Float format :
1 bit sign, 10 bit exponent, 7 bit significand
Float value :
010000001110001010
0 10 0000 0111 000 1010
Conversion back :
Sign bit 0 = +
Exponent 1000000111
9876543210
2^9 + 2^2 + 2^1 + 2^0 = 512 + 4 + 2 + 1 = 519
10 bit exponent 2^(n-1) - 1 = 2(10-1)-1 = 2^9 - 1 = 512 - 1 = 511
519 - 511 = 8
Significand (1).0001010
1.0001010 x 2^8 = 100010100.0
100010100
876543210
ating point 0 1000111 0001010
2^8 + 2^4 + 2^2 = 256+16+4 = 276