42FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 42FA 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 42FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 42FA by 16⁰, multiply the second to last digit in 42FA by 16¹, multiply the third to last digit in 42FA by 16², multiply the fourth to last digit in 42FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
2 × 16² = 512
4 × 16³ = 16384

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 + 240 + 512 + 16384 = 17146

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.

17146 ÷ 2 = 8573 with 0 remainder
8573 ÷ 2 = 4286 with 1 remainder
4286 ÷ 2 = 2143 with 0 remainder
2143 ÷ 2 = 1071 with 1 remainder
1071 ÷ 2 = 535 with 1 remainder
535 ÷ 2 = 267 with 1 remainder
267 ÷ 2 = 133 with 1 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 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 42FA hexadecimal to binary:

42FA hexadecimal = 100001011111010 binary

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42FB hexadecimal to binary
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