Final answer:
The number of transistors of size approximately 35nm by 14nm that can fit in a 150mm^2 processor is closest to 1 billion transistors, which aligns with option D.
Step-by-step explanation:
To calculate the number of transistors that can fit in a 150mm2 processor when each transistor size is approximately 35nm by 14nm, first we need to convert the area of the processor to nanometers squared. Knowing that 1 meter equals 1,000,000,000 nanometers, we can find that 150mm2 is equal to 150,000,000,000 nm2 (150 x 1,000,000 x 1,000,000).
Next, we calculate the area of a single transistor by multiplying its length and width: 35nm x 14nm = 490 nm2. To find out how many transistors can fit in the processor, we divide the area of the processor by the area of a single transistor: 150,000,000,000 nm2 / 490 nm2 = approximately 306,122,448 transistors.
So, the number of transistors that can fit is closest to option D) 1 billion transistors.