CS302 Assignment 1 Solution and Discussion

Digital Logic Design (CS302)
Assignment # 01Total marks = 20
Deadline:01062020
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Number Systems
Octal number
BCD Numbers
Lectures Covered
Lecture 01 06NOTE
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[email protected]Questions No 01 Marks (05)
Perform decimal to binary conversion on given decimal number using Sumofweights 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



@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 4bit pairs as Hexadecimal number system uses 4bits 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 4bits 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)_16By 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 said in CS302 Assignment 1 Solution and Discussion:
Questions No 01 Marks (05)
Perform decimal to binary conversion on given decimal number using Sumofweights method. Verify the answer using repeated division method.
Decimal Number=1050Sum of Term Highest Weight Binary Number Sum of Term – Highest Weight 1050 1024 10000000000 26=10501024 26 16 10000100000 10=2616 10 8 10000011000 2=108 2 2 10000011010 0=22 Binary Equivalent= (10000011010)2
Repeated Division Method:2 1050 2 5250 2 2621 2 1310 2 651 2 321 2 160 2 80 2 40 2 20 10