Explanation of Solution
Ripple carry adder of 16-bit:
The time unit is denoted by T.
In ripple carry adder, 2T time is required to generate and propagate the carry of each bit.
The delay can be calculated as follows
Therefore, the delay for 16-bit ripple carry adder is 32T.
Ripple carry adder of 16-bit for 4-bit groups:
The number of blocks generated can be calculates as
In ripple carry adder, 2T time is required to generate and propagate the carry of each bit.
The time taken by single block is 2T and then the time taken by 4 blocks can be calculated as follows
Therefore, the time by 4 blocks is 8T
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Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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