The address bus of a computer has 32 address lines, A_31 - 0. If the hexadecimal
ID: 3806164 • Letter: T
Question
The address bus of a computer has 32 address lines, A_31 - 0. If the hexadecimal address assigned to one device is 0 times AE72 9B20 and the address decode for that device ignores lines A_0 and A_1, what are all the addresses to which this device will respond? The address bus of a computer has 32 address lines, A_31 - 0. If the hexadecimal address assigned to one device is 0 times AE72 9B20 and the address decode for that device ignores lines A_1 through A_3, what are all the addresses to which this device will respond? The address bus of a computer has 32 address lines, A_31 - 0. If the hexadecimal address assigned to one device is 0 times AE72 9B20 and the address decode for that device ignores lines A_0 through A_7, what are all the addresses to which this device will respond? The address bus of a computer has 32 address lines, A_31 - 0. If the hexadecimal address assigned to one device is 0 times AE72 9B20 and the address decode for that device ignores lines A_30 and A_31, what are all the addresses to which this device will respond?Explanation / Answer
1.
Gievn address is 0xAE72 9B20 in hexadecimal which is
1010 1110 0111 0010 1001 1011 0010 0000 in binary
If the device ignores A0 and A1 then for any combination of A1A0 it will resopond
the rest of 30 bits will be same as 1010 1110 0111 0010 1001 1011 0010 00.
Here for A1A0 we will get 4 combinations 00 , 01 , 10 , 11.
So the device address that responds are in the fromat 1010 1110 0111 0010 1001 1011 0010 00XX.
Device List that responds :-
1) 1010 1110 0111 0010 1001 1011 0010 0000 ( 0xAE72 9B20 )
2) 1010 1110 0111 0010 1001 1011 0010 0001 ( 0xAE72 9B21 )
3) 1010 1110 0111 0010 1001 1011 0010 0010 ( 0xAE72 9B22 )
4) 1010 1110 0111 0010 1001 1011 0010 0011 ( 0xAE72 9B23 )
Total number of devices that respond is = 4.
2.
Gievn address is 0xAE72 9B20 in hexadecimal which is
1010 1110 0111 0010 1001 1011 0010 0000 in binary
If the device ignores A1A2A3 then for any combination of A1A2A3 it will resopond
the rest of 27 bits will be same.
Here for A1A2A3we will get 8 combinations 000 , 001 , 010 , 011 , 100 , 101 , 110 , 111.
So the device address that responds are in the fromat 1010 1110 0111 0010 1001 1011 0010 XXX0.
Device List that responds :-
1) 1010 1110 0111 0010 1001 1011 0010 0000 ( 0xAE72 9B20 )
2) 1010 1110 0111 0010 1001 1011 0010 0010 ( 0xAE72 9B22 )
3) 1010 1110 0111 0010 1001 1011 0010 0100 ( 0xAE72 9B24 )
4) 1010 1110 0111 0010 1001 1011 0010 0110 ( 0xAE72 9B26 )
5) 1010 1110 0111 0010 1001 1011 0010 1000 ( 0xAE72 9B28 )
6) 1010 1110 0111 0010 1001 1011 0010 1010 ( 0xAE72 9B2A )
7) 1010 1110 0111 0010 1001 1011 0010 1100 ( 0xAE72 9B2C )
8) 1010 1110 0111 0010 1001 1011 0010 1110 ( 0xAE72 9B2E )
Total number of devices that respond is = 8.
3.
Gievn address is 0xAE72 9B20 in hexadecimal which is
1010 1110 0111 0010 1001 1011 0010 0000 in binary
If the device ignores A0A1A2A3A4A5A6A7 then for any combination of A0A1A2A3A4A5A6A7 it will resopond
the rest of 25 bits will be same.
So the device address that responds are in the fromat 1010 1110 0111 0010 1001 1011 XXXX XXXX.
Device List that responds :-
1) 1010 1110 0111 0010 1001 1011 0000 0000 ( 0xAE72 9B00 )
2) 1010 1110 0111 0010 1001 1011 0000 0001 ( 0xAE72 9B01 )
3) 1010 1110 0111 0010 1001 1011 0000 0010 ( 0xAE72 9B02 )
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255) 1010 1110 0111 0010 1001 1011 1111 1110 ( 0xAE72 9BFE )
256) 1010 1110 0111 0010 1001 1011 1111 1111 ( 0xAE72 9BFF )
Total number of devices that respond is = 256.
4.
Gievn address is 0xAE72 9B20 in hexadecimal which is
1010 1110 0111 0010 1001 1011 0010 0000 in binary
If the device ignores A30 and A31 then for any combination of A31A30 it will resopond
the rest of 30 bits will be same as 10 1110 0111 0010 1001 1011 0010 0000.
Here for A31A30 we will get 4 combinations 00 , 01 , 10 , 11.
So the device address that responds are in the fromat XX10 1110 0111 0010 1001 1011 0010 0000.
Device List that responds :-
1) 0010 1110 0111 0010 1001 1011 0010 0000 ( 0x2E72 9B20 )
2) 0110 1110 0111 0010 1001 1011 0010 0000 ( 0x6E72 9B20 )
3) 1010 1110 0111 0010 1001 1011 0010 0000 ( 0xAE72 9B20 )
4) 1110 1110 0111 0010 1001 1011 0010 0000 ( 0xEE72 9B20 )
Total number of devices that respond is = 4.
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