Module Title

Module Title: Fundamentals of Mathematics
Programme: Degree Foundation
Semester: Two
Student name: Omer Elzahawi
Student ID: 0063MWYMWY0418
Lecturer: Reena Nadarajah
Question 1
Convert the following numbers to base 2, base 8, base 10 and base 16.

6910
6768
2F16
10011012
Answers:
953135403860Base 2 Base8 Base16
213995224155162369560325953135157480 2 69 8 69 16 69
2063752305051631315146051623695128905953135165100221615-220980 2 34 -1 8 8-5 16 4-5
213995202565953135149860 2 17 -0 8 1-0
221615209550 2 8 -1
213995152400 2 4 -0
221615172720 2 2 -0
2 1 -1
false false false
13646156985072453539370 Base2 Base10 Base16

160083514795515932151841535115514033535115533655 2 446 (6×82 ) 16 676
1593215155575351155155575 2 223-0 (7×81) 16 42-4
1593215147955 2 111-1 +(6×80) 16 2-10
3435351555753511553175 2 55-1 =false =false
351155153035 2 27-1
351155153035 2 13-1
351155160655 2 6-1
358775153035 2 3-0
358775145415 2 1-1
= false
983615146054349756985Base2 Base8 Base10
99695155575
99695155575602615170815594995336552 215 8 215 (2×162)
996951479555873751631952 107-1 8 26-7 (1×161)
996951479556026151327152 53-1 8 3-2 (5×160)
920751631952 26-1 =false =false
2 13-0
92075153035920756352 6-1
2 3-0
99695160655920756352 1-1
=false
777875218440Base16 Base8 Base10
128841546355
9607551365259302753746539687545085 16 77 8 77 (1×26)
93789513652538925516700539687514605 16 4-13 8 9-5 (0x25)
8 1-1 (0x24)
(1×23)
(1×22)
(0x21)
(1×20)
=false =false =false
Question 3
Calculate the following matrix equations.

20288255778576771517145-14 -3 -5
5 4 7
307022513335131445012700 6 -2 -10 9 + 2 5 -2 3
60 4 -1 0 4
Answers:
false=false
false+false=false
Question 4
Factor the following equations and find the values of x.

2×2 – 11x + 15
x2 – 4x – 45
-15×2 + 16x – 4
Answers:
(2x-5)(x-3) x=3or x=-3
(x+5)(x-9)x=5 or x=9
(-5x+2)(3x-2)x=2 or x=-2