4A65 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4A65 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 4A65 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4A65 by 16⁰, multiply the second to last digit in 4A65 by 16¹, multiply the third to last digit in 4A65 by 16², multiply the fourth to last digit in 4A65 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
6 × 16¹ = 96
A × 16² = 2560
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:

5 + 96 + 2560 + 16384 = 19045

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.

19045 ÷ 2 = 9522 with 1 remainder
9522 ÷ 2 = 4761 with 0 remainder
4761 ÷ 2 = 2380 with 1 remainder
2380 ÷ 2 = 1190 with 0 remainder
1190 ÷ 2 = 595 with 0 remainder
595 ÷ 2 = 297 with 1 remainder
297 ÷ 2 = 148 with 1 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 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 4A65 hexadecimal to binary:

4A65 hexadecimal = 100101001100101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

4A66 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.