Assuming the square 2D memory organization shown in Figure 5.7 below, what are t

Question

Assuming the square 2D memory organization shown in Figure 5.7 below, what are the dimensions of a memory containing 64 (26) bytes of storage? How large would the MAR be?   How many bits are sent to the row and column decoders?   How many output lines would these decoders have?

FIGURE 5.7 Column Column Column Column 2 (10) Address (00) 0001 0010 0011 Row O (00) 0100 0110 0111 Row 1 (01) Row selection lines 1000 1001 1010 1011 Row 2 (10) 1100 1101 1110 Row 3 (11) Column selection lines Iwo-dimensional memory organization

Explanation / Answer

The dimension of the memory would be 8*8. This is because the memory is organized in the form of a 2D square. Hence, for a memory containing 64 bytes, the size of the square should be sqrt(64) = 8.

3 bits are sent to the row and column decoders. This is because each decoder is responsible for producing output lines to detect each row and colum. Since we have 8 rows and columns, to select them, we would need log2(8) = 3 bits.

The number of output line in each of these decoders will be 23 = 8.

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