Thank you, but I don't understand the "therefore" and which laws/identities were used. I've attached a chart of the Boolean laws/identities that are supposed to be used, step by step, to get from the starting expression to the finishing expression.
Thank you, but I don't understand the "therefore" and which laws/identities were used. I've attached a chart of the Boolean laws/identities that are supposed to be used, step by step, to get from the starting expression to the finishing expression.
- Distributive law: MXY' + M'XY + MXY = (MX + M' + M)XY' = MX'Y + M'XY'
- Commutative law: MX'Y + M'XY' = M'XY' + MX'Y
- Distributive law: M'XY' + MX'Y = (M' + M)X'Y = XY'
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Thank you, but I'm just not able to follow what is being done. It looks to me like the first minterm was left out of the initial step with no explanation as to why, and then it says MXY' + M'XY + MXY = (MX + M' + M)XY', but if I multiply out (MX + M' + M)XY', I get MXY'+M'XY'+MXY'. The M'XY' is not in the left side; so I don't see how this works. Then, later on, a complement law is mentioned, which does not exist in the chart, and there is no law/identity in the chart that matches going from XY' to X'+Y'. I apologize for being dumb here, but I'm just not following how you're getting from one expression to another. Could you please dumb it down even more for me. Thank you.