In: Computer Science
convert 0x41BA8000 to IEEE-754 floating-point value
0x41BA8000 Hexadecimal Binary 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 A 1010 B 1011 C 1100 D 1101 E 1110 F 1111 Use this table to convert from hexadecimal to binary Converting 41BA8000 to binary 4 => 0100 1 => 0001 B => 1011 A => 1010 8 => 1000 0 => 0000 0 => 0000 0 => 0000 So, in binary 41BA8000 is 01000001101110101000000000000000 0 10000011 01110101000000000000000 sign bit is 0(+ve) exp bits are 10000011 => in decimal it is 131 so, exponent/bias is 131-127 = 4 frac bits are 01110101 Decimal value is 1.01110101 * 2^4 1.01110101 in decimal is 1.45703125 1.01110101 * 2^4 in decimal is 23.3125 so, 41BA8000 in IEEE-754 single precision format is 23.3125 Answer: 23.3125