This assignment asks students to convert between different number systems, including binary, decimal, octal, and hexadecimal. It provides examples of converting binary numbers to decimal numbers and decimal numbers to binary numbers. It also gives examples of converting octal and hexadecimal numbers to their binary equivalents. The objective is to help students understand how to enable conversion between different number systems.

1. Assignment # 2
Objective
This assignment is designed to help you enable understand the conversion between different
number systems.
Assignment
Question No. 1: Convert the following Binary Number into Decimal Numbers. (Marks 2+2)
a. 100101
= (1 x 25) + (0 x 24) + (0 x 23) + (1 x 22) + (0 x 21) + (1 x 20)
= (1 x 32) + (0 x 16) + (0 x 8) + (1 x 4) + (0 x 2) + (1 x 1)
= (32) + (0) + (0) + (4) + (0) + (1)
= 32 + 4 + 1
= 37
b. 1110 0111
= (1 x27)+(1 x26)+(1 x25)+(0 x24)+(0 x23)+(1 x22)+(1 x21)+(1 x20)
= (1 x 128)+(1 x 64)+(1 x 32)+(0 x 16)+(0 x 8)+(1 x 4)+(1 x 2)+(1 x 1)
= (128) + (64) + (32) + (0) + (0) + (0) + (4) + (2) + (1)
= 231
Question No. 2: Convert the following Decimal Numbers into Binary Numbers. (Marks 2+2)
a. 567
2 2567
2 283→1
2 141→1
2 70 →1
2 35 →0
2 17 →1
2 8 →1
2 4 →0
2 2 →0
1 →0
=(1000110111)2

2. b. 90
2 90
2 45→0
2 22→1
2 11→0
2 5 →1
2 2 →1
1 →0
=(1011010)2
Question No. 3: convert the following Octal and Hexadecimal Numbers into Binary Numbers.
(Marks 2+2)
a. 43
4 3
100 011
=(100011)2
b. 2AF
2 10 15
0010 1010 1111
=(001010101111)2