.Open Discrete Math Assignment #1 Evens Solution - 6:30PM

. Introduction

Below is the solutions to the even problems for assignment #1...

2a. No
2b. No
2c. Proposition, False
2d. No
2e. Proposition, False
2f. No

4a. Jennifer and Teja are not friends.
4b. There are not 13 items in a baker's dozen.
4c. Abby did not send more than 100 text messages every day.
4d. 121 is not a perfect square.

6a. True
6b. True
6c. False
6d. false
6e. False

32a/b

.Table p    p'    32a. p -> p'    32b. p <-> p'
.Row T    F    F    F
.Row F    T    T    F
.Close.Table

32c/d/e/f
.Table p    q    32c. p xor ( p or q )    32d. ( p and q ) -> ( p or q )    32e. ( q -> p' ) <-> ( p <-> q )    32f. ( p <-> q ) xor ( p <-> q' )
.Row T    T    F    T    F    T
.Row T    F    F    T    F    T
.Row F    T    T    T    F    T
.Row F    F    F    T    T    T
.Close.Table

44a.

.As_is     0 1011
.As_is  or 1 1011
.As_is ----------
.As_is     1 1011
.As_is and 1 1000
.As_is ----------
.As_is     1 1000
    
44b.

.As_is     0 1111
.As_is and 1 0101
.As_is ----------
.As_is     0 0101
.As_is  or 0 1000
.As_is ----------
.As_is     0 1101

44c.

.As_is     0 1010
.As_is xor 1 1011
.As_is ----------
.As_is     1 0001
.As_is xor 0 1000
.As_is ----------
.As_is     1 1001
    
44d.

.As_is     1 1011     1 0001
.As_is  or 0 1010  or 1 1011
.As_is ---------- ----------
.As_is     1 1011     1 1011
.As_is and 1 1011 <-----+
.As_is ----------
.As_is     1 1011
    
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.Close Discrete Math Assignment #1 Evens Solution - 6:30PM