62FE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 62FE 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 62FE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 62FE by 16⁰, multiply the second to last digit in 62FE by 16¹, multiply the third to last digit in 62FE by 16², multiply the fourth to last digit in 62FE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
F × 16¹ = 240
2 × 16² = 512
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:

14 + 240 + 512 + 24576 = 25342

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.

25342 ÷ 2 = 12671 with 0 remainder
12671 ÷ 2 = 6335 with 1 remainder
6335 ÷ 2 = 3167 with 1 remainder
3167 ÷ 2 = 1583 with 1 remainder
1583 ÷ 2 = 791 with 1 remainder
791 ÷ 2 = 395 with 1 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 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 62FE hexadecimal to binary:

62FE hexadecimal = 110001011111110 binary

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62FF hexadecimal to binary
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