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Number Conversion Lab

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Submitted By chavito418
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1. Convert the decimal number 125 into binary.
125 /2 = 62 r = 1
62 /2 = 31 r = 0
31 /2 = 15 r=1
15 /2 = 7 r=1
7 /2 = 3 r=1
3 /2 = 1 r=1
1 /2 = 0 r=1
01111101

2. Convert your binary results back into decimal to prove your answer is correct.
Weights = 128 64 32 16 8 4 2 1
Bits = 0 1 1 1 1 1 0 1
64+32+16+8+4+1=125

Task 2: Procedure

1. Convert the binary number 10101101 into decimal. Use the method of adding weights as shown in the example from Task 1.
Weights =128 64 32 16 8 4 2 1
Bits =1 0 1 0 1 1 0 1
128+32+8+4+1=173
2. Use the windows calculator to prove your answer is correct.
10101101=173

Task 3: Procedure

1. Convert the decimal number 210 into hexadecimal.
210 /16 = 13 r = 2
13 /16 = 0 r = 13
132
2. Convert your hexadecimal result back into decimal to prove your answer.
Weights = 16 1
Bits = 13 2
(16*13)+(1*2) = 210

Task 4: Procedure
1. Convert the hexadecimal number E7 into decimal.
231
2. Convert the hexadecimal number E7 into binary then convert the binary results into decimal to prove your answer.
231/2 = 115 r = 1
115/2 = 57 r = 1
57/2 = 28 r = 1
28/2 = 14 r = 0
14/2 = 7 r = 0
7/2 = 3 r = 1
3/2 =1 r = 1
1/2 = 0 r = 1

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