9E7A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9E7A 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 9E7A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9E7A by 16⁰, multiply the second to last digit in 9E7A by 16¹, multiply the third to last digit in 9E7A by 16², multiply the fourth to last digit in 9E7A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
7 × 16¹ = 112
E × 16² = 3584
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:

10 + 112 + 3584 + 36864 = 40570

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.

40570 ÷ 2 = 20285 with 0 remainder
20285 ÷ 2 = 10142 with 1 remainder
10142 ÷ 2 = 5071 with 0 remainder
5071 ÷ 2 = 2535 with 1 remainder
2535 ÷ 2 = 1267 with 1 remainder
1267 ÷ 2 = 633 with 1 remainder
633 ÷ 2 = 316 with 1 remainder
316 ÷ 2 = 158 with 0 remainder
158 ÷ 2 = 79 with 0 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 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 9E7A hexadecimal to binary:

9E7A hexadecimal = 1001111001111010 binary

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9E7B hexadecimal to binary
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