COMPUTER SYSTEMS&MOD MSGT/ET SA AC PKG
3rd Edition
ISBN: 9780134671123
Author: Bryant
Publisher: PEARSON
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Chapter 2.2, Problem 2.17PP
Program Plan Intro
Unsigned encoding:
- The unsigned encoding is represented by the interpretation function of “B2Uw”.
- The function “B2Uw” means “binary to unsigned” of length “w”.
- The equation for “B2Uw” is
B2Uw(→x) ≐ w − 1∑i = 0xi2i
- From the above equation,
- The notation ≐ denotes that the side of left-hand is defined to be equal to the side of right-hand.
- The function “B2Uw” maps string of 0’s and 1’s of length “w” to nonnegative integers.
- The bit length is “w”.
- A bit
vector is →x which is denoted by entire vector or [xw−1, xw−2,........,x0]: - Each bit “xi” contain value “0” or “1”.
Example:
The example of “B2Uw” is shown below:
Consider, value of →x is “0100” which contains bits length “4”.
Therefore using the above equation, user can compute the B2U4(0100)
B2U4(0100) = 0×23 + 1×22 + 0×21 + 0×20 = 0 + 4 + 0 + 0 = 4
Two’s-Complement encodings:
- The two’s complement encoding is represented by the interpretation function of “B2Tw”.
- The function “B2Tw” means “binary to two’s-complement” of length “w”.
- The equation for “B2Tw” is
B2Tw(→x) ≐ −xw−12w−1 + w − 2∑i = 0xi2i
- From the above equation,
- The notation ≐ denotes that the side of left-hand is defined to be equal to the side of right-hand.
- “xw-1” is the most significant bit. It is also named as “sign bit”.
- It weight “-2w-1” means the weight is in negation for representation of an unsigned.
- When the sign bit is set to “1”, then the value is denoted by “negative”.
- When the sign bit is set to “0”, then the value is denoted by “nonnegative”.
- It weight “-2w-1” means the weight is in negation for representation of an unsigned.
- The bit length is “w”.
- A bit vector is →x which is denoted by entire vector or [xw−1, xw−2,........,x0]:
- Each bit “xi” contain value “0” or “1”.
Example:
The example of “B2Tw” is shown below:
Consider, value of →x is “1111” which contains bits length “4”.
Therefore using the above equation, user can compute the B2T4(1111)
B2T4(1111) = -1×23 + 1×22 + 1×21 + 1×20 = -1×8 + 1×4 + 1×2 + 1×1 = -8 + 4 + 2 + 1 = -1
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Chapter 2 Solutions
COMPUTER SYSTEMS&MOD MSGT/ET SA AC PKG
Ch. 2.1 - Practice Problem 2.1 (solution page 143) Perform...Ch. 2.1 - Prob. 2.2PPCh. 2.1 - Prob. 2.3PPCh. 2.1 - Practice Problem 2.4 (solution page 144) Without...Ch. 2.1 - Prob. 2.5PPCh. 2.1 - Prob. 2.6PPCh. 2.1 - Prob. 2.7PPCh. 2.1 - Prob. 2.8PPCh. 2.1 - Practice Problem 2.9 solution page 146 Computers...Ch. 2.1 - Prob. 2.10PP
