Discussion
The amount of ROM needed to implement a 4 bit multiplier is
Answer: D
The ROM needed is 2 kbits.
A 4-bit by 4-bit multiplier has 8 input bits, which are the ROM address, and its product needs up to 8 bits, which is the ROM word. So
\[ \begin{aligned} 2^{8} \times 8 &= 256 \times 8 \\ &= 2048\ \text{bits} = 2\ \text{kbits} \end{aligned} \]
1 kbits would come from a 4-bit word, too small for products up to \(15 \times 15 = 225\). 64 and 128 bits use far too few addresses.
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