670B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 670B 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 670B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 670B by 16⁰, multiply the second to last digit in 670B by 16¹, multiply the third to last digit in 670B by 16², multiply the fourth to last digit in 670B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
7 × 16² = 1792
6 × 16³ = 24576

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 + 0 + 1792 + 24576 = 26379

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.

26379 ÷ 2 = 13189 with 1 remainder
13189 ÷ 2 = 6594 with 1 remainder
6594 ÷ 2 = 3297 with 0 remainder
3297 ÷ 2 = 1648 with 1 remainder
1648 ÷ 2 = 824 with 0 remainder
824 ÷ 2 = 412 with 0 remainder
412 ÷ 2 = 206 with 0 remainder
206 ÷ 2 = 103 with 0 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 670B hexadecimal to binary:

670B hexadecimal = 110011100001011 binary

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