C138 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C138 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 C138 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C138 by 16⁰, multiply the second to last digit in C138 by 16¹, multiply the third to last digit in C138 by 16², multiply the fourth to last digit in C138 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
3 × 16¹ = 48
1 × 16² = 256
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:

8 + 48 + 256 + 49152 = 49464

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.

49464 ÷ 2 = 24732 with 0 remainder
24732 ÷ 2 = 12366 with 0 remainder
12366 ÷ 2 = 6183 with 0 remainder
6183 ÷ 2 = 3091 with 1 remainder
3091 ÷ 2 = 1545 with 1 remainder
1545 ÷ 2 = 772 with 1 remainder
772 ÷ 2 = 386 with 0 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 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 C138 hexadecimal to binary:

C138 hexadecimal = 1100000100111000 binary

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C139 hexadecimal to binary
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