C51F hexadecimal to binary

Here we will show you how to convert the hexadecimal number C51F 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 C51F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C51F by 16⁰, multiply the second to last digit in C51F by 16¹, multiply the third to last digit in C51F by 16², multiply the fourth to last digit in C51F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
5 × 16² = 1280
C × 16³ = 49152

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:

15 + 16 + 1280 + 49152 = 50463

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.

50463 ÷ 2 = 25231 with 1 remainder
25231 ÷ 2 = 12615 with 1 remainder
12615 ÷ 2 = 6307 with 1 remainder
6307 ÷ 2 = 3153 with 1 remainder
3153 ÷ 2 = 1576 with 1 remainder
1576 ÷ 2 = 788 with 0 remainder
788 ÷ 2 = 394 with 0 remainder
394 ÷ 2 = 197 with 0 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 C51F hexadecimal to binary:

C51F hexadecimal = 1100010100011111 binary

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