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Consider a hypothetical control unit that supports 5 groups of mutually exclusive control signals. Also assume that group 1 & group 2 are using horizontal micro-programming whereas group-3, 4 and 5 are using vertical micro-programming. The total number of bits used for control words are ________.     My doubt is what does it mean by 5 groups of mutually exclusive signals?

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It means there are 5 separate groups of control signals that are used independently from each other. At the same time, you may use a signal each from each of the 5 groups.

Here it says G1 and G2 are of 43 and 29 signals each and are horizontally microprogrammed words. So $43 + 29$ bits.

G3, G4 and G5 are are vertically microprogrammed and should be able to generate 76, 130 and 100 signals each. So that is $log_276 + log_2130 + log_2100$.
by (1.9k points)
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$43+29+\left \lceil log_276 \right \rceil + \left \lceil log_2130 \right \rceil + \left \lceil log_2100 \right \rceil $ to be precise ;)
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What if I've invented a new way of storing fractional bits ?? :D
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Here groups are mutually exclusive or the signals in a group are mutually exclusive ?
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