Represent the fixed point decimal number

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Reference no: EM132485065

Assignment Questions -

QUESTION 1 -

(a) Represent the fixed point decimal number + 120.875 in IEEE 754 floating point format. Express your final answer in hexadecimal showing all the working.

(b) Consider a hypothetical floating point format which is similar to IEEE format except that it uses 6 bit excess-31 notation for the exponent and 25 bits for the mantissa in a 32 bit machine. Represent the decimal number from part (a) in hexadecimal using this hypothetical format. Show all the working.

QUESTION 2 -

Given a very small binary number 0.00001100011, represent this number in IEEE 754 floating point format. Express your final answer in hexadecimal showing all the working.

QUESTION 3 -

The hexadecimal number C2618000 represents a decimal number using IEEE 754 floating point format. What decimal number does this represent?

QUESTION 4 -

1. Type the following program as covered in Lecture 3 (slide 23) using the appropriate mnemonics. Run the program using the given LMC executable in the Step by Step mode. Describe in words what you see when you execute the LMC program in this mode.

Mailbox	Code	Instruction Description
00	901	input 1^st Number
01	399	store data
02	901	input 2^nd Number
03	199	add 1^st Number to 2^nd Number
04	902	output result
05	000	stop
99	000	data

QUESTION 5 -

Type the following program as covered in Lecture 4 (slide 33). Run the program using the LMC executable in the Step by Step mode. Describe in words what you see when you execute the LMC program in this mode.

00	IN	901	input first number
01	STO 10	310	save in box 10
02	IN	901	input second number
03	STO 11	311	save in box 11
04	SUB 10	210	result = second - first
05	BRP 08	808	if result < 0 then
06	LDA 10	510	negative
07	SUB 11	211	result = first - second
08	OUT	902	output result
09	HLT	000	stop
10	DAT 00	000	first number
11	DAT 00	000	second number

QUESTION 6 -

The following Little Monkey Computer program is supposed to add two input numbers, subtract third input number from the sum, and output the result., i.e.,

OUT = IN1 + IN2 - IN3

Mailbox	Mnemonic Code	Numeric Code
00	IN	901
01	STO99	399
02	IN	901
03	ADD99	199
04	STO99	399
05	IN	901
06	SUB99	299
07	OUT	902
08	HLT	000

(i) Enter the above program as given. Is the output what you had expected?

(ii) What is wrong with this program?

(iii) Modify the program so that it produces the correct result.

(iv) Verify your modified program using the LMC executable.

QUESTION 7 -

The steps that the Little Monkey in our LMC model performs are closely related to the way in which the CPU actually executes instructions in a real computer.

Draw a flowchart that carefully describes the steps that the Little Monkey follows to execute a branch instruction.

Note: Include all the program files in your submission.

Reference no: EM132485065

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