Difference between revisions of "CSC270 Homework 3 2016"

From dftwiki3
Jump to: navigation, search
(Problem 1)
(Problem 1)
Line 11: Line 11:
 
:Using this design as inspiration, design a 32-bit subtraction circuit, that will output ''a''-''b'', if ''a'' and ''b'' are the two integers whose bits are shown in the diagram.   
 
:Using this design as inspiration, design a 32-bit subtraction circuit, that will output ''a''-''b'', if ''a'' and ''b'' are the two integers whose bits are shown in the diagram.   
  
::''Hints'':  ''a''-''b'' is really ''a'' + ''b'''s 2's complement.
+
::''Hints'':  ''a''-''b'' is really ''a'' + the 2's complement of ''b''.
 
<br />
 
<br />
 +
=Problem 2=
 +
<br />
 +
Design a circuit that has 3 input sets: ''a'', a 32-bit signal, ''b'', another 32-bit signal, and ''x'', a 1-bit signal.  The circuit has 33 outputs.  When ''x'' is 0, the circuit outputs ''a''+''b''.  When ''x'' is 1, the circuit outputs ''a''-''b''.
 
<br />
 
<br />
 
<br />
 
<br />

Revision as of 20:28, 9 February 2016

--D. Thiebaut (talk) 20:13, 9 February 2016 (EST)



Problem 1


Below is a 32-bit binary adder. We have seen it in class. It outputs a+b, where a is represented by a31...a0, and b by b31...b0.

BinaryAdder.png


Question 1
Using this design as inspiration, design a 32-bit subtraction circuit, that will output a-b, if a and b are the two integers whose bits are shown in the diagram.
Hints: a-b is really a + the 2's complement of b.


Problem 2


Design a circuit that has 3 input sets: a, a 32-bit signal, b, another 32-bit signal, and x, a 1-bit signal. The circuit has 33 outputs. When x is 0, the circuit outputs a+b. When x is 1, the circuit outputs a-b.