1B42 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1B42 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 1B42 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1B42 by 16⁰, multiply the second to last digit in 1B42 by 16¹, multiply the third to last digit in 1B42 by 16², multiply the fourth to last digit in 1B42 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
4 × 16¹ = 64
B × 16² = 2816
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:

2 + 64 + 2816 + 4096 = 6978

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.

6978 ÷ 2 = 3489 with 0 remainder
3489 ÷ 2 = 1744 with 1 remainder
1744 ÷ 2 = 872 with 0 remainder
872 ÷ 2 = 436 with 0 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 1B42 hexadecimal to binary:

1B42 hexadecimal = 1101101000010 binary

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1B43 hexadecimal to binary
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