CS302 Assignment No. 01 Solution

	Assignment No. 01 Semester: Spring 2011 CS302: Digital Logic Design		Total Marks: 10 Due Date: 18/04/2011
Instructions: Please read the following instructions carefully before submitting assignment: It should be clear that your assignment will not get any credit if: § The assignment is submitted after due date. § The assignment is submitted via email. § The submitted assignment does not open or file is corrupt. § All types of plagiarism are strictly prohibited. Objectives: · Understanding the number system. · Understanding the conversion of numbers into various number systems. Guidelines: · Perform all steps while converting the numbers.
Assignment
Problem Statement: 1) Convert 10101100 binary numbers to its decimal equivalent. (2 Marks) Solution: 10101100 = 1x27 + 0x26 + 1x25 + 0x24 + 1x23+ 1x22 + 0x21 + 0x20 = 1x128 + 0x64 + 1x32+ 0x16 + 1x8 + 1x4 + 0x2 + 0x1 = 128+0+32+0+8+4+0+0 = 172 2) Convert decimal number 374 to octal number. (2 Marks) Solution: We will use repeated division method. 8 374 8 46 – 6 8 5 – 6 0 - 5 Now writing the reminders in the reverse order 566. 3) Convert the following 0110100000111001 (BCD) in to decimal number. (2 Marks) Solution: We first of all with will write 0110100000111001 in the groups of four bits, and then will write down the decimal equivalent of each group. = 0110 1000 0011 1001 6 8 3 9 Our required decimal number is 6839 4) Convert B2A16 to Octal (2 Marks) Solution: First we will convert B2A to Binary 1011 0010 1010 Now grouping into 3 bit 101 100 101 010 5 4 5 2 We will get 5452 5) Convert decimal number 3085 to hex Solution: 16 3085 16 192 – 13 16 12 – 0 16 0 – 12 12 0 13 C 0 D We will get C0D16
Deadline: Your assignment must be uploaded/submitted on or before 18th April, 2011