Convert the following binary numbers to hexadecimal and to decimal: (a) 10.1101 (b) 111.010
1. Convert the following binary numbers to hexadecimal and to decimal:
(a) 10.1101
(b) 111.010
2.
a) Represent the decimal number 6244 in
(i) BCD(
ii) excess-3 code
(iii) 2421 code
b) Convert the following decimal numbers in BCD and perform addition 99 and 1.
3. Express following function in a) sum of minterm b) product of maxterm (xy + y') xy + yz (y + z') + X
4. Design a circuit that can convert BCD to 4, 4, 2, 1. Show all the steps (Specifications, Truth Table, K Map, Boolean Expression)
5. a) For a given Boolean function F (w, x, y, z) = (1,3,5,7,9,15) which has the don't care conditions d (w, x, y, z) = (4,6,12,13). Simplify the Boolean expression using K-map method.
b) Simplify (without K-map) to two literals: A'B'C' +A’BC' + AB'C + ABC
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