Question

A dram has 12 address pins and its row address is 1 bit longer than its column address. how many addresses total does the dram have?

Answer 1

The dram has 12 address pins and its row address is 1 bit longer than its column address. The total number of addresses can be calculated by multiplying the number of possible values for the column and row addresses. The simplified expression for the total addresses is 2^(2X+1).

Step-by-step explanation:

The dram has 12 address pins and its row address is 1 bit longer than its column address. Let's assume the column address has X bits. Since the row address is 1 bit longer, it would have X + 1 bits. To find the total number of addresses, we need to multiply the number of possible values for each address. For the column address, it can have 2^X possible values (2 options for each bit). And for the row address, it can have 2^(X+1) possible values.

So the total number of addresses is:

1. Column addresses: 2^X
2. Row addresses: 2^(X+1)

To find the total number of addresses, we need to multiply the number of possible values for the column and row addresses:

Total addresses = (2^X) * (2^(X+1))

Simplifying the expression, we get:

Total addresses = 2^(2X+1)