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, QUESTION 1 (10 marks)
Given:
1 0
0 1 0 0 1 1
𝐴=[ ],𝐵 = [ ] , 𝐶 = [1 0 ]
1 1 0 0 0 1
0 1
(1.1) 𝑨 + 𝑩
Add corresponding elements:
0+0 1+1 0+1 0 2 1
𝐴+𝐵 =[ ]=[ ]
1+0 1+0 0+1 1 1 1
(1.2) 𝑩𝑪
𝐵 = 2 × 3, 𝐶 = 3 × 2
1 0
0 1 1
𝐵𝐶 = [ ] [1 0 ]
0 0 1
0 1
Multiply:
Row 1:
• (1,1): 0(1) + 1(1) + 1(0) = 1
• (1,2): 0(0) + 1(0) + 1(1) = 1
Row 2:
• (2,1): 0(1) + 0(1) + 1(0) = 0
• (2,2): 0(0) + 0(0) + 1(1) = 1
1 1
𝐵𝐶 = [ ]
0 1
(1.3) 𝑨 ∨ 𝑩(Boolean OR)
0∨0 1∨1 0∨1 0 1 1
𝐴∨𝐵 =[ ]=[ ]
1∨0 1∨0 0∨1 1 1 1