1B7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1B7F 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 1B7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1B7F by 16⁰, multiply the second to last digit in 1B7F by 16¹, multiply the third to last digit in 1B7F by 16², multiply the fourth to last digit in 1B7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
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:

15 + 112 + 2816 + 4096 = 7039

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.

7039 ÷ 2 = 3519 with 1 remainder
3519 ÷ 2 = 1759 with 1 remainder
1759 ÷ 2 = 879 with 1 remainder
879 ÷ 2 = 439 with 1 remainder
439 ÷ 2 = 219 with 1 remainder
219 ÷ 2 = 109 with 1 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 1B7F hexadecimal to binary:

1B7F hexadecimal = 1101101111111 binary

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