CS 302 Assignment# 1 Solution

CS302: Digital Logic Design

Assignment No. 01

Semester: Spring 2011

1.Convert 10101100 binary numbers to its decimal equivalent.172 (2 Marks)

=0*2⁰ + 0*2¹+1*2²+1*2³+0*2⁴+1*2⁵+0*2⁶+1*2⁷

=    1      2       4        8       16      32     64     128

=0*1 + 0*2  +1*4  +1*8 +0*16 +1*32 +0*64 +1*128

=0+0+4+8+0+32+0+128

=172

2. Convert  decimal  number  374  to Octal number. (2 Marks)

 

Answer: 566

 

8	374
8	46	6
	5	6

 

 

3. Convert the following 0110100000111001 (BCD) in to decimal number. (2 Marks)

0110  1000   0011   1001   convert into 4-bit code

6          8          3          9      decimal numbers according to BCD

Answer:   6839

 

4.Convert B2A₁₆ to Octal5452 (2 Marks)

In hex system B = 11 and A = 10

Therefore

= 11*16² + 2*16¹  +  10*16⁰

= 2816+32+10

=2858 decimal

Now in octal number

Answer : 5452 octal

8	2858
8	357	2
8	44	5
	5	4

 

5.Convert decimal number 3085 to hex   (2 Marks)

A= 10

B= 11

C= 12

D= 13

E= 14

F= 15

Answer: C0D

 

16	3085
16	192	13
	12	0