Ch. 2.1 - Prob. 2.11PPCh. 2.1 - Prob. 2.12PPCh. 2.1 - Prob. 2.13PPCh. 2.1 - Prob. 2.14PPCh. 2.1 - Prob. 2.15PPCh. 2.1 - Prob. 2.16PPCh. 2.2 - Prob. 2.17PPCh. 2.2 - Practice Problem 2.18 (solution page 149) In...Ch. 2.2 - Prob. 2.19PPCh. 2.2 - Prob. 2.20PPCh. 2.2 - Prob. 2.21PPCh. 2.2 - Prob. 2.22PPCh. 2.2 - Prob. 2.23PPCh. 2.2 - Prob. 2.24PPCh. 2.2 - Prob. 2.25PPCh. 2.2 - Practice Problem 2.26 (solution page 151) You are...Ch. 2.3 - Prob. 2.27PPCh. 2.3 - Prob. 2.28PPCh. 2.3 - Prob. 2.29PPCh. 2.3 - Practice Problem 2.30 (solution page 153) Write a...Ch. 2.3 - Prob. 2.31PPCh. 2.3 - Practice Problem 2.32 (solution page 153) You are...Ch. 2.3 - Prob. 2.33PPCh. 2.3 - Prob. 2.34PPCh. 2.3 - Practice Problem 2.35 (solution page 154) You are...Ch. 2.3 - Prob. 2.36PPCh. 2.3 - Practice Problem 2.37 solution page 155 You are...Ch. 2.3 - Prob. 2.38PPCh. 2.3 - Prob. 2.39PPCh. 2.3 - Practice Problem 2.40 (solution page 156) For each...Ch. 2.3 - Prob. 2.41PPCh. 2.3 - Practice Problem 2.42 (solution page 156) Write a...Ch. 2.3 - Practice Problem 2.43 (solution page 157) In the...Ch. 2.3 - Prob. 2.44PPCh. 2.4 - Prob. 2.45PPCh. 2.4 - Prob. 2.46PPCh. 2.4 - Prob. 2.47PPCh. 2.4 - Prob. 2.48PPCh. 2.4 - Prob. 2.49PPCh. 2.4 - Prob. 2.50PPCh. 2.4 - Prob. 2.51PPCh. 2.4 - Prob. 2.52PPCh. 2.4 - Practice Problem 2.53 (solution page 160) Fill in...Ch. 2.4 - Practice Problem 2.54 (solution page 160) Assume...Ch. 2 - Compile and run the sample code that uses...Ch. 2 - Try running the code for show_bytes for different...Ch. 2 - Prob. 2.57HWCh. 2 - Write a procedure is_little_endian that will...Ch. 2 - Prob. 2.59HWCh. 2 - Prob. 2.60HWCh. 2 - Prob. 2.61HWCh. 2 - Write a function int_shifts_are_arithmetic() that...Ch. 2 - Fill in code for the following C functions....Ch. 2 - Write code to implement the following function: /...Ch. 2 - Write code to implement the following function: /...Ch. 2 - Write code to implement the following function: / ...Ch. 2 - You are given the task of writing a procedure...Ch. 2 - Prob. 2.68HWCh. 2 - Write code for a function with the following...Ch. 2 - Write code for the function with the following...Ch. 2 - You just started working for a company that is...Ch. 2 - You are given the task of writing a function that...Ch. 2 - Write code for a function with the following...Ch. 2 - Write a function with the following prototype: /...Ch. 2 - Prob. 2.75HWCh. 2 - The library function calloc has the following...Ch. 2 - Prob. 2.77HWCh. 2 - Write code for a function with the following...Ch. 2 - Prob. 2.79HWCh. 2 - Write code for a function threefourths that, for...Ch. 2 - Prob. 2.81HWCh. 2 - Prob. 2.82HWCh. 2 - Prob. 2.83HWCh. 2 - Prob. 2.84HWCh. 2 - Prob. 2.85HWCh. 2 - Intel-compatible processors also support an...Ch. 2 - Prob. 2.87HWCh. 2 - Prob. 2.88HWCh. 2 - We are running programs on a machine where values...Ch. 2 - You have been assigned the task of writing a C...Ch. 2 - Prob. 2.91HWCh. 2 - Prob. 2.92HWCh. 2 - following the bit-level floating-point coding...Ch. 2 - Following the bit-level floating-point coding...Ch. 2 - Following the bit-level floating-point coding...Ch. 2 - Following the bit-level floating-point coding...Ch. 2 - Prob. 2.97HW
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