1D1A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1D1A 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 1D1A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1D1A by 16⁰, multiply the second to last digit in 1D1A by 16¹, multiply the third to last digit in 1D1A by 16², multiply the fourth to last digit in 1D1A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
1 × 16¹ = 16
D × 16² = 3328
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 + 3328 + 4096 = 7450

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.

7450 ÷ 2 = 3725 with 0 remainder
3725 ÷ 2 = 1862 with 1 remainder
1862 ÷ 2 = 931 with 0 remainder
931 ÷ 2 = 465 with 1 remainder
465 ÷ 2 = 232 with 1 remainder
232 ÷ 2 = 116 with 0 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 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 1D1A hexadecimal to binary:

1D1A hexadecimal = 1110100011010 binary

Hexadecimal to Binary Converter
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1D1B hexadecimal to binary
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