49FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 49FA 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 49FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 49FA by 16⁰, multiply the second to last digit in 49FA by 16¹, multiply the third to last digit in 49FA by 16², multiply the fourth to last digit in 49FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
9 × 16² = 2304
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 + 2304 + 16384 = 18938

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.

18938 ÷ 2 = 9469 with 0 remainder
9469 ÷ 2 = 4734 with 1 remainder
4734 ÷ 2 = 2367 with 0 remainder
2367 ÷ 2 = 1183 with 1 remainder
1183 ÷ 2 = 591 with 1 remainder
591 ÷ 2 = 295 with 1 remainder
295 ÷ 2 = 147 with 1 remainder
147 ÷ 2 = 73 with 1 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 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 49FA hexadecimal to binary:

49FA hexadecimal = 100100111111010 binary

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49FB hexadecimal to binary
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