607C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 607C 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 607C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 607C by 16⁰, multiply the second to last digit in 607C by 16¹, multiply the third to last digit in 607C by 16², multiply the fourth to last digit in 607C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
0 × 16² = 0
6 × 16³ = 24576

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 + 112 + 0 + 24576 = 24700

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.

24700 ÷ 2 = 12350 with 0 remainder
12350 ÷ 2 = 6175 with 0 remainder
6175 ÷ 2 = 3087 with 1 remainder
3087 ÷ 2 = 1543 with 1 remainder
1543 ÷ 2 = 771 with 1 remainder
771 ÷ 2 = 385 with 1 remainder
385 ÷ 2 = 192 with 1 remainder
192 ÷ 2 = 96 with 0 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 607C hexadecimal to binary:

607C hexadecimal = 110000001111100 binary

Hexadecimal to Binary Converter
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