A005 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A005 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 A005 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A005 by 16⁰, multiply the second to last digit in A005 by 16¹, multiply the third to last digit in A005 by 16², multiply the fourth to last digit in A005 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
0 × 16² = 0
A × 16³ = 40960

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 + 0 + 0 + 40960 = 40965

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.

40965 ÷ 2 = 20482 with 1 remainder
20482 ÷ 2 = 10241 with 0 remainder
10241 ÷ 2 = 5120 with 1 remainder
5120 ÷ 2 = 2560 with 0 remainder
2560 ÷ 2 = 1280 with 0 remainder
1280 ÷ 2 = 640 with 0 remainder
640 ÷ 2 = 320 with 0 remainder
320 ÷ 2 = 160 with 0 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 A005 hexadecimal to binary:

A005 hexadecimal = 1010000000000101 binary

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

A006 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.