The following statement uses a numbering system that is NOT decimal: 235 + 32 = 311....
- The following statement uses a numbering system that is NOT decimal: 235 + 32 = 311. What “base” does this numbering system have? Hint, try using trial and error.
- Calculate the equation: 2 - 5 = -3 using 4-bit signed 2's complement math. Show all your work. Prove the answer -3 using 2’s complement.
- What is the lowest number and the highest number that can be
represented with 5 bits using:
- unsigned numbers?
- 2's complement numbers?
Homework Answers
235 + 32 =311
here base is 5
the value of 235 base 5 to decimal is 95 and 32 is 20 and 95 + 20=115 in decimal and 211 in base 5
2-5=-3
2= 0010
5= 0101
-5=1011
2-5=1101
since ist bit is 1 so it is negative
2's complement of 1101=0011=3
ans is -3
highest value and lowest
unsigned :- 11111=31
00000=0
in 2's
highest value 01111=15
lowest 11111=-15
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The following statement uses a numbering system that is NOT
decimal: 235 + 32 = 311....
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