Convert between different number systems. Fill-in the table below Row 1 only: Decimal Binary Hexadecimal 154

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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please help with this three part question (parts a,b,c)
Part A
Convert between different number systems. Fill-in the table below Row 1 only:
Decimal
Binary
Hexadecimal
154
ID.4
0.125
O 123, 111 1011, 7B
O 154, 10011010, A9
O 123 ,101 1011, 7B
O 154, 10011010, 9A
Part B
Convert between different number systems. Fill-in the table of question 8 above, Row 2 only:
O 27.625, 11011.111, 1B.B
O 27.625, 11111.101, 1B.A
O 29.25, 00011101.0100, D1.4
O 29.25, 00011101.0100, 1D.4
Part C
Convert between different number systems. Fill-in the table of question 8 above, Row 3 only:
O 0.125, 0.01, O.2
O 0.25, 0.01, 0.2
O 0.3125, 0.0101, 0.5
O 0.3125, 0.0101, 0.5
Transcribed Image Text:Part A Convert between different number systems. Fill-in the table below Row 1 only: Decimal Binary Hexadecimal 154 ID.4 0.125 O 123, 111 1011, 7B O 154, 10011010, A9 O 123 ,101 1011, 7B O 154, 10011010, 9A Part B Convert between different number systems. Fill-in the table of question 8 above, Row 2 only: O 27.625, 11011.111, 1B.B O 27.625, 11111.101, 1B.A O 29.25, 00011101.0100, D1.4 O 29.25, 00011101.0100, 1D.4 Part C Convert between different number systems. Fill-in the table of question 8 above, Row 3 only: O 0.125, 0.01, O.2 O 0.25, 0.01, 0.2 O 0.3125, 0.0101, 0.5 O 0.3125, 0.0101, 0.5
Expert Solution
Step 1 how to convert 154 binary to decimal

We should know that all decimal numbers use of 10 digits which are (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9)

Similarly binary consists of only two digit (0,1)

Now, 

Step 1 . Divide the whole decimal number by the 2 (binary no.) to get the quotient take  the whole part of the quotient and divide it again by 2 (keep remainder  aside )

Step 2. Keep dividing the quotient until it completely divisible by 2 and  becomes 0.

Step 3. Now write down all the remainders in reverse order to get the converted decimal to binary number.

 

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