s it possible to review the 10 problems and show work if needed on the attached word document

 

Name:____________________________ HOMEWORK #1 – Week #1
This homework assignment is worth 10% of your course grade..
Read each problem carefully. Failure to follow the instructions for a problem will
result in a zero score for that problem.
Submit the completed Homework via Assignment in LEO
1. How many milliseconds (ms) are in one second? (0.001 or 10−3 or1/1000 or 103 (1000) 2. How many microseconds (us) are in one second? 1e-6 or 106 (1,000,000) 3. How many bytes are in 20 megabytes? 2e-5 or 20,971,520 4. Convert the number below from a binary number to a hexadecimal number
1001101011011.01111
135B.78 5. 6. Convert the number below from a binary number to a decimal number.
10000000110. 011
406.6
Convert the hexadecimal number below to a binary number
8 9 A. 0 C 100010011010.00001100
7.
What is the decimal equivalent of the IEEE 754 binary floating point number shown
below?
0 1000 0001 0110 0000 0000 0000 0000 000
0 is the sign bit, 0 indicates positive, hence the number will also be a positive number.
The exponent is simply a positive binary number.
10000001bin=129ten
Subtract the bias for this 2, single precision format so the value will be 127. 1 Generally the binary representations will be looking like this,
0.1=(1/2)=2-1,0.01=(1/)=2-2,0.001=(18)=2-3
Here we need to multiply all the digit
0110 0000 0000 0000 0000 000=0*2-1+1*2-2+1*2-3+0*2-4
0110 0000 0000 0000 0000 000=1/2*1/8*1/16+……
So approximately the format will be 0.400000007897687
(0)signbit* (+fraction) *2exponent-bias
(0)1*(1.400000007897687)*2129-127
=5.6
For problems 8, 9 and 10, convert the following decimal numbers into 8-bit binary
numbers as required for 2's complement math, and perform the indicated operations.
Circle or bold your binary answer and show your work.
Notes: Remember that positive numbers are represented in sign-magnitude format in 2's
complement math
8.
+38
+30
= 68
32 + 4 + 2
16 + 8 + 4 + 2 0100110
0011110 111111
0 00100110
0 00011110
0 001000100 Carries 9.
+38
- 30
= 08
0
1
1
+ 00100110
00100001
000000111
1
000001000 1st Complement 2 10.
- 38
+30
= -8
1
0
1
+
1 00 011001
000 11110
11110111
1
111111000 1st Complement 3

Attachments:

• 1493257115-C310-HW1.doc