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Lab 1 Binary Conversion Lab

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Submitted By gian145
Words 317
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Gian Ciannavei

Lab 2: Number Conversion Lab
Task 1:
Below is an example that shows how to turn the decimal number ‘125’ into a binary number.
125/2=62 R1
62/2=31 R0
31/2=15 R1
15/2=7 R1
7/2=3 R1
3/2=1 R1
2/1=1 R1
Binary number = 1111101
Task 2:
Add correlating weights together to gain decimal value from binary number.

1-2-4-8-16-32-64< Weights
1-1-1-1-1-0-1<Bits
64+32+16+8+4+1=125

Task 3 on next page
Gian Ciannavei; Lab 2
Task 3: Below is an example on how to turn the decimal ‘210’ into a hexadecimal using the division by 16 methods.
210/16=13 R2
13 (lsd) 2 (msd)
16-1 <weights
13-2 <Digits=D2 Next is an example of how to turn a hexadecimal into a decimal, in this case, back to ‘210’.
16*13=208 1*2=2
2+208=210
Note: You can also convert the decimal number into binary and turn the binary number into a hexadecimal.
210/2=105 R0
105/2= 52 R1
52/2=26 R0
26/2=13 R0
13/2=6 R1
6/2=3 R0
3/2=1 R1
½=1 R1
210=11010010

1101=13 0010=2
13(LSD) 2(MSD) =D2

Task 4: Convert hexadecimal number E7 into a decimal.
14(LSD) 7(MSD) =E7
14*16=224 7*1=7
224+7=231

Gian Ciannavei; Lab2
Convert hexadecimal E7 into binary, and then back to decimal to check answers.

14(LSD) 7(MSD) =E7
14*16=224 7*1=7 224+7=231

231/2=115 R1
115/2=57 R1
57/2=28 R1
28/2=14 R0
14/2=7 R0
7/2=3 R1
3/2=1 R1
½=1 R1
Binary =

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