1.3 Perform the addition of the following unsigned (i.e., not two’s complemented) binary numbers: (a) 1111 (b) 1011 (c) 1110011 1010 + 0011 + 0011110 Suppose that unsigned numbers are stored in five bits. Perform the following additions, indicating which additions produce overflow. 1.4 (a) 111100 (b) 101100 (c) 111001 001011 + 001100 + 011001

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
Section: Chapter Questions
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1.3
Perform the addition of the following unsigned (i.e., not two’s complemented) binary numbers:
(a)
1111
(b)
+ 0011
1011
(c)
1110011
1010
+ 0011110
Suppose that unsigned numbers are stored in five bits. Perform the following additions, indicating
which additions produce overflow.
1.4
(а)
111100
(b)
101100
(c)
111001
001011
+ 001100
+ 011001
1.5
Suppose we use 6 bits to store integers. Show the following additions in binary:
(а)
(b)
10 + 5
32 +31
1 +31
(d)
21 + 21
1.6
Express the following numbers as 8-bit binary numbers in two's complement notation:
(а)
(b)
1
60
-60
(c)
(d)
0.
-1
(e)
(f)
12
-15
(8)
-128
(h)
Transcribed Image Text:1.3 Perform the addition of the following unsigned (i.e., not two’s complemented) binary numbers: (a) 1111 (b) + 0011 1011 (c) 1110011 1010 + 0011110 Suppose that unsigned numbers are stored in five bits. Perform the following additions, indicating which additions produce overflow. 1.4 (а) 111100 (b) 101100 (c) 111001 001011 + 001100 + 011001 1.5 Suppose we use 6 bits to store integers. Show the following additions in binary: (а) (b) 10 + 5 32 +31 1 +31 (d) 21 + 21 1.6 Express the following numbers as 8-bit binary numbers in two's complement notation: (а) (b) 1 60 -60 (c) (d) 0. -1 (e) (f) 12 -15 (8) -128 (h)
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