7B17 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7B17 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 7B17 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7B17 by 16⁰, multiply the second to last digit in 7B17 by 16¹, multiply the third to last digit in 7B17 by 16², multiply the fourth to last digit in 7B17 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
1 × 16¹ = 16
B × 16² = 2816
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:

7 + 16 + 2816 + 28672 = 31511

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.

31511 ÷ 2 = 15755 with 1 remainder
15755 ÷ 2 = 7877 with 1 remainder
7877 ÷ 2 = 3938 with 1 remainder
3938 ÷ 2 = 1969 with 0 remainder
1969 ÷ 2 = 984 with 1 remainder
984 ÷ 2 = 492 with 0 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 7B17 hexadecimal to binary:

7B17 hexadecimal = 111101100010111 binary

Hexadecimal to Binary Converter
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