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2018
Mathematics
JAMB
If y = 23
five
+ 101
three
, find y, leaving your answer in base two
A.
1110
B.
10111
C.
11101
D.
111100
Correct Answer:
10111
Explanation
y = 23
five
+ 101
three
23
five
= 2 × 5
1
+ 3 × 5
0
= 13
ten
101
three
= 1×3
2
+ 0 × 3
1
+ 1 × 3
0
= 10
ten
y
ten
= 13
ten
+ 10
ten
= 23
ten
= 10111
two
y = 23
five
+ 101
three
23
five
= 2 × 5
1
+ 3 × 5
0
= 13
ten
101
three
= 1×3
2
+ 0 × 3
1
+ 1 × 3
0
= 10
ten
y
ten
= 13
ten
+ 10
ten
= 23
ten
= 10111
two
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