Exam 1: Data Representation

Which of the following addition problems cannot be solved accurately when using a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit,the next three bits represent the exponent field in excess notation,and the last four bits represent the mantissa?

If the input and output bit patterns in the circuit below are interpreted as binary representations of numeric values,what operation does the circuit perform?

Construct the entire two's complement scale in which each value is represented by three bits.

Explain why such terms as kilo,mega,and giga have acquired double meanings.

Represent the bit pattern 1111010010011011 in hexadecimal notation. _________

A7DF is the hexadecimal representation for what bit pattern? ____________

What value is represented by the bit pattern 01011100 when interpreted using floating-point format in which the most significant bit is the sign bit,the next three bits represent the exponent field in excess notation,and the last four bits represent the mantissa?

What is the largest value that can be represented in a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit,the next three bits represent the exponent field in excess notation,and the last four bits represent the mantissa? ____________

In a two's complement system,what value is represented by the pattern 11111111111111001? ____________

Describe how a computer can produce an incorrect answer when performing numerical computations even though it has not malfunctioned.

Which of the following best describes the NOR operation?

Which of the following representations in two's complement notation represents the smallest value?

The following is an error-correcting code in which any two patterns differ by a Hamming distance of at least three. Symbol Representation A 000000 B 001111 C 010011 D 011100 E 100110 F 101001 G 110101 H 111010 Decode each of the following patterns 010011 ________ 101010 ________ 011000 ________ 101101 _______

Describe how the concept of Hamming distance is used to produce an error-correcting code.

Which of the following is a possible LZW compression of the message "xyz xyz xyz"?

What is the result of the following subtraction problem (using two's complement notation)? 00001111 -10101010

How many bits are needed to represent 1024 different bit patterns? ____________

If the patterns 101.11 and 1.011 represent values in binary notation,what is the binary representation of their sum? ____________

Under what condition is each of the following data compression techniques most effective? a.Run-length encoding b.Relative encoding

Given that 1 foot = .3048 meters,write a Python script that will convert a height given in feet and inches to a height given in meters.