7005 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7005 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 7005 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7005 by 16⁰, multiply the second to last digit in 7005 by 16¹, multiply the third to last digit in 7005 by 16², multiply the fourth to last digit in 7005 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
0 × 16² = 0
7 × 16³ = 28672

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 + 28672 = 28677

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.

28677 ÷ 2 = 14338 with 1 remainder
14338 ÷ 2 = 7169 with 0 remainder
7169 ÷ 2 = 3584 with 1 remainder
3584 ÷ 2 = 1792 with 0 remainder
1792 ÷ 2 = 896 with 0 remainder
896 ÷ 2 = 448 with 0 remainder
448 ÷ 2 = 224 with 0 remainder
224 ÷ 2 = 112 with 0 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 7005 hexadecimal to binary:

7005 hexadecimal = 111000000000101 binary

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

7006 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.