Brookshear Machine- Modify the code so that it adds 2, 12, and -4 instead
So far, I have converted the three numbers to be added to get:
Twos complement notation
2: 0000 0010
12: 0000 1100
-4: 1111 1100
Convert to hexadecimal
2: 02
12: 0c
-4: fc
Padded
2: 0200
12: 0c00
-4: fc00
But I am unsure of how to load them into the register and how to create the code to add the numbers. Thanks!
If you wanted to add two numbers together, for example, such as 14 and -6, these would have to be converted to two's complement notation in 8 bits. 14 converts to 0000 1110 in two's complement, binary notation, 8 bits. -6 converts to 1111 1010 in the same notation. Now we need to convert the binary to hexadecimal which we do by replacing each four bits with a hexadecimal digit as in Figure 1.6 on page 25 of the text. 0000 1110 converts to 0e 1111 1010 converts to fa To add these we need to enter them into memory cells, The cells hold 16 bits each in Memory List format, but our data is only 8 bits, so we have to pad our data to fit. We would put Oe00 and fa00 into two cells as data. The extra 00 in each is not used when the data in that address is read The Brooshear Machine applet can be found here: http://bmachine.sourceforge.net/ (to be able to run it you will need to have Java installed on your machine). Running the applet is not required for this assignment Here is an example of a program to add the two numbers -6 and 14 as entered in the applet. The first five memory locations hold instructions while the next two hold -6 and 14. The address location 0a holds -6 as fa with padding of 00, while address location 0c holds 14 as Oe with padding of 00 emory LiS 00 100a Load register O with bit pattern found at 0a 02 110c Load register 1 with bit pattern found at 0c 04 5201 Add registers 0 and 1 as two's complement, store result in register 2 06 320e Store bit pattern from register 2 at address O 08 c000 Halt execution Oa fa00 Oc 0e00 Oe emo If you wanted to add two numbers together, for example, such as 14 and -6, these would have to be converted to two's complement notation in 8 bits. 14 converts to 0000 1110 in two's complement, binary notation, 8 bits. -6 converts to 1111 1010 in the same notation. Now we need to convert the binary to hexadecimal which we do by replacing each four bits with a hexadecimal digit as in Figure 1.6 on page 25 of the text. 0000 1110 converts to 0e 1111 1010 converts to fa To add these we need to enter them into memory cells, The cells hold 16 bits each in Memory List format, but our data is only 8 bits, so we have to pad our data to fit. We would put Oe00 and fa00 into two cells as data. The extra 00 in each is not used when the data in that address is read The Brooshear Machine applet can be found here: http://bmachine.sourceforge.net/ (to be able to run it you will need to have Java installed on your machine). Running the applet is not required for this assignment Here is an example of a program to add the two numbers -6 and 14 as entered in the applet. The first five memory locations hold instructions while the next two hold -6 and 14. The address location 0a holds -6 as fa with padding of 00, while address location 0c holds 14 as Oe with padding of 00 emory LiS 00 100a Load register O with bit pattern found at 0a 02 110c Load register 1 with bit pattern found at 0c 04 5201 Add registers 0 and 1 as two's complement, store result in register 2 06 320e Store bit pattern from register 2 at address O 08 c000 Halt execution Oa fa00 Oc 0e00 Oe emo
