C77F hexadecimal to binary

Here we will show you how to convert the hexadecimal number C77F 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 C77F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C77F by 16⁰, multiply the second to last digit in C77F by 16¹, multiply the third to last digit in C77F by 16², multiply the fourth to last digit in C77F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
7 × 16² = 1792
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 + 112 + 1792 + 49152 = 51071

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.

51071 ÷ 2 = 25535 with 1 remainder
25535 ÷ 2 = 12767 with 1 remainder
12767 ÷ 2 = 6383 with 1 remainder
6383 ÷ 2 = 3191 with 1 remainder
3191 ÷ 2 = 1595 with 1 remainder
1595 ÷ 2 = 797 with 1 remainder
797 ÷ 2 = 398 with 1 remainder
398 ÷ 2 = 199 with 0 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 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 C77F hexadecimal to binary:

C77F hexadecimal = 1100011101111111 binary

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