124D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 124D 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 124D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 124D by 16⁰, multiply the second to last digit in 124D by 16¹, multiply the third to last digit in 124D by 16², multiply the fourth to last digit in 124D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
4 × 16¹ = 64
2 × 16² = 512
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 + 64 + 512 + 4096 = 4685

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.

4685 ÷ 2 = 2342 with 1 remainder
2342 ÷ 2 = 1171 with 0 remainder
1171 ÷ 2 = 585 with 1 remainder
585 ÷ 2 = 292 with 1 remainder
292 ÷ 2 = 146 with 0 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 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 124D hexadecimal to binary:

124D hexadecimal = 1001001001101 binary

Hexadecimal to Binary Converter
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