634A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 634A 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 634A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 634A by 16⁰, multiply the second to last digit in 634A by 16¹, multiply the third to last digit in 634A by 16², multiply the fourth to last digit in 634A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
3 × 16² = 768
6 × 16³ = 24576

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 + 768 + 24576 = 25418

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.

25418 ÷ 2 = 12709 with 0 remainder
12709 ÷ 2 = 6354 with 1 remainder
6354 ÷ 2 = 3177 with 0 remainder
3177 ÷ 2 = 1588 with 1 remainder
1588 ÷ 2 = 794 with 0 remainder
794 ÷ 2 = 397 with 0 remainder
397 ÷ 2 = 198 with 1 remainder
198 ÷ 2 = 99 with 0 remainder
99 ÷ 2 = 49 with 1 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 634A hexadecimal to binary:

634A hexadecimal = 110001101001010 binary

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634B hexadecimal to binary
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