ECE-C451 Computer Arithmetic
Fall term 2010
Homework #7 Solution
1. Given A = (E5)16 and B = (F2)16
Perform the multiplication A x B using the following algorithms:
a.
Shiftleft A. B Firstversion
b.
S
ECE-C451 Computer Arithmetic
Fall Term 2010
Quiz #6
1. Consider a full decimal adder using a two-level design: first OR, then AND. Its
two inputs are two BCD digits (X and Y) and a carry (Cin). How ma
ECE-C451 Computer Arithmetic
Fall Term 2004
Quiz #2 Version 2
Name: _
Date: _
1. Give the truth table for a RS flip-flop. Derive a characteristic equation showing
how the next state depends on the inp
ECE-C451 Computer Arithmetic
Fall Term 2004
Quiz #2 Version 1
Name: _
Date: _
1. Give the truth table for a T flip-flop. Derive a characteristic equation showing
how the next state depends on the inpu
(2)
1.
Complements. Consider a positional m digit integer number system in radix r.
a) Let r = 6, m = 2. Take a number A6: (a1 ao)6 an adopt the following
notation.
If A6 2 0, denote it A6 = (O a
ECEC 451 Fall 2010
Homework Assignment 04
Solutions
1) Consider 4-digit binary arithmetic (m = 4). Find the space and time complexity of the
following circuits:
a) Ones complement generation
Assuming
ECE-C451 Computer Arithmetic
Fall term 2010
Homework #3 Solution
1. a. Perform the following additions/subtractions in binary with twos complement.
For each of these operations, simply follow the rule
ECEC 451 Computer Arithmetic
Fall 2010
Homework Assignment 2
Due Thursday Oct. 14th in class
1. Given a clocked SR flip-flop (see below), complete the timing diagram with the signals
for Q and Q. Assu
ECE-C451 Computer Arithmetic
Fall term 2010
Homework #1
Due in class on Thursday, October 7
1. Simplify f ( x, y, z, w) w xz w xyz wxy wxy
w x( z yz ) wxy wx y
w x( z y ) wxy wx y
w xz w xy wxy wx
ECE-C451 Computer Arithmetic
Fall term 2010
Homework #6 Solution
Design a circuit to perform algebraic addition of integers in sign and 2s complement format.
Subtraction (i.e., addition of a negative
Quiz 1 - Version 2
ECEC451 - Prof. Trachtenberg
1.
Reduce the following to a minimum sum of products form (3 terms, 6 literals).
abc + a + abc + abc
bc
= abc + a + (bc + abc)
bc
a
= abc + a + bc
bc
=
Quiz 1 - Version 1
ECEC451 - Prof. Trachtenberg
1.
Reduce the following to a minimum sum of products form (2 terms, 3 literals).
xy z + xy z + xyz + xy z + xyz
Associative
Ident (a + a) = 1
Distribu