NIMCET 2022 — Computer PYQ

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Question

NIMCET 2022 — Computer PYQ

NIMCET | Computer | 2022

FFFF will be the last memory location in a memory is size

Choose the correct answer:

Explanation

To find the total memory size, we first determine the total number of addressable locations. If the last address is $FFFF_{16}$ , and the first address is $0000_{16}$ , the total number of locations is:

\text{Total Locations} = \text{Last Address} + 1

\text{Total Locations} = FFFF_{16} + 1

Converting the hexadecimal value $FFFF$ to decimal:

FFFF_{16} = (15 \times 16^3) + (15 \times 16^2) + (15 \times 16^1) + (15 \times 16^0)

FFFF_{16} = 61440 + 3840 + 240 + 15 = 65535

Now, adding 1 for the total count:

65535 + 1 = 65536 \text{ bytes}

To convert bytes into Kilobytes (K), we divide by $1024$ (since $1\text{K} = 2^{10} = 1024$ ):

\text{Memory Size} = \frac{65536}{1024}

\text{Memory Size} = 64\text{K}

\therefore \text{Correct Option: } \mathbf{C}