Problem 1 nbspconvert the following decimal numbers into a

Question

Problem 1  Convert the following decimal numbers into (a) 8-bit, (b) 16-bit, and (c) 32-bit binary numbers. For negative numbers, use the 2's complement. State "overflow" if a number cannot be represented correctly.

1)      45 _ten.

2)      -81 _ten.

3)      -3,000 _ten.

 

Problem 2  What decimal number does each of the following two's complement binary number represent?

1)      1111 1111 1111 1111 1111 1111 1011 1101 _two.

2)      1111 1111 1111 1111 1111 1111 1101 1001 _two.

3)      0111 1111 1111 1111 1111 1111 1011 1111 _two.

 

Problem 3  Show the IEEE 754 binary representation for the following floating-point numbers in single and double precision. Give your results in hexadecimal format.

1)      19 _ten.

2)      2.375 _ten.

3)      -0.3_ten.