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