7FCE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7FCE 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 7FCE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7FCE by 16⁰, multiply the second to last digit in 7FCE by 16¹, multiply the third to last digit in 7FCE by 16², multiply the fourth to last digit in 7FCE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
C × 16¹ = 192
F × 16² = 3840
7 × 16³ = 28672

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 + 28672 = 32718

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.

32718 ÷ 2 = 16359 with 0 remainder
16359 ÷ 2 = 8179 with 1 remainder
8179 ÷ 2 = 4089 with 1 remainder
4089 ÷ 2 = 2044 with 1 remainder
2044 ÷ 2 = 1022 with 0 remainder
1022 ÷ 2 = 511 with 0 remainder
511 ÷ 2 = 255 with 1 remainder
255 ÷ 2 = 127 with 1 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 7FCE hexadecimal to binary:

7FCE hexadecimal = 111111111001110 binary

Hexadecimal to Binary Converter
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7FCF hexadecimal to binary
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