Base (radix) is 2

Radix point is to the left of bit 19, with an implied 1 to its left

Negative numbers are stored in signed magnitude form

Exponent is in value plus 1023

a) What is the base 2 number if 1 01111111001 00100100000000...0 is stored in memory?

negative

Exponent: 512+256+128+64+32+16+8+1=960+57=1017

1017-1023 = -6

- 1.001001000.000 x 2^-6

Answer: - .000001001001₂

b) What is stored for + 100111.1101₂

+ 1.001111101 x 2⁵

Exponent: store 5+1023=1028=1024+4= 10000000100₂

So answer: 0 10000000100 00111110100000000000