a. Consider a fixed-point representation using decimal digits, in which the implied radix point can be in any position (e.g. to the right of the least significant digit, to the right of the most significant digit, and so on). How many decimal digits are needed to represent the approximations of both Planck’s constant and Avogadro’s number the implied radix point must be in the same position for both numbers?
b. Now consider a decimal floating-point format with the exponent stored in a biased representation with a bias of 50. A normalized representation is assumed. How many decimal digits are needed to represent these constants in this floating- point format?
Can you please check this?
I got answer A as 53 bits
While for answer B
Since they have given Biased for decimal = 50
Then Planck Constant which is 6.63*10-27 for this Biased Exponent Field= -27+50= 23
Similarly for Avogadro numbers which is 6.02*1023
For this Biased Exponent Field= 23+50 = 73
Now, they asked us to find number of digit in decimal only to represent this number
For Planck Constant
Sign bit | Exponent Field | Significand |
0 | 23 | 63 |
Similarly for Avogadro
Sign bit | Exponent Field | Significand |
0 | 73 | 02 |
Here 6 is a hidden bit in both cases
Therefore to represent this number both we required 5 digit
Is it right?