Decimal / Binary-Octal-Hexadecimal - Compute the following conversions, and show

Question

Decimal / Binary-Octal-Hexadecimal - Compute the following conversions, and show your mental process and work to get to your final answers.

a. 100 subscript 2 to decimal, octal & hexadecimal
b. 100 subscript 16 to binary, octal, & decimal
c. 75 subscript 10 to binary, octal & hexadecimal
d. 75 subscript 8 to binary, decimal & hexadecimal

Explanation / Answer

For each f the cases you basially work out decimal number and then convert to other bases: keep dividing/keeping modulo of the number and base until your number is smaller than base. You can read up this algorithm online. Here is the solution to our question: 100_2 -> 4_10 -> 4_8 -> 4_16 (here 4 is smaller than any base so it is trivial) 100_16 -> 256_10 (16^2) -> 400_8 -> 100000000_2 75_10 -> 1001011_2 -> 113_8 -> 4B_16 75_8 -> 61_10 -> 111101_2 -> 3D_16 hope it helps

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