706B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 706B 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 706B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 706B by 16⁰, multiply the second to last digit in 706B by 16¹, multiply the third to last digit in 706B by 16², multiply the fourth to last digit in 706B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
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:

11 + 96 + 0 + 28672 = 28779

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.

28779 ÷ 2 = 14389 with 1 remainder
14389 ÷ 2 = 7194 with 1 remainder
7194 ÷ 2 = 3597 with 0 remainder
3597 ÷ 2 = 1798 with 1 remainder
1798 ÷ 2 = 899 with 0 remainder
899 ÷ 2 = 449 with 1 remainder
449 ÷ 2 = 224 with 1 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 706B hexadecimal to binary:

706B hexadecimal = 111000001101011 binary

Hexadecimal to Binary Converter
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