138D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 138D 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 138D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 138D by 16⁰, multiply the second to last digit in 138D by 16¹, multiply the third to last digit in 138D by 16², multiply the fourth to last digit in 138D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
8 × 16¹ = 128
3 × 16² = 768
1 × 16³ = 4096

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 + 128 + 768 + 4096 = 5005

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.

5005 ÷ 2 = 2502 with 1 remainder
2502 ÷ 2 = 1251 with 0 remainder
1251 ÷ 2 = 625 with 1 remainder
625 ÷ 2 = 312 with 1 remainder
312 ÷ 2 = 156 with 0 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 138D hexadecimal to binary:

138D hexadecimal = 1001110001101 binary

Hexadecimal to Binary Converter
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