1. Give the binary and hexadecimal equivalent of decimal numbers

13
468

2. Give the 1's and 2's complement representation  for the decimal numbers

-108
-55

3. Perform the following subtractions using 2's complement addition and
an 8 bit number size

79 - 55
68 - 115
235 - 142
150 - 45

4. Perform the following subtraction in both binary and 2's complement using
16 bit number size

1677 - 1078

5. write down the Gray code on 5 bits.


6. Represent the following decimal numbers as  sequences of 4 bytes using
the floating point single precision real number system you were taught in class.

-0.015625 
1.625



7. Find the  decimal numbers represented by the following byte sequences
assuming the same  scheme used above.
 (the leftmost byte is the Most Significant)

43 F0 B4 00
3D E8 00 00


8. Simplify using 3 variable Karnaugh maps

F(A, B,C) = m0 + m2 + m3 + m4 + m5
F(x,y,z) = m1 + m2 + m3 + m6 + m7

9. Simplify the following using 4 variable Karnaugh maps

F(w,x,y,z) = m2 + m3 + m10 + m11 + m12 + m13 + m14 + m15
F(A,B,C,D) = m4 + m6 + m7 + m15

10. Draw a NAND logic diagram to implement the compliment of

F(A,B,C,D) = m0 + m1 + m2 + m3 + m4 + m8 + m9 + m12

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