718B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 718B 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 718B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 718B by 16⁰, multiply the second to last digit in 718B by 16¹, multiply the third to last digit in 718B by 16², multiply the fourth to last digit in 718B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
1 × 16² = 256
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:

11 + 128 + 256 + 28672 = 29067

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.

29067 ÷ 2 = 14533 with 1 remainder
14533 ÷ 2 = 7266 with 1 remainder
7266 ÷ 2 = 3633 with 0 remainder
3633 ÷ 2 = 1816 with 1 remainder
1816 ÷ 2 = 908 with 0 remainder
908 ÷ 2 = 454 with 0 remainder
454 ÷ 2 = 227 with 0 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 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 718B hexadecimal to binary:

718B hexadecimal = 111000110001011 binary

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