THE GATEBOOK

Normalization Lectures

In a base 'b' number system . The value of b is:

Answer: 8 First convert in base 10 both side. -> 5b+4/4=b+3 -> 5b+4=4b+12 -> b=8 As a check, (54)8 =5.8+4=44 in base 10, also (4)8=(4)10 . Hence LHS= 11 in base 10.

while (13)8= (8+3) = (8+3) =11 in base 10 as well.

so, b = 8 is right value