SOLVED CS302 Assignment 1 Solution and Discussion

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Digital Logic Design (CS302)
Assignment # 01

Total marks = 20

Deadline:01-06-2020

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Topic Covered:
Number Systems
Octal number
BCD Numbers
Lectures Covered
Lecture 01- 06

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Questions No 01 Marks (05)

Perform decimal to binary conversion on given decimal number using Sum-of-weights method. Verify the answer using repeated division method.

Decimal Number=1050

Questions No 02 Marks (10)

Perform the following arithmetic operations. For conversion you can use indirect method of conversion only.

〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(________)_16
Questions No 03 Marks (05)

Perform BCD addition between these two numbers. Kindly perform all the steps.
46
37

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Download CS302 Assignment Solution

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Download CS302 Assignment Solution

[zaasmi]

@zaasmi said in CS302 Assignment 1 Solution and Discussion:

Questions No 02 Marks (10)
Perform the following arithmetic operations. For conversion you can use indirect method of conversion only.
〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(________)_16
Questions No 03 Marks (05)
Perform BCD addition between these two numbers. Kindly perform all the steps.
46
37

• (E2BC3F)_16 is already in Hexadecimal number system so there is no change required.
• (10110101000000011110001)_2
  We must make 4-bit pairs as Hexadecimal number system uses 4-bits to represent a number.

0101 1010 1000 0000 1111 0001
5 A 8 0 F 1

• Hence,(10110101000000011110001)_2=(5A80F1)_16
  (537476217)_8
  Now for an octal number, we must have to convert the octal number into a Binary Number System then convert that Binary Number to a Hexadecimal Number System.

(537476217)_8=(101 011 111 100 111 110 010 001 111)_2

Again, as we use 4-bits to represent a Hexadecimal Number, we have to rearrange the stated Binary Number.

(101 011 111 100 111 110 010 001 111)_2=(0101 0111 1110 0111 1100 1000 1111)_2
=5 7 E 7 C 8 7
(537476217)_8= (101 011 111 100 111 110 010 001 111)_2=(57E7C8F)_16

By performing the stated arithmetic operations on given three Hexadecimal Number System, we will get the final Answer.

〖(E2BC3F)〗_16-(10110101000000011110001)_2+ (537476217)_8 =(606B7DD)_16

[zaasmi]

@zaasmi said in CS302 Assignment 1 Solution and Discussion:

Questions No 01 Marks (05)
Perform decimal to binary conversion on given decimal number using Sum-of-weights method. Verify the answer using repeated division method.
Decimal Number=1050

Sum of Term	Highest Weight	Binary Number	Sum of Term – Highest Weight
1050	1024	10000000000	26=1050-1024
26	16	10000100000	10=26-16
10	8	10000011000	2=10-8
2	2	10000011010	0=2-2

Binary Equivalent= (10000011010)2
Repeated Division Method:

2	1050
2	525-0
2	262-1
2	131-0
2	65-1
2	32-1
2	16-0
2	8-0
2	4-0
2	2-0
	1-0