7CAD hexadecimal to binary

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

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

D × 16⁰ = 13
A × 16¹ = 160
C × 16² = 3072
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:

13 + 160 + 3072 + 28672 = 31917

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.

31917 ÷ 2 = 15958 with 1 remainder
15958 ÷ 2 = 7979 with 0 remainder
7979 ÷ 2 = 3989 with 1 remainder
3989 ÷ 2 = 1994 with 1 remainder
1994 ÷ 2 = 997 with 0 remainder
997 ÷ 2 = 498 with 1 remainder
498 ÷ 2 = 249 with 0 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 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 7CAD hexadecimal to binary:

7CAD hexadecimal = 111110010101101 binary

Hexadecimal to Binary Converter
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