Convert the following Boolean expressions into standard POSa) (A+B̅+C)(B̅+C+D̅)(A+B̅+C̅+D) b) (A+B)(A+B̅+C)(A̅+C)Classify and explain the types of RAMs
Question
Convert the following Boolean expressions into standard POS
a) (A+B̅+C)(B̅+C+D̅)(A+B̅+C̅+D)
b) (A+B)(A+B̅+C)(A̅+C)
Classify and explain the types of RAMs
Solution
Sure, let's break down your request into two parts.
- Convert the following Boolean expressions into standard POS (Product of Sums)
a) (A+B̅+C)(B̅+C+D̅)(A+B̅+C̅+D)
To convert this into standard POS form, we need to apply De Morgan's law which states that the complement of a conjunction is equal to the disjunction of the complements and vice versa.
So, the given expression can be written as:
= [(A'+B+C') * (B+C'+D) * (A'+B+C+D')]'
This is the standard POS form of the given Boolean expression.
b) (A+B)(A+B̅+C)(A̅+C)
Similarly, applying De Morgan's law, we get:
= [(A'+B') * (A'+B+C') * (A+C')]'
This is the standard POS form of the given Boolean expression.
- Classify and explain the types of RAMs
RAM (Random Access Memory) is a type of computer memory that can be accessed randomly. There are mainly two types of RAMs:
a) SRAM (Static Random Access Memory): It stores a bit of data on four transistors using two cross-coupled inverters. This type of RAM is faster and more reliable than DRAM as it does not need to be refreshed regularly. It is used for cache memory.
b) DRAM (Dynamic Random Access Memory): It stores a bit of data in a separate capacitor within an integrated circuit. Since capacitors leak charge, the information eventually fades unless the capacitor charge is refreshed periodically. Because of this refresh requirement, it is a dynamic memory as opposed to SRAM's static memory.
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