Let the total number of control signals generated are n,...

Let the total number of control signals generated are $n$, then what is the number of bits allocated in control field of vertical micro programming?
(A) $n / 2$
(B) $n$
(C) $2^{n}$
(D) $\log _{2}^{n}$

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Key Concepts

Vertical Microprogramming

Vertical microprogramming is a style in microinstruction design where control signals are encoded (rather than explicitly controlling each alternative) within a microinstruction. This encoding allows for a more compact representation of the control field, but typically requires decoding logic to translate the bits into control signals.

Control Field in Microinstructions

The control field in a microinstruction contains the bits that are used to specify which control signals should be activated. In vertical microprogramming, instead of having one bit per control signal, a field of bits is used to select among a set of encoded control signals, reducing the overall word length required for the microinstruction.

Control Signal Encoding

When n control signals are encoded into the microinstruction's control field, the number of bits required is determined by the need to represent all possible control signals. Since log?n bits are sufficient to uniquely represent n distinct items, vertical microprogramming allocates log?n bits in the control field to encode the n control signals.

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