970B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 970B 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 970B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 970B by 16⁰, multiply the second to last digit in 970B by 16¹, multiply the third to last digit in 970B by 16², multiply the fourth to last digit in 970B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
7 × 16² = 1792
9 × 16³ = 36864

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 + 36864 = 38667

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.

38667 ÷ 2 = 19333 with 1 remainder
19333 ÷ 2 = 9666 with 1 remainder
9666 ÷ 2 = 4833 with 0 remainder
4833 ÷ 2 = 2416 with 1 remainder
2416 ÷ 2 = 1208 with 0 remainder
1208 ÷ 2 = 604 with 0 remainder
604 ÷ 2 = 302 with 0 remainder
302 ÷ 2 = 151 with 0 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 970B hexadecimal to binary:

970B hexadecimal = 1001011100001011 binary

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