Overflow DetectorLab L04IntroductionIn order to obtain a correct answer when adding and subtracting, we must ensure that the resulthas a sufficient number of bits to accommodate the sum. If we start with two n-bit numbers, andthe sum occupies n+1 bits, we say that an overflow occurs. Overflow is a problem in computersbecause the number of bits that hold a number is fixed, and a result that exceeds the number ofbits cannot be accommodated. For this reason, computers detect and can signal the occurrence ofan overflow.With signed numbers, an overflow cannot occur for an addition if one number is positiveand the other is negative: Adding a positive number to a negative number produces aresult whose magnitude is equal to or smaller than the larger of the original numbers. Anoverflow may occur if the two numbers added are both positive or both negative.Example:01000 (8)+01001 (9)10001 (-15)11000 (-8)+10111 (-9)01111 (+15)An overflow condition can be detected by observing the carry into the sign bit position and thecarry out of the sign bit position. If these two carries are not equal, an overflow has occurred.DesignAdd the required components to the circuit you implemented for lab 2 (the 4-bit 2's complementadder/subtractor circuit) to check for an overflow. One of the components you need to add is anoverflow indicator V. If the add/subtract operation results in an overflow the indicator V becomes1, otherwise v=0.Submitting Results1.Perform the following arithmetic operations using your adder - subtractor circuit and verify thatthe added overflow detector work fine:(i) 0011 +0101(ii) 1101 + 1110(iii) 0111 + 10012.All macros are to be submitted with your assignment. Please make sure that each macroincludes your name, datte and assignment number. Also that they are named correctly ie:LastnameF_L04x (Where Lastname is your last name, F is your first initial and x is a uniqueletter [a-z] that you used to distinguish each macro.Reference- M. Mano and C. Kime: "Logic and Computer Design Fundamentals", Prentice HallPublisher, 2000, ISBN: 0-13-012468-0.

+01001 (9) 10001 (-15) 01111 (+15) ion can be detected by observing the carry into the sign bit position and the bit position. If these two carries are not equal, an overflow has occurred. +10111 (-9) mponents to the circuit you implemented for lab 2 (the 4-bit 2's complement cuit) to check for an overflow. One of the components you need to add is an

+01001 (9) 10001 (-15) 01111 (+15) ion can be detected by observing the carry into the sign bit position and the bit position. If these two carries are not equal, an overflow has occurred. +10111 (-9) mponents to the circuit you implemented for lab 2 (the 4-bit 2's complement cuit) to check for an overflow. One of the components you need to add is an

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Chapter1: Introduction

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Question

Overflow Detector
Lab L04
Introduction
In order to obtain a correct answer when adding and subtracting, we must ensure that the result
has a sufficient number of bits to accommodate the sum. If we start with two n-bit numbers, and
the sum occupies n+1 bits, we say that an overflow occurs. Overflow is a problem in computers
because the number of bits that hold a number is fixed, and a result that exceeds the number of
bits cannot be accommodated. For this reason, computers detect and can signal the occurrence of
an overflow.
With signed numbers, an overflow cannot occur for an addition if one number is positive
and the other is negative: Adding a positive number to a negative number produces a
result whose magnitude is equal to or smaller than the larger of the original numbers. An
overflow may occur if the two numbers added are both positive or both negative.
Example:
01000 (8)
+01001 (9)
10001 (-15)
11000 (-8)
+10111 (-9)
01111 (+15)
An overflow condition can be detected by observing the carry into the sign bit position and the
carry out of the sign bit position. If these two carries are not equal, an overflow has occurred.
Design
Add the required components to the circuit you implemented for lab 2 (the 4-bit 2's complement
adder/subtractor circuit) to check for an overflow. One of the components you need to add is an
overflow indicator V. If the add/subtract operation results in an overflow the indicator V becomes
1, otherwise v=0.
Submitting Results
1.Perform the following arithmetic operations using your adder - subtractor circuit and verify that
the added overflow detector work fine:
(i) 0011 +0101
(ii) 1101 + 1110
(iii) 0111 + 1001
2.All macros are to be submitted with your assignment. Please make sure that each macro
includes your name, datte and assignment number. Also that they are named correctly ie:
LastnameF_L04x (Where Lastname is your last name, F is your first initial and x is a unique
letter [a-z] that you used to distinguish each macro.
Reference
- M. Mano and C. Kime: "Logic and Computer Design Fundamentals", Prentice Hall
Publisher, 2000, ISBN: 0-13-012468-0.

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