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A computer has 1,024 registers (numbered 0 to 1,023). Arithmetic instructions for this computer hold three...

A computer has 1,024 registers (numbered 0 to 1,023). Arithmetic instructions for this computer hold three register numbers. How many bits are needed to hold the register numbers?

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Answer #1

Answer : In the given problem , number of registers = 1024

number of bits required for a register = log 2(number of registers)

= log 2 (1024) = log 2(210) = 10

So , each register requires 10 bits

Since , computer holds three register numbers.

Number of bits needed to hold the register numbers = 3 * 10 = 30 bits.

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