1. Convert binary number 1011101 to a decimal number.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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1. Convert binary number 1011101 to a decimal number.
2. Perform the following binary subtractions using the one's complement method.
(а) 11010-10111
(b) 01011-11001
3. Draw and fill out a truth table for the logic circuit given below.
(Tip: you can add columns for intermediate outputs C, D and E for a help)
A
D
OR
AND
AND
F
NOR
В
E
4. The truth table of a logic operation is given at the right-
hand side.
A
B
C
Y
1
(a) Derive the Boolean expression from the truth table,
1
1
1
1
1
1
0 0
(b) Draw a circuit to implement it using NAND or NOR
gates only.
1
1
1
1
1
1
1
5. The Boolean expression of a logic operation is given below
F= A+C+ A·B
(a) Simplify the Boolean expression using Boolean algebra and De Morgan's Theorems.
(b) Draw the circuit to implement the expression you obtain.
- lo lo lo lo
Transcribed Image Text:1. Convert binary number 1011101 to a decimal number. 2. Perform the following binary subtractions using the one's complement method. (а) 11010-10111 (b) 01011-11001 3. Draw and fill out a truth table for the logic circuit given below. (Tip: you can add columns for intermediate outputs C, D and E for a help) A D OR AND AND F NOR В E 4. The truth table of a logic operation is given at the right- hand side. A B C Y 1 (a) Derive the Boolean expression from the truth table, 1 1 1 1 1 1 0 0 (b) Draw a circuit to implement it using NAND or NOR gates only. 1 1 1 1 1 1 1 5. The Boolean expression of a logic operation is given below F= A+C+ A·B (a) Simplify the Boolean expression using Boolean algebra and De Morgan's Theorems. (b) Draw the circuit to implement the expression you obtain. - lo lo lo lo
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