1 / 9

CSCI 6307 Foundation of Systems – Exercise (2)

CSCI 6307 Foundation of Systems – Exercise (2). Xiang Lian The University of Texas – Pan American Edinburg, TX 78539 lianx@utpa.edu. Conversion Between Hexadecimal and Binary Numbers. Please convert the following hexadecimal numbers to binary numbers 2A (hex) E9 (hex) F100 (hex).

wgina
Download Presentation

CSCI 6307 Foundation of Systems – Exercise (2)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CSCI 6307 Foundation of Systems – Exercise (2) Xiang Lian The University of Texas – Pan American Edinburg, TX 78539 lianx@utpa.edu

  2. Conversion Between Hexadecimal and Binary Numbers • Please convert the following hexadecimal numbers to binary numbers • 2A(hex) • E9(hex) • F100(hex)

  3. Conversion Between Hexadecimal and Binary Numbers (cont'd) • Please convert the following binary numbers (2's complement) to hexadecimal numbers • 0001 0100 1111 1001(2) • 1000 1011 0100 1010(2)

  4. Arithmetic Operations • Please use 4 bits to perform arithmetic operations in binary representations, and tell whether there is any overflow • 1000 (2) + 0111(2) • 1001(2) + 1011(2) • 0111(2) + 0101(2) • 0110(2) + 0110(2) • 7(10) + 7(10)

  5. Conversion from Decimal Numbers to Binary Numbers • Please convert the following decimal numbers to binary numbers • 12.5 • 30.2 • 8.75

  6. Floating Point Representation • Please give the binary representation of the floating point number, 12.5, assuming the IEEE 754 single precision format

  7. Recall: IEEE Floating-Point Format single: 8 bitsdouble: 11 bits single: 23 bitsdouble: 52 bits S Exponent Fraction • S: sign bit (0  non-negative, 1  negative) • Normalize significand: 1.0 ≤ |significand| < 2.0 • Always has a leading pre-binary-point 1 bit, so no need to represent it explicitly (hidden bit) • Significand is Fraction with the “1.” restored • Exponent: excess representation: actual exponent + Bias • Ensures exponent is unsigned • Single: Bias = 127; Double: Bias = 1203

  8. What is the clock cycle time of the datapath, if we only need to support ALU instructions? I-Mem: 200ps Add: 70ps Mux: 20ps ALU: 90ps Regs: 90ps D-Mem: 250ps Sign-Extend: 15ps Control: 10ps

  9. Classifications and Terminologies • List the 2 types of elements in the logic design. Give an example for each type. • List 5 stages of the instruction execution in the pipeline • What is the maximum speedup when considering the pipeline? • List 3 types of situations/hazards that cause bubbles in the pipeline

More Related