
Here we will show you how to convert the hexadecimal number 1E1A 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 1E1A from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 1E1A by 16⁰, multiply the second to last digit in 1E1A by 16¹, multiply the third to last digit in 1E1A by 16², multiply the fourth to last digit in 1E1A by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
1 × 16¹ = 16
E × 16² = 3584
1 × 16³ = 4096
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 + 16 + 3584 + 4096 = 7706
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.
7706 ÷ 2 = 3853 with 0 remainder
3853 ÷ 2 = 1926 with 1 remainder
1926 ÷ 2 = 963 with 0 remainder
963 ÷ 2 = 481 with 1 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 1E1A hexadecimal to binary:
1E1A hexadecimal = 1111000011010 binary
Hexadecimal to Binary Converter
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1E1B hexadecimal to binary
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