A processor has a 4294967296-byte data memory and a single 131072-line data cache. The cache is a 1-way set associative cache with lines that are 256 bytes in size. When the instruction lb $8,0($4) is executed, CPU register $4 contains the address of final byte within memory block 2928610. All numbers listed above are decimal.
a) (4) Show the 8-digit hex address contained in register $4.
b) (6) Write down a sequence of at most two MIPS true-op instructions that place into register $6 the line number of the cache line into which the memory block is loaded.

(b) Two MIPS true-op instructions that place into register $6 the line number of the cache line into which the memory block is loaded are:

srl $6, $4, 8
and $6, $6, 0x1FFFF

What is hex address?

In math and computing, the hexadecimal (also base-16 or just hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Hexadecimal uses 16 different symbols, compared to decimal's 10 for representing numbers. The most common ones are "0" through "9" for 0 to 9 and "A" through "F" (or alternatively "a" through "f") for 10 to 15.

Because they offer a user-friendly representation of binary-coded values, hexadecimal numbers are frequently used by software developers and system designers. Four bits, also known as a nibble, or a hexadecimal digit, are represented by each hexadecimal digit (or nybble). For instance, an 8-bit byte can conveniently be represented as 00 to FF in hexadecimal, which corresponds to binary values ranging from 00000000 to 11111111.

Learn more about hexadecimal

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