766A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 766A 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 766A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 766A by 16⁰, multiply the second to last digit in 766A by 16¹, multiply the third to last digit in 766A by 16², multiply the fourth to last digit in 766A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
6 × 16² = 1536
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:

10 + 96 + 1536 + 28672 = 30314

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.

30314 ÷ 2 = 15157 with 0 remainder
15157 ÷ 2 = 7578 with 1 remainder
7578 ÷ 2 = 3789 with 0 remainder
3789 ÷ 2 = 1894 with 1 remainder
1894 ÷ 2 = 947 with 0 remainder
947 ÷ 2 = 473 with 1 remainder
473 ÷ 2 = 236 with 1 remainder
236 ÷ 2 = 118 with 0 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 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 766A hexadecimal to binary:

766A hexadecimal = 111011001101010 binary

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766B hexadecimal to binary
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