419A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 419A 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 419A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 419A by 16⁰, multiply the second to last digit in 419A by 16¹, multiply the third to last digit in 419A by 16², multiply the fourth to last digit in 419A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
1 × 16² = 256
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 + 144 + 256 + 16384 = 16794

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.

16794 ÷ 2 = 8397 with 0 remainder
8397 ÷ 2 = 4198 with 1 remainder
4198 ÷ 2 = 2099 with 0 remainder
2099 ÷ 2 = 1049 with 1 remainder
1049 ÷ 2 = 524 with 1 remainder
524 ÷ 2 = 262 with 0 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 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 419A hexadecimal to binary:

419A hexadecimal = 100000110011010 binary

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419B hexadecimal to binary
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