Question

Convert the following binary no. into decimal no. and vice versa:-
i) 11110(to decimal)
ii)10010(to decimal)
iii)75(to binary)
iv)180(to binary)

Answer 1

Expand (2x+y−3)(2x+y+3)(2x+y-3)(2x+y+3) by multiplying each term in the first expression by each term in the second expression.

2x(2x)+2xy+2x⋅3+y(2x)+y⋅y+y⋅3−3(2x)−3y−3⋅32x(2x)+2xy+2x⋅3+y(2x)+y⋅y+y⋅3-3(2x)-3y-3⋅3

Simplify terms.

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4x2+2xy+2yx+y2−94x2+2xy+2yx+y2-9

Add 2xy2xy and 2yx2yx.

Answer 2

Explanation:

i) 11110 - 30

ii) 10010 - 18

iii) 75 - 1001011

iv) 180 - 10110100