Please explain the steps not only the answer. Thank you Deadline: See Blackboard
ID: 3746876 • Letter: P
Question
Please explain the steps not only the answer. Thank you
Deadline: See Blackboard for assignment deadline If any questions require calculations or steps, you must show them to receive full credit. Simply writing the answer in such cases will not suffice. You are permitted to discuss the following questions with others in the class. However, you must write up your own solutions to these questions. . Submission instructions: Submit a hardcopy before start ofclass Each sub-question carries equal weightage. Show your steps for each question (via text, arrows, grouping, etc), do not just write the final answers. 1. Convert the following hexadecimal numbers to decimal: a. 4E b. 3D7 2. How many bits will it take to represent the decimal number 3,120,000? Use the division method to convert 261o to binary Use the division method to convert 5641o to hexadecimal 3. 4. 5. Use the grouping method to convert the following binary number to hexadecimal a. 10101101010112 6. Use the grouping method to convert the following numbers to binary: a. 64358 b. 4F1A16Explanation / Answer
to convert hexadeciaml number to decimal
a) 4E
since E means 14 in decimal,
therefore decimal number :
=> 4x161 + 14x160
=> 64+14
=> 78
b) 3D7
=> 3x162 + Dx161 + 7x 160
=>768 +(13x16)+ 7
=>768 + 208 + 7
=>983
2 .
3120000 / 2 result 1560000 remainder 0
1560000 / 2 result 780000 remainder 0
780000 / 2 result 390000 remainder 0
390000 / 2 result 195000 remainder 0
195000 / 2 result 97500 remainder 0
97500 / 2 result 48750 remainder 0
48750 / 2 result 24375 remainder 0
24375 / 2 result 12187 remainder 1
12187 / 2 result 6093 remainder 1
6093 / 2 result 3046 remainder 1
3046 / 2 result 1523 remainder 0
1523 / 2 result 761 remainder 1
761 / 2 result 380 remainder 1
380 / 2 result 190 remainder 0
190 / 2 result 95 remainder 0
95 / 2 result 47 remainder 1
47 / 2 result 23 remainder 1
23 / 2 result 11 remainder 1
11 / 2 result 5 remainder 1
5 / 2 result 2 remainder 1
2 / 2 result 1 remainder 0
1 / 2 result 0 remainder 1
thereofore ( 3120000 )10 = ( 1011111001101110000000 )2
so number of bit are: 22 bits
3)
26 / 2 result 13 remainder 0
13 / 2 result 6 remainder 1
6 / 2 result 3 remainder 0
3 / 2 result 1 remainder 1
1 / 2 result 0 remainder 1
so number is : 11010 in binary
4)
so nuber is : 234 in hex
5) grouping 4 bits from right to left :
=> (1)(0101) (1010) (1011)
=> (0001)(0101) (1010) (1011)
=>(1)(5)(10)(11)
=>15AB
6) 6435 in octal, every number represented by three bits, so :
=> (6)(4)(3)(5)
=> (110) (100) (011) (101)
=>110100011101
4F1A in hex, contains 4 bits to represent, so:
=> (4)(F)(1)(A)
=> (0100) (1111) (0001) (1010)
=> 0100111100011010
please give thumbs up, thanks
Division Result remainder (in dec) remainder (in hex) 564 / 16 35 4 4 35 / 16 2 3 3 2 / 16 0 2 2