Digital
Electronics
Assignment-I
1.
Perform
the subtraction with the decimal numbers given using
(i) 10’s complement. (ii) 9’s complement. Check the answer by
straight subtraction
(a)
5249 – 320 (b) 3571 – 2101.
2. (i)
Define Minterm and Maxterm
3. Simplify
the Boolean expression (i) F = C(B +
C)(A + B + C).
(ii) T=(x + x y z )+ (x + x y z)(x + x y z).
4. Determine
the Binary, Hexa and Octal numbers representation for decimal number 10.625.
5. (i)Perform
the BCD addition: 808 + 229. (ii)Perform the BCD subtraction: 557-399.
6. (i)
Convert the expression into its standard SOP equation. Y = (A + BC) (B + C’
A) (ii) Convert the expression to standard POS equation. Y = (A +
B) (A + C) (B + C’)
7. Simplify
the following function in (a) s–o-p and (b) p–o–s by using K-Map. Realize it by
using logic gates F(A, B, C, D) = Σ (3, 4, 6, 7, 11, 12, 13, 14, 15)
8. Simplify
it by using K-Map f( A,B,C,D) = Σ m
(0,1,5,7,11,12,13,14,15) and realize using NAND gates.
9. Simplify
it by using K-Map f( A,B,C,D) = Π M (
2,3,5,7,10,13,14,15) and realize using NOR gates.
10. Simplify
the Boolean function using tabular method.
F(A, B, C, D, E) = Σ (0, 1, 4,
5, 16, 17, 21, 25, 29, 30).
11. Simplify
the Boolean function using tabular method
F(A, B, C, D, E, F) = Σ (6, 9,
13, 18, 19, 27, 29, 41, 45, 57, 61, 63)
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