PLEASE EXPLAIN AND SHOW SOLUTIONS TO GET FULL POINTS 1) Which of the following n

Question

PLEASE EXPLAIN AND SHOW SOLUTIONS TO GET FULL POINTS

1) Which of the following numbers is the binary representation of 4210 ?

a) 011001002 b) 001011012 c) 101011002 d) 001010102 e) none of the above

2)Which of the following numbers is the decimal representation of 111101101002?

a) 9010 b) 49310 c) 36.12510 d) 197210 e) None of the above

3) Which of the following is the sum of 001010102 and 101011002 ?

a) 101011102 b) 001010002 c) 110101102 d) 102021102 e) None of the above.

PLEASE EXPLAIN SOLUTIONS

Explanation / Answer

1) Which of the following numbers is the binary representation of 4210 ?

write 42 in powers of 2 thus
42 = 32+10 = 32 + 8 + 2 = 0*2^7+0*2^6++1*2^5++0*2^4++1*2^3++0*2^2++1*2^1++0*2^0 = 00101010
option d answer.

2)Which of the following numbers is the decimal representation of 11110110100?

1*2^10+1*2^9+1*2^8+1*2^7+0*2^6+1*2^5+1*2^4+0*2^3+1*2^2+0*2^1+0*2^0
= 1024 + 512 + 256 + 128 + 32 + 16 + 4 = 1972

option d answer.

3) Which of the following is the sum of 001010102 and 101011002 ?
     1 1   represents carry.
   00101010
   10101100
----------------------------
    11010110
  
option C answer.

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