(b) Consider an equation, y = 2x + 1, where x is ranged from -8 to 7. Two's complement number system is used to build the circuit using the given ROM as specified in Figure Q.4 (b). Given that, A is the ROM address, D is the ROM data output and R/W' as the single input to read and write the data output. Other inputs/outputs of the ROM are not shown. (i) Specify the size of the ROM. A[3:01 0110 0111 1000 A[3:0] 1001 R/W' (ii) Complete Table Q.4 to show the values of x and the contents of ROM for the given ROM addresses only. 1111 Figure Q.4 (b) Table Q.4 D[9:0] x (in decimal) 10 +10 D[9:0] (in binary)

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(b)
Consider an equation, y = 2x + 1, where x is ranged from -8 to 7. Two’s complement
number system is used to build the circuit using the given ROM as specified in Figure
Q.4 (b). Given that, A is the ROM address, D is the ROM data output and R/W'as the
single input to read and write the data output. Other inputs/outputs of the ROM are not
shown.
4
А[3:0]
10
D[9:0]
R/W'
Figure Q.4 (b)
(i) Specify the size of the ROM.
(ii) Complete Table Q.4 to show the values of x and the contents of ROM for the given
ROM addresses only.
Table Q.4
A[3:0] x (in decimal)
D[9:0] (in binary)
0110
0111
1000
1001
1111
Transcribed Image Text:(b) Consider an equation, y = 2x + 1, where x is ranged from -8 to 7. Two’s complement number system is used to build the circuit using the given ROM as specified in Figure Q.4 (b). Given that, A is the ROM address, D is the ROM data output and R/W'as the single input to read and write the data output. Other inputs/outputs of the ROM are not shown. 4 А[3:0] 10 D[9:0] R/W' Figure Q.4 (b) (i) Specify the size of the ROM. (ii) Complete Table Q.4 to show the values of x and the contents of ROM for the given ROM addresses only. Table Q.4 A[3:0] x (in decimal) D[9:0] (in binary) 0110 0111 1000 1001 1111
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