9 Assuming a given length of 8 bits what are the decimal val

 9. Assuming a given length of 8 bits, what are the decimal values of the following signed binary numbers after being arithmetically shifted to the left by 2 bits?  (a) 11110011 (b) 01110010 (c) 00101011 (d) 11011001 State whether there is an overflow.  

Solution

a) 11110011

Signed binary value in decimal = -13

binary after shifting left by two bits :-- 11001100

Signed binary value in decimal after shifting left by two bits = -52

no over flow

b)01110010

Signed binary value in decimal = 114

binary after shifting left by two bits :-- 11001000

Signed binary value in decimal after shifting left by two bits = -56

over flow

c)00101011

Signed binary value in decimal = 43

binary after shifting left by two bits :-- 10101100

Signed binary value in decimal after shifting left by two bits = -84

over flow

d)11011001

Signed binary value in decimal = -39

binary after shifting left by two bits :-- 01100100

Signed binary value in decimal after shifting left by two bits = 100

no over flow