# HW1 - -00101001 (C) 00101001 -00110110 TA: Grade: 9/09/09...

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9/09/09 _______ ____________________ section name ECSE-2610 COCO: HW # 1 9/9/09 ECSE-2610 Computer Components and Operations, Homework # 1 Due Wednesday, September 9, 2009 in studio 1. (3 points) Give the sign-magnitude binary form of: (a) +12 10 (8 bits) = ______________ (b) -12 10 (8 bits) = ______________ (c) -121 10 (8 bits) = ______________ 2. (3 points) Convert to two’s-complement binary form: (a) +12 10 (8 bits) = ______________ (b) -12 10 (8 bits) = ______________ (c) -121 10 (8 bits) = ______________ 3. (4 points) Convert the following decimal numbers to binary form with 4 bits before and 4 bits after the binary point: (a) 2.75 = ______________ (b) 13.375 = ______________ 4. (6 points) Binary addition and subtraction in 8-bit sign-magnitude form Check for overflow. (a) 00110110 +00101001 (b) 00110110

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Unformatted text preview: -00101001 (C) 00101001 -00110110 TA: Grade: 9/09/09 _______ ____________________ section name ECSE-2610 COCO: HW # 1 9/9/09 (d) 01111001 +11111001 (e) 01111001 +01111001 (f) 11111001 +11111001 5. (4 points) Perform the following additions of 2’s complement numbers, showing all the carries. Verify the addition by converting to decimal. (a) 0011 1110 0011 0111 (b) 1100 0011 0110 0101 6. (5 points) (a) What is the largest 12-bit sign-magnitude number? ____________ 10 (b) What is the smallest (i.e., negative) 12-bit sign-magnitude number? ____________ 10 (c) What is the largest 12-bit 2’s complement number? ____________ 10 (d) What is the smallest 12-bit 2’s complement number? ____________ 10 (e) At most how many different values can be represented with 10 bits? ____________ 10...
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## This note was uploaded on 03/03/2010 for the course ECSE 2610 taught by Professor Ji during the Spring '08 term at Rensselaer Polytechnic Institute.

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HW1 - -00101001 (C) 00101001 -00110110 TA: Grade: 9/09/09...

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