Problem 28
Convert each of the following excess 32 representations to its equivalent base 10 representation: a. 011111 b. 100110 c. 111000 d. 000101 e. 010101
Problem 30
Convert each of the following two's complement representations to its equivalent base 10 representation: a. 010101 b. 101010 c. 110110 d. 011011 e. 111001
Problem 31
Convert each of the following base 10 representations to its equivalent two's
complement representation in which each value is represented in 8 bits:
a.
Problem 32
Perform each of the following additions assuming the bit strings represent
values in two's complement notation. Identify each case in which the answer is
incorrect because of overflow.
a.
Problem 34
Convert each of the following binary representations into its equivalent base
ten representation:
a.
Problem 41
Explain how errors can occur when measurements using the metric system are
recorded in floating-point notation. For example, what if
Problem 42
One of the bit patterns 01011 and 11011 represents a value stored in excess 16 notation and the other represents the same value stored in two's complement notation. a. What can be determined about this common value? b. What is the relationship between a pattern representing a value stored in two's complement notation and the pattern representing the same value stored in excess notation when both systems use the same bit pattern length?
Problem 45
If you changed the length of the bit strings being used to represent integers in binary from 4 bits to 6 bits, what change would be made in the value of the largest integer you could represent? What if you were using two's complement notation?
Problem 46
What would be the hexadecimal representation of the largest memory address in
a memory consisting of
Problem 47
What would be the encoded version of the message
xxy yyx xxy xxy yyx
if LZW compression, starting with the dictionary containing