Given the above table: Assuming unsigned 4-bit representation of numbers, under what conditions does adding produce a result that is not meaningful with respect to normal addition and the constraint of only 4 bits to hold the sum?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Given the above table:

Assuming unsigned 4-bit representation of numbers, under what conditions does adding produce a result that is not meaningful with respect to normal addition and the constraint of only 4 bits to hold the sum?

Binary A
input
Binary B
input
Binary
Sum
Decimal A
Decimal B
Decimal
Carry
input
input
Sum
0000
0111
0111
7
7
1100
0101
0001
12
5
17
0101
0101
1010
5
5
10
1111
1111
1110
15
15
30
0010
0110
1000
2
8
CO
Transcribed Image Text:Binary A input Binary B input Binary Sum Decimal A Decimal B Decimal Carry input input Sum 0000 0111 0111 7 7 1100 0101 0001 12 5 17 0101 0101 1010 5 5 10 1111 1111 1110 15 15 30 0010 0110 1000 2 8 CO
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