Question 1

(a) Binary Number = 111111
Hexadecimal Number = 3F
(b) Decimal Number = 201
Binary Number = 11001001
(c) Hexadecimal Number = 2B
Decimal Number = 43

Question 2

(a) 111, 1000, 1001, 1010, 1011, 1100
(b) 101, 100, 11
(c) 9B, 9C, 9D, 9E, 9F, A0, A1, A2, A3, A4
(d) C5, C4, C3, C2, C1, C0, BF, BE, BD, BC

Question 3

(a) Binary Number = 1011.011
Hexadecimal Number = B.6
(b) Decimal Number = 59.5
Binary Number = 111011.1
(c) Hexadecimal Number = 37.5
Decimal Number = 55.3125

Question 4

(a) 11110100
(b) 100010110
(c) 1001
(d) 10001011
(e) 11011110
(f) 101011110
(g) Quotient = 110
Remainder = 1
(h) Quotient = 111
Remainder = 1

Question 5

(a) 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111,
1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111
(b) 2 ^ n >= 3 * 12
n >= 6
Minimum number of binary digits required = 6

Question 6

(a) 512 * 4 MB = 2048 MB = 2 GB
(b) 2 GB / 512 KB = 2048 MB / 0.5 MB = 4096

Question 7

p
q
p and q
not (p and q)
not p
not q
(not p) or (not q)
T
T
T
F
F
F
F
T
F
F
T
F
T
T
F
T
F
T
T
F
T
F
F
F
T
T
T
T

Question 8

p
q
p or q
not (p or q)
not p
not q
(not p) and (not q)
T
T
T
F
F
F
F
T
F
T
F
F
T
F
F
T
T
F
T
F
F
F
F
F
T
T
T
T

Question 9

p
q
not p
(not p) or q
p => q
T
T
F
T
T
T
F
F
F
F
F
T
T
T
T
F
F
T
T
T