FB7C hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB7C 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 FB7C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB7C by 16⁰, multiply the second to last digit in FB7C by 16¹, multiply the third to last digit in FB7C by 16², multiply the fourth to last digit in FB7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
B × 16² = 2816
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:

12 + 112 + 2816 + 61440 = 64380

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.

64380 ÷ 2 = 32190 with 0 remainder
32190 ÷ 2 = 16095 with 0 remainder
16095 ÷ 2 = 8047 with 1 remainder
8047 ÷ 2 = 4023 with 1 remainder
4023 ÷ 2 = 2011 with 1 remainder
2011 ÷ 2 = 1005 with 1 remainder
1005 ÷ 2 = 502 with 1 remainder
502 ÷ 2 = 251 with 0 remainder
251 ÷ 2 = 125 with 1 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 FB7C hexadecimal to binary:

FB7C hexadecimal = 1111101101111100 binary

Hexadecimal to Binary Converter
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