
Here we will show you how to convert the hexadecimal number B74 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 B74 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B74 by 16⁰, multiply the second to last digit in B74 by 16¹, multiply the third to last digit in B74 by 16², multiply the fourth to last digit in B74 by 16³, and so on, until all the digits are used.
4 × 16⁰ = 4
7 × 16¹ = 112
B × 16² = 2816
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 + 112 + 2816 = 2932
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.
2932 ÷ 2 = 1466 with 0 remainder
1466 ÷ 2 = 733 with 0 remainder
733 ÷ 2 = 366 with 1 remainder
366 ÷ 2 = 183 with 0 remainder
183 ÷ 2 = 91 with 1 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 B74 hexadecimal to binary:
B74 hexadecimal = 101101110100 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
B75 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact