CS101 Assignment 1 Solution Fall 2021 Perfect Solution
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Question No 1
- Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.
- Decode the following 8-bit floating point binary value to decimal fractional value.
Hint: Use the following 8-bit floating-point notation to convert these values.
As the given Number is negative thatβs why Sign bit of Floating point notation will be 1
Now we will Convert 3.5 Decimal Number into Binary One.
3.5 in a Binary One is 011.1
Find Mantisa:
To Get the Mantisa, we must have to move 3 numbers towards right side in the concluded binary number that is 011.1.
And after moving:
So, our Exponent is Positive 3 in excess notation 4 is 111
Our Final 8 bit floating Notation is
D ecode the following 8-bit floating point binary value to decimal fractional value.
FOR MANTISA:
Using the strategy of dividing the given number in four bit pattern then Our Mantisa will be:
FOR EXPONENT:
Our Exponent is 010
And in 3 bit Excess notation 010 is equal to -2.
Our Exponent is Negative thatβs why we will shift our redix of .1100 towards the left Side.
Then we will get the below given result;
Now we will convert the given Binary value into Decimal value.
.101100 is equal to 1011.
1/2 + 0 + 1/8 + 1/16 =
8 + 2 + 1 / 16 = 11/16
= 0.6875 Answer
Perform the binary addition on the following decimal numbers:
As we have given data and Now we will convert this decimal data into binary addition but one by one:
Now Part One in Binary Digit is 101110.0110
While Part Two in Binary Digit is 1011100.1110
Now we will add these Binary Numbers:
So we Got the Final Binary Number
Answer is 10001011.0100
Question Number 3
CS101 Assignment 1 Solution Fall 2021
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CS101 Assignment 1 Solution Fall 2021 Question No 1 (Requirement 1) Solution. Convert into Binary -3 = -11. Shifting the decimal point-1 x 2 1 Sign Bit = 1 Exponent = 100 Mantissa = 1100 Arranging sign bit, exponent and mantissa according to format. It will become 110011000-3 = 11001100
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Introduction to Computing (CS101) Assignment # 01 Fall 2021 Student Name: Rifat Ali Khan Student ID : mc210400433. Solution (Question 1-A):-3.5 is Encoded in Binary 8 bit Floating Point Notation in following Steps; First Converting to Binary Form:
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View CS101 Assignment 1 Solution Fall 2021.docx from CIS 530 at California State University, Fullerton. CS101 Assignment 1 Solution Fall 2021 Question No 1 (Requirement 1) Solution Convert into
Solution: The number is negative so sign bit notation is 1. o First convert 3.5 into a Binary of 3.5. Mantissa field: 0111 radix in .0111 must be moved 3-bit to the right to obtain 011.1 So exponent is positive 3.
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CS101 Assignment 1 Solution Fall 2021. By ConceptsBuilder. Question No 1. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.-3.5; Decode the following 8-bit floating point binary value to decimal fractional value. 00101100
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