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Question No: 1 (a)Determine thedecimal value of the signed binary number ‘111010

ID: 3614127 • Letter: Q

Question

Question No: 1

(a)Determine thedecimal value of the signed binary number ‘11101000’expressed in 1’scomplement                                                                                 

(b) Convert the graycode ‘10101111’ tobinary                                             

Question No: 2

What will be the output F of the following circuit at inputs?

                 A B C

(i)                0   0 0

(ii)              0 1 0

(iii)            1 1 1

(iv)            1 0 1

(v)              1 0 0                                                                                                  


Explanation / Answer

Question No: 1

(a)Determine the decimal value of the signed binarynumber ‘11101000’ expressed in 1’scomplement      flip thebits    00010111 convert to decimal 1+2+4+16=23                 so it's -23                                                        

(b) Convert the gray code ‘10101111’ tobinary   

A. write down the number in graycode
B. the most significant bit of thebinary number is the most significant bit of the gray code
C. add (using modulo 2) the nextsignificant bit of the binary number to the next significant bit ofthe gray coded number to obtain the next binary bit
D. repeat step C till all bits of the gray coded number have beenadded modulo 2

11001010                                      

Question No:2

What will be the out put F of thefollowing circuit at inputs?

                 A B C

(i)                0   0 0    0

(ii)              0 1 0      0

(iii)            1 1 1      1

(iv)            1 0 1       1

(v)              1 0 0         0                                                                                        


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