642C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 642C 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 642C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 642C by 16⁰, multiply the second to last digit in 642C by 16¹, multiply the third to last digit in 642C by 16², multiply the fourth to last digit in 642C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
4 × 16² = 1024
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 + 32 + 1024 + 24576 = 25644

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.

25644 ÷ 2 = 12822 with 0 remainder
12822 ÷ 2 = 6411 with 0 remainder
6411 ÷ 2 = 3205 with 1 remainder
3205 ÷ 2 = 1602 with 1 remainder
1602 ÷ 2 = 801 with 0 remainder
801 ÷ 2 = 400 with 1 remainder
400 ÷ 2 = 200 with 0 remainder
200 ÷ 2 = 100 with 0 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 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 642C hexadecimal to binary:

642C hexadecimal = 110010000101100 binary

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