Q1. Perform the one’s complement signed binary addition and subtraction

i) 50 -58
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Answer:

In this way, I will convert each 1 to 0 and each 0 to 1
For this example we can write it as 50 + ( -58) and the answer should be (-8)

50 = ( 110010)
58 = ( 111010 )
-58= ( 000101) using one's complement, converting each 1 to 0 and each 0 to 1

110010 ( 50 )
000101 (-58)
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110111 using one's complement, converting each 1 to 0 and each 0 to 1
001000 = ( -8 ) the sign is from the first 1 in the answer.

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ii) 100 rong on (62) 62
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Answer :

The addition is easy because there is no negative number here so I don't need to apply the one's complement role here. The answer should be ( 162)

100 = ( 1100100 )
62 = ( 111110 )

1100100 (100) 0111110 (62) ------------ +
10100010 = 162
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Q2: Multiply the following two floating point numbers 1.110 × 1010 × 9.200 × 10-5

The answer : I will multiply the decimal numbers first.

1.110 9.200 -------- * 0000 00000 222000 9990000
---------------- + 10.212000 the floating point should be after 6 digits from the right

The exponent is 1010 * 10-5 = 10 ( 10-5) = 10 5

The answer is 10.212000 x 105
After eliminating the last three digits from the decimal number it become ( 10.212 x 105 )
The standard form for floating point numbers ( 1.0212 x 10 6 )
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Q3: what are the different stages in Execution of the Little Man Computer and LMC Instruction set?

The Little Man executes instructions that are stored in memory. Like everything else, these are encoded.

Execute cycle
Fetch
o Little Man looks at the instruction counter. o Little Man retrieves the instruction from the mailbox indicated by the counter. o Little Man increments the instruction counter.
Execute
o Little Man performs the instruction retrieved from the previous step. Operations of load, store, add, subtract, input, output, and branching are the instruction set.