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### WI12-hw1-sol

Course: EEC 180A, Spring 2012
School: UC Davis
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Word Count: 105

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OF UNIVERSITY CALIFORNIA--DAVIS DEPARTMENT OF ELECTRICAL &amp; COMPUTER ENGINEERING EEC180A -- DIGITAL SYSTEMS I Winter 2012 PROBLEM SET 1--SOLUTION 1. PROBLEM A.2 (PART F) Decimal 798 = Octal 1436 2. PROBLEM A.3 (PART E) Binary 1111 0011 = Hex F3 3. PROBLEM A.10 (PART C) (Base-16) 10A + (Base-8) 201 = ?? Converting 201 to Base-16, we get (Base-8) 201 = (Base-2) 010000001 = (Base-16) 81 1 0 A + 8 1 1 8 B...

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OF UNIVERSITY CALIFORNIA--DAVIS DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING EEC180A -- DIGITAL SYSTEMS I Winter 2012 PROBLEM SET 1--SOLUTION 1. PROBLEM A.2 (PART F) Decimal 798 = Octal 1436 2. PROBLEM A.3 (PART E) Binary 1111 0011 = Hex F3 3. PROBLEM A.10 (PART C) (Base-16) 10A + (Base-8) 201 = ?? Converting 201 to Base-16, we get (Base-8) 201 = (Base-2) 010000001 = (Base-16) 81 1 0 A + 8 1 1 8 B So, (Base-16) 10A + (Base-8) 201 = (Base-16) 18B 4. PROBLEM A.14 (PARTS D AND E) 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 (e) Decimal Decimal (-16) (+15) Decimal (-1) 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 (d) + Decimal (-14) Decimal (-2) Decimal (-16) Discarded + 5. PROBLEM: EXPRESS THE NUMBERS BELOW IN THE FOLLOWING 12-BIT FORMATS: SIGN & MAGNITUDE, ONE'S COMPLEMENT, AND TWO'S COMPLEMENT Decimal +31 -63 -1 -100 Sign & magnitude 000000011111 100000111111 100000000001 100001100100 One's Complement 000000011111 111111000000 111111111110 111110011011 Two's Complement 000000011111 111111000001 111111111111 111110011100 UC Davis 1 Hussain Al-Asaad
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