Questions about Floating Point and Bits Problem 3: Bits of Floating Point Repres

Question

Questions about Floating Point and Bits

Problem 3: Bits of Floating Point Represent the following numbers in single-precision IEEE floating point. Give your answers in hexadecimal A. 2.000000 B. -262143.984375 C. -326666.604111 D. 4194304.250000 Convert the following single-precision floating-point numbers (given in hexadecimal) to decimal: E. Oxc2000000 F. Ox3d300000 G. 0x47180000 H. Oxbb880000 Given the following two single-precision IEEE floating-point numbers: x-0x48a00000 and y-0x3d200000 Compute the following: I. sign of x (+ or-) J. exponent of x (in decimal without bias) K. significand of x (in decimal) L. sign of y (+or-) M. exponent of y (in decimal without bias) N. significand of y (in decimal)

Explanation / Answer

A) 40000000

B) C87FFFFF

C) C89F8153

D) 4A800000

E) -32

F) 0.04296875

G) 126976

H) -0.004150390625

I) +

J) 145

K) 1.2500000

L) +

M) 122

N) 1.2500000

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