2C5A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2C5A 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 2C5A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2C5A by 16⁰, multiply the second to last digit in 2C5A by 16¹, multiply the third to last digit in 2C5A by 16², multiply the fourth to last digit in 2C5A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
C × 16² = 3072
2 × 16³ = 8192

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:

10 + 80 + 3072 + 8192 = 11354

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.

11354 ÷ 2 = 5677 with 0 remainder
5677 ÷ 2 = 2838 with 1 remainder
2838 ÷ 2 = 1419 with 0 remainder
1419 ÷ 2 = 709 with 1 remainder
709 ÷ 2 = 354 with 1 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 2C5A hexadecimal to binary:

2C5A hexadecimal = 10110001011010 binary

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2C5B hexadecimal to binary
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