1 (3 points) A certain online vendor requires each of its registered users to ch

Question

1 (3 points) A certain online vendor requires each of its registered users to choose a password that must be 7 characters long and subject to the following:

• The 1st character must be an uppercase letter ('A' through 'Z').
• The 2nd character must be one of 8 specified (non-alphanumeric) symbols. (NOTE: You don't have to know what exactly these 8 symbols are.)
• The 3rd character must be one of the digits ('0' through '9').
• Each of the remaining (4th throuth 7th) characters can be any combination of uppercase or lowercase letters, digits, or symbols, where the symbols are from the 8 specified symbols.

How many different (distinct) passwords can be supported using the above rules?.

Explanation / Answer

A)

a. carry: 000000100

01010110

01100111

sum: 10111101

1) A,D,H

overflow: N

2s complement of both numbers are: 10101010,10011001

carry: 101110000

10101010

10011001

sum: 01000011

2) B, G, I

overflow : Y

b)

carry: 111111100

10111111

01000010

sum: 00000001

1) B,C,I

overflow: Y

2s complement of both numbers are: 01000001,10111110

carry: 000000000

01000001

10111110

sum: 11111111

2) A,C,H

overflow : N

c)

carry: 111100000

11110000

10110110

sum: 10100110

1)B, G, I

overflow : Y

2s complement of both numbers are: 00010000,01001010

carry: 000011110

00010000

01001010

sum: 01011010

2) A,D,H

overflow : N

d)

carry: 011100000

01111101

00110001

sum: 10101110

1)A,D,H

overflow : N

2s complement of both numbers are: 10000011,11001111

carry: 100011110

10000011

11001111

sum: 01010010

2) B,G,I

overflow : Y

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