Question

Given an i-cache using direct mapping with 32 lines and a block size of 16, what are the tag, index, and offset of the reference word 0x123456? What if the cache is 16 lines?

Answer 1

Given incache number of cache lines = 32 index = logo (cache lines) =1092120) index = 5 bits Block size = 16 offeer = log2 (block size) = 6092 (24) = 4 Offret = 4 bits) Given Referenced word = Ox123456 Convert it into binany we get

1 2 3 4 5 6 0001 0010 00110100 0101 to the referenced word (is binary) ပ၀၀၊ ဝolo oo O၂ဝဝ ဝ၅၄၄ - index offier (4 bits) yag a5 bits) (5 bits) every referenced word for direet mapped cache has Tag index offer format) pag =15 bits index=5 bits, offrer= 4 bits N of cache lines = 16 index= log2 (16) = 4 bits offret = 4 bits Tag = total addres- index offset Tag = 2444 =16 bits

:. Топ = jь bik index= 4 bits offer a 4 bits