123C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 123C 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 123C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 123C by 16⁰, multiply the second to last digit in 123C by 16¹, multiply the third to last digit in 123C by 16², multiply the fourth to last digit in 123C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
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:

12 + 48 + 512 + 4096 = 4668

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.

4668 ÷ 2 = 2334 with 0 remainder
2334 ÷ 2 = 1167 with 0 remainder
1167 ÷ 2 = 583 with 1 remainder
583 ÷ 2 = 291 with 1 remainder
291 ÷ 2 = 145 with 1 remainder
145 ÷ 2 = 72 with 1 remainder
72 ÷ 2 = 36 with 0 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 123C hexadecimal to binary:

123C hexadecimal = 1001000111100 binary

Hexadecimal to Binary Converter
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