If D is the duty ratio, the input and output relation of a buck converter and boost converter are:

1
Vout = D Vin  and Vout = \(\frac{1}{{1 - {\rm{D}}}}\) Vin
2
Vout = D Vin  and Vout = \(\frac{1}{{1 + {\rm{D}}}}\) Vin
3
Vout = D Vin  and Vout = \(\frac{D}{{1 - {\rm{D}}}}\) Vin
4
Vout = \(\frac{D}{{1 + {\rm{D}}}}\) Vin  and Vout = \(\frac{1}{{1 - {\rm{D}}}}\) Vin

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