C434 hexadecimal to binary




Here we will show you how to convert the hexadecimal number C434 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 C434 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C434 by 16⁰, multiply the second to last digit in C434 by 16¹, multiply the third to last digit in C434 by 16², multiply the fourth to last digit in C434 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
3 × 16¹ = 48
4 × 16² = 1024
C × 16³ = 49152

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:

4 + 48 + 1024 + 49152 = 50228

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.

50228 ÷ 2 = 25114 with 0 remainder
25114 ÷ 2 = 12557 with 0 remainder
12557 ÷ 2 = 6278 with 1 remainder
6278 ÷ 2 = 3139 with 0 remainder
3139 ÷ 2 = 1569 with 1 remainder
1569 ÷ 2 = 784 with 1 remainder
784 ÷ 2 = 392 with 0 remainder
392 ÷ 2 = 196 with 0 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 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 C434 hexadecimal to binary:

C434 hexadecimal = 1100010000110100 binary


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