Number Systems 2
 

















Convert 125 from decimal to binary 
Convert 96 from decimal to binary 
Convert 10011 from binary to decimal 
 
In 'C', an unsigned integer is usually 16 bits. What is the largest number that can be represented by an unsigned integer? 

 

Convert 37 to binary, shift it left by one and convert back to decimal.  What is the result


      Hexadecimal, Octal, Bits, Bytes and Words.
     

















    Convert 2000 from decimal to hexadecimal 
    Convert 3C from hexadecimal to decimal 
    Convert 1010 0111 1011 from binary to hexadecimal 
    Convert 7D0 from hexadecimal to binary 
    If you shift a hexadecimal number to the left by one digit, how many times larger is the resulting number? 

    Binary Representation of positive integers



    Exercises:

















    Convert 1101 1101 from binary to decimal 
    Convert 0010 0010 from binary to decimal 
    Convert -120 from decimal to binary 
    In 'C', a signed integer is usually 16 bits. What is the largest positive number that can be represented? 
    What is the largest negative number that can be represented? 

    Signed Binary Integers



    Exercises:

















    Convert 0.100 1001 from binary to decimal 
    Convert 0.111 1111 from binary to decimal 
    Convert 0.75 from decimal to a binary fraction 
    Convert 0.65625 from decimal to a binary fraction 
    Approximate 0.9 as a binary fraction (use 8 bits) 


Signed binary fractions



















Convert 1.100 1001 from binary to decimal
Convert 1.111 1111 from binary to decimal 
Convert -0.75 from decimal to a binary fraction 
Convert -0.65625 from decimal to a binary fraction 
Approximate -0.9 as a binary fraction (use 8 bits) 

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