254A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 254A 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 254A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 254A by 16⁰, multiply the second to last digit in 254A by 16¹, multiply the third to last digit in 254A by 16², multiply the fourth to last digit in 254A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
5 × 16² = 1280
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 + 64 + 1280 + 8192 = 9546

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.

9546 ÷ 2 = 4773 with 0 remainder
4773 ÷ 2 = 2386 with 1 remainder
2386 ÷ 2 = 1193 with 0 remainder
1193 ÷ 2 = 596 with 1 remainder
596 ÷ 2 = 298 with 0 remainder
298 ÷ 2 = 149 with 0 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 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 254A hexadecimal to binary:

254A hexadecimal = 10010101001010 binary

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254B hexadecimal to binary
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