
Here we will show you how to convert the hexadecimal number B148 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 B148 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B148 by 16⁰, multiply the second to last digit in B148 by 16¹, multiply the third to last digit in B148 by 16², multiply the fourth to last digit in B148 by 16³, and so on, until all the digits are used.
8 × 16⁰ = 8
4 × 16¹ = 64
1 × 16² = 256
B × 16³ = 45056
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:
8 + 64 + 256 + 45056 = 45384
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.
45384 ÷ 2 = 22692 with 0 remainder
22692 ÷ 2 = 11346 with 0 remainder
11346 ÷ 2 = 5673 with 0 remainder
5673 ÷ 2 = 2836 with 1 remainder
2836 ÷ 2 = 1418 with 0 remainder
1418 ÷ 2 = 709 with 0 remainder
709 ÷ 2 = 354 with 1 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 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 B148 hexadecimal to binary:
B148 hexadecimal = 1011000101001000 binary
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B149 hexadecimal to binary
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