1) IEEE 754 Floating Point Standard: This standard is used to represent floating-point numbers (real numbers) digitally in computer memory. The standard provides two representations which have different accuracies: double precision and single precision. Double Precision - Sbytes = 64 bits Bit 63 (one bit): Sign (0-positive, 1-negative) Bits 62 to 52 (11 bits): Exponent, biased by 1023 o Bits 51 to 0 (52 bits): Fraction f of the number 1.f Single Precision - 4bytes - 32 bits o Bit 31 (one bit): Sign (O positive, 1-negative) Bits 30 to 23 (8 bits): Exponent, biased by 127 Bits 22 to 0 (23 bits): Fraction f of the number 1.f Procedure to Find the Double-Precision Representation of a Number x: Let the representation be (663,662, ..., bz,ba,b) with 563 being the most significant bit and bbeing the least significant bit. Sign Bit: 563 = x 20 x 1 { set new bit as 1 yy-1 3 else { set new bit as 0 } b) Verify the representation using: fwrite(fid, x, type); fclose(fid); 1) IEEE 754 Floating Point Standard: This standard is used to represent floating-point numbers (real numbers) digitally in computer memory. The standard provides two representations which have different accuracies: double precision and single precision. Double Precision - Sbytes = 64 bits Bit 63 (one bit): Sign (0-positive, 1-negative) Bits 62 to 52 (11 bits): Exponent, biased by 1023 o Bits 51 to 0 (52 bits): Fraction f of the number 1.f Single Precision - 4bytes - 32 bits o Bit 31 (one bit): Sign (O positive, 1-negative) Bits 30 to 23 (8 bits): Exponent, biased by 127 Bits 22 to 0 (23 bits): Fraction f of the number 1.f Procedure to Find the Double-Precision Representation of a Number x: Let the representation be (663,662, ..., bz,ba,b) with 563 being the most significant bit and bbeing the least significant bit. Sign Bit: 563 = x 20 x 1 { set new bit as 1 yy-1 3 else { set new bit as 0 } b) Verify the representation using: fwrite(fid, x, type); fclose(fid)