49AE hexadecimal to binary

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

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

E × 16⁰ = 14
A × 16¹ = 160
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:

14 + 160 + 2304 + 16384 = 18862

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.

18862 ÷ 2 = 9431 with 0 remainder
9431 ÷ 2 = 4715 with 1 remainder
4715 ÷ 2 = 2357 with 1 remainder
2357 ÷ 2 = 1178 with 1 remainder
1178 ÷ 2 = 589 with 0 remainder
589 ÷ 2 = 294 with 1 remainder
294 ÷ 2 = 147 with 0 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 49AE hexadecimal to binary:

49AE hexadecimal = 100100110101110 binary

Hexadecimal to Binary Converter
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49AF hexadecimal to binary
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