QUIZ
MATHEMATICS FOR COMPUTING
Section A
1. Convert the binary number to Hex 1101101111110101 to
Hexadecimals (10 Marks)
2. Convert the following hex number ABC7 to binary (10 Marks)
3. Convert the following to base 10 (10 Marks)
i) 12570 ₈
ii) 10000101011.0110110₂
4. Minimize the following Boolean expression using Boolean identities (10
Marks)
i) F(A,B,C)=A’B+BC’+BC+AB’C’
ii) F(A,B,C)=(A+B)(B+C)
Section B
2 a) minimize the following Boolean expression using K-map (10
Marks)
F(A,B,C)=A’BC+A’BC’+AB’C’+AB’C’
b) How many ways can you choose 3 distinct groups of 3 students
from total 9
students? (5 Marks)
3 a) In a group of 50 students 24 like cold drinks and 36 like hot
drinks and each
student likes at least one of the two drinks. How many like both
coffee and tea? (5 Marks)
b) Construct the truth table of the compound proposition (p v ¬ q)
→ (p ^ q).
(10 Marks)
MATHEMATICS FOR COMPUTING
Section A
1. Convert the binary number to Hex 1101101111110101 to
Hexadecimals (10 Marks)
2. Convert the following hex number ABC7 to binary (10 Marks)
3. Convert the following to base 10 (10 Marks)
i) 12570 ₈
ii) 10000101011.0110110₂
4. Minimize the following Boolean expression using Boolean identities (10
Marks)
i) F(A,B,C)=A’B+BC’+BC+AB’C’
ii) F(A,B,C)=(A+B)(B+C)
Section B
2 a) minimize the following Boolean expression using K-map (10
Marks)
F(A,B,C)=A’BC+A’BC’+AB’C’+AB’C’
b) How many ways can you choose 3 distinct groups of 3 students
from total 9
students? (5 Marks)
3 a) In a group of 50 students 24 like cold drinks and 36 like hot
drinks and each
student likes at least one of the two drinks. How many like both
coffee and tea? (5 Marks)
b) Construct the truth table of the compound proposition (p v ¬ q)
→ (p ^ q).
(10 Marks)
