
Here we will show you how to convert the hexadecimal number 19D4 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 19D4 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 19D4 by 16⁰, multiply the second to last digit in 19D4 by 16¹, multiply the third to last digit in 19D4 by 16², multiply the fourth to last digit in 19D4 by 16³, and so on, until all the digits are used.
4 × 16⁰ = 4
D × 16¹ = 208
9 × 16² = 2304
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:
4 + 208 + 2304 + 4096 = 6612
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.
6612 ÷ 2 = 3306 with 0 remainder
3306 ÷ 2 = 1653 with 0 remainder
1653 ÷ 2 = 826 with 1 remainder
826 ÷ 2 = 413 with 0 remainder
413 ÷ 2 = 206 with 1 remainder
206 ÷ 2 = 103 with 0 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 19D4 hexadecimal to binary:
19D4 hexadecimal = 1100111010100 binary
Hexadecimal to Binary Converter
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