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Homework 4 with 2 Practice Problems on Introduction to Logic Design | ECE 130, Assignments of Electrical and Electronics Engineering

Rose-Hulman Institute of Technology (RHIT)Electrical and Electronics Engineering

Material Type: Assignment; Class: Introduction to Logic Design; Subject: Electrical & Computer Eng.; University: Rose-Hulman Institute of Technology; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/17/2009

koofers-user-980
koofers-user-980 🇺🇸

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ECE 130 HW#4 – Due Monday, March 22.
Do not use a calculator! Show all work!
1. Complete the following table with the indicated 4-bit signed system representations:
Decimal
Value Unsigned
Binary Sign and
Magnitude 1’s
Complement 2’s
Complement
8
7
6
5
4
3
2
1
0
-1
-2
-3
-4
-5
-6
-7
-8
pf2

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Download Homework 4 with 2 Practice Problems on Introduction to Logic Design | ECE 130 and more Assignments Electrical and Electronics Engineering in PDF only on Docsity!

ECE 130 HW#4 – Due Monday, March 22.

Do not use a calculator! Show all work!

  1. Complete the following table with the indicated 4-bit signed system representations:

Decimal Value

Unsigned Binary

Sign and Magnitude

1’s Complement

2’s Complement

8 7 6 5 4 3 2 1 0

  1. Perform the following arithmetic problems in a 4-bit 2’s complement binary system. Convert the decimal values to their 2’s complement representation, calculate the result of binary addition, and then convert your answer back to decimal. Indicate when overflow/underflow has occurred.

a) 5 – 3

b) 3 – 5

c) 7 + -

d) 3 + 5

e) -3 – 5

f) -6 + -