3059 with 1 remainder
3059 ÷ 2 = 1529 with 1 remainder
1529 ÷ 2 = 764 with 1 remainder
764 ÷ 2 = 382 with 0 remainder
382 ÷ 2 = 191 with 0 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 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 2FCE hexadecimal to binary:

2FCE hexadecimal = 10111111001110 binary

Hexadecimal to Binary Converter
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2FCF hexadecimal to binary
